Spawning rings of exceptional points out of Dirac cones

Zhen, Bo; Hsu, Chia Wei; Igarashi, Yuichi; Lu, Ling; Kaminer, Ido; Pick, Adi; Chua, Song-Liang; Joannopoulos, John D.; Soljačić, Marin

doi:10.1038/nature14889

Title: Spawning rings of exceptional points out of Dirac cones

Journal Article · Wed Sep 09 00:00:00 EDT 2015 · Nature (London)

DOI:https://doi.org/10.1038/nature14889· OSTI ID:1371039

Zhen, Bo ^[1]; Hsu, Chia Wei ^[2]; Igarashi, Yuichi ^[3]; Lu, Ling ^[1]; Kaminer, Ido ^[1]; Pick, Adi ^[4]; Chua, Song-Liang ^[5]; Joannopoulos, John D. ^[1]; Soljačić, Marin ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics; Yale Univ., New Haven, CT (United States). Dept. of Applied Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics; NEC Corporation, Tsukuba, Ibaraki (Japan). Smart Energy Research Lab.
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics; Harvard Univ., Cambridge, MA (United States). Dept. of Physics
DSO National Lab. (Singapore)

The Dirac cone underlies many unique electronic properties of graphene and topological insulators, and its band structure—two conical bands touching at a single point—has also been realized for photons in waveguide arrays, atoms in optical lattices, and through accidental degeneracy. Deformation of the Dirac cone often reveals intriguing properties; an example is the quantum Hall effect, where a constant magnetic field breaks the Dirac cone into isolated Landau levels. A seemingly unrelated phenomenon is the exceptional point, also known as the parity–time symmetry breaking point, where two resonances coincide in both their positions and widths. Exceptional points lead to counter-intuitive phenomena such as loss-induced transparency, unidirectional transmission or reflection, and lasers with reversed pump dependence or single-mode operation. Dirac cones and exceptional points are connected: it was theoretically suggested that certain non-Hermitian perturbations can deform a Dirac cone and spawn a ring of exceptional points. Here we experimentally demonstrate such an ‘exceptional ring’ in a photonic crystal slab. Angle-resolved reflection measurements of the photonic crystal slab reveal that the peaks of reflectivity follow the conical band structure of a Dirac cone resulting from accidental degeneracy, whereas the complex eigenvalues of the system are deformed into a two-dimensional flat band enclosed by an exceptional ring. This deformation arises from the dissimilar radiation rates of dipole and quadrupole resonances, which play a role analogous to the loss and gain in parity–time symmetric systems. In this study, our results indicate that the radiation existing in any open system can fundamentally alter its physical properties in ways previously expected only in the presence of material loss and gain.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001299; FG02-09ER46577

OSTI ID:: 1371039

Journal Information:: Nature (London), Vol. 525, Issue 7569; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; ISSN 0028-0836

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 527 works

Citation information provided by
Web of Science

References (39)

$P T$ -Symmetry Breaking and Laser-Absorber Modes in Optical Scattering Systems Chong, Y. D.; Ge, Li; Stone, A. Douglas Physical Review Letters, Vol. 106, Issue 9 https://doi.org/10.1103/PhysRevLett.106.093902	journal	March 2011
Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures Rechtsman, Mikael C.; Zeuner, Julia M.; Tünnermann, Andreas Nature Photonics, Vol. 7, Issue 2 https://doi.org/10.1038/nphoton.2012.302	journal	December 2012
A non-Hermitian Hamilton operator and the physics of open quantum systems Rotter, Ingrid Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 15 https://doi.org/10.1088/1751-8113/42/15/153001	journal	March 2009
Unidirectional Invisibility Induced by $P T$ -Symmetric Periodic Structures Lin, Zin; Ramezani, Hamidreza; Eichelkraut, Toni Physical Review Letters, Vol. 106, Issue 21 https://doi.org/10.1103/PhysRevLett.106.213901	journal	May 2011
Observation of $P T$ -Symmetry Breaking in Complex Optical Potentials Guo, A.; Salamo, G. J.; Duchesne, D. Physical Review Letters, Vol. 103, Issue 9 https://doi.org/10.1103/PhysRevLett.103.093902	journal	August 2009
Larger-area single-mode photonic crystal surface-emitting lasers enabled by an accidental Dirac point Chua, Song-Liang; Lu, Ling; Bravo-Abad, Jorge Optics Letters, Vol. 39, Issue 7 https://doi.org/10.1364/OL.39.002072	journal	January 2014
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice Tarruell, Leticia; Greif, Daniel; Uehlinger, Thomas Nature, Vol. 483, Issue 7389 https://doi.org/10.1038/nature10871	journal	March 2012
Single-mode laser by parity-time symmetry breaking Feng, L.; Wong, Z. J.; Ma, R. -M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258479	journal	October 2014
Realization of an all-dielectric zero-index optical metamaterial Moitra, Parikshit; Yang, Yuanmu; Anderson, Zachary Nature Photonics, Vol. 7, Issue 10, p. 791-795 https://doi.org/10.1038/nphoton.2013.214	journal	August 2013
Observation of parity–time symmetry in optics Rüter, Christian E.; Makris, Konstantinos G.; El-Ganainy, Ramy Nature Physics, Vol. 6, Issue 3 https://doi.org/10.1038/nphys1515	journal	January 2010
Proof of the universality of mode symmetries in creating photonic Dirac cones Sakoda, Kazuaki Optics Express, Vol. 20, Issue 22 https://doi.org/10.1364/OE.20.025181	journal	January 2012
Non-Hermitian Quantum Mechanics Moiseyev, Nimrod https://doi.org/10.1017/CBO9780511976186	book	May 2011
Physics of Nonhermitian Degeneracies Berry, M. V. Czechoslovak Journal of Physics, Vol. 54, Issue 10 https://doi.org/10.1023/B:CJOP.0000044002.05657.04	journal	October 2004
Real Spectra in Non-Hermitian Hamiltonians Having $P T$ Symmetry Bender, Carl M.; Boettcher, Stefan Physical Review Letters, Vol. 80, Issue 24 https://doi.org/10.1103/PhysRevLett.80.5243	journal	June 1998
Parity-time-symmetric microring lasers Hodaei, H.; Miri, M. -A.; Heinrich, M. Science, Vol. 346, Issue 6212 https://doi.org/10.1126/science.1258480	journal	October 2014
Topological photonics Lu, Ling; Joannopoulos, John D.; Soljačić, Marin Nature Photonics, Vol. 8, Issue 11 https://doi.org/10.1038/nphoton.2014.248	journal	October 2014
Dirac Dispersion in Two-Dimensional Photonic Crystals Chan, C. T.; Hang, Zhi Hong; Huang, Xueqin Advances in OptoElectronics, Vol. 2012 https://doi.org/10.1155/2012/313984	journal	January 2012
Parity–time synthetic photonic lattices Regensburger, Alois; Bersch, Christoph; Miri, Mohammad-Ali Nature, Vol. 488, Issue 7410 https://doi.org/10.1038/nature11298	journal	August 2012
Observation of trapped light within the radiation continuum Hsu, Chia Wei; Zhen, Bo; Lee, Jeongwon Nature, Vol. 499, Issue 7457, p. 188-191 https://doi.org/10.1038/nature12289	journal	July 2013
Parity–time-symmetric whispering-gallery microcavities Peng, Bo; Özdemir, Şahin Kaya; Lei, Fuchuan Nature Physics, Vol. 10, Issue 5 https://doi.org/10.1038/nphys2927	journal	April 2014
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Beam Dynamics in $P T$ Symmetric Optical Lattices Makris, K. G.; El-Ganainy, R.; Christodoulides, D. N. Physical Review Letters, Vol. 100, Issue 10 https://doi.org/10.1103/PhysRevLett.100.103904	journal	March 2008
Theoretical Criteria for Scattering Dark States in Nanostructured Particles Hsu, Chia Wei; DeLacy, Brendan G.; Johnson, Steven G. Nano Letters, Vol. 14, Issue 5 https://doi.org/10.1021/nl500340n	journal	April 2014
Temporal coupled-mode theory and the presence of non-orthogonal modes in lossless multimode cavities IEEE Journal of Quantum Electronics, Vol. 40, Issue 10 https://doi.org/10.1109/JQE.2004.834773	journal	October 2004
Dielectric microcavities: Model systems for wave chaos and non-Hermitian physics Cao, Hui; Wiersig, Jan Reviews of Modern Physics, Vol. 87, Issue 1 https://doi.org/10.1103/RevModPhys.87.61	journal	January 2015
Observation and Differentiation of Unique High- $Q$ Optical Resonances Near Zero Wave Vector in Macroscopic Photonic Crystal Slabs Lee, Jeongwon; Zhen, Bo; Chua, Song-Liang Physical Review Letters, Vol. 109, Issue 6, Article No. 067401 https://doi.org/10.1103/PhysRevLett.109.067401	journal	August 2012
Dirac cones induced by accidental degeneracy in photonic crystals and zero-refractive-index materials Huang, Xueqin; Lai, Yun; Hang, Zhi Hong Nature Materials, Vol. 10, Issue 8, p. 582-586 https://doi.org/10.1038/nmat3030	journal	May 2011
Observation of Trapped Light Within the Radiation Continuum Hsu, C. W.; Zhen, B.; Lee, J. Frontiers in Optics 2013 Postdeadline https://doi.org/10.1364/fio.2013.fw6b.7	conference	January 2013
Experimental Observation of the Topological Structure of Exceptional Points Dembowski, C.; Gräf, H. -D.; Harney, H. L. The American Physical Society https://doi.org/10.17877/de290r-12147	text	January 2001
The electronic properties of graphene Neto, A. H. Castro; Guinea, F.; Peres, N. M. R. arXiv https://doi.org/10.48550/arxiv.0709.1163	text	January 2007
PT-symmetry breaking and laser-absorber modes in optical scattering systems Chong, Y. D.; Ge, Li; Stone, A. Douglas arXiv https://doi.org/10.48550/arxiv.1008.5156	text	January 2010
Unidirectional Invisibility induced by PT-Symmetric Periodic Structures Lin, Zin; Ramezani, Hamidreza; Eichelkraut, Toni arXiv https://doi.org/10.48550/arxiv.1108.2493	text	January 2011
Pump-induced Exceptional Points in Lasers Liertzer, M.; Ge, Li; Cerjan, A. arXiv https://doi.org/10.48550/arxiv.1109.0454	text	January 2011
Realization of an all-dielectric zero-index optical metamaterial Moitra, Parikshit; Yang, Yuanmu; Anderson, Zachary arXiv https://doi.org/10.48550/arxiv.1307.4944	text	January 2013
Quantum noise and mode nonorthogonality in non-Hermitian $PT$ -symmetric optical resonators Yoo, Gwangsu; Sim, H. -S.; Schomerus, Henning Physical Review A, Vol. 84, Issue 6 https://doi.org/10.1103/physreva.84.063833	journal	December 2011
Visualization of Branch Points in PT-Symmetric Waveguides Klaiman, Shachar; Moiseyev, Nimrod; Gunther, Uwe arXiv https://doi.org/10.48550/arxiv.0802.2457	text	January 2008
PT-symmetry in honeycomb photonic lattices Szameit, Alexander; Rechtsman, Mikael C.; Bahat-Treidel, Omri arXiv https://doi.org/10.48550/arxiv.1103.3389	text	January 2011
Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice Tarruell, Leticia; Greif, Daniel; Uehlinger, Thomas arXiv https://doi.org/10.48550/arxiv.1111.5020	text	January 2011
PT-symmetric microring lasers: Self-adapting broadband mode-selective resonators Hodaei, Hossein; Miri, Mohammad-Ali; Heinrich, Matthias arXiv https://doi.org/10.48550/arxiv.1405.2103	preprint	January 2014

Cited By (157)

Parity‐Time Symmetry in Non‐Hermitian Complex Optical Media Gupta, Samit Kumar; Zou, Yi; Zhu, Xue‐Yi Advanced Materials https://doi.org/10.1002/adma.201903639	journal	December 2019
Light‐Directed Soft Mass Migration for Micro/Nanophotonics Kim, Kwangjin; Park, Haedong; Park, Kyung Jin Advanced Optical Materials, Vol. 7, Issue 16 https://doi.org/10.1002/adom.201900074	journal	April 2019
Nonreciprocal Transmission in Nonlinear PT‐Symmetric Metamaterials Using Epsilon‐Near‐Zero Media Doped with Defects Jin, Boyuan; Argyropoulos, Christos Advanced Optical Materials, Vol. 7, Issue 23 https://doi.org/10.1002/adom.201901083	journal	September 2019
Topology Optimization of Photonic and Phononic Crystals and Metamaterials: A Review Li, Weibai; Meng, Fei; Chen, Yafeng Advanced Theory and Simulations, Vol. 2, Issue 7 https://doi.org/10.1002/adts.201900017	journal	April 2019
Two-Dimensional Boron Hydride Sheets: High Stability, Massless Dirac Fermions, and Excellent Mechanical Properties Jiao, Yalong; Ma, Fengxian; Bell, John Angewandte Chemie, Vol. 128, Issue 35 https://doi.org/10.1002/ange.201604369	journal	July 2016
Topologically Protected Doubling of Tilted Dirac Fermions in Two Dimensions Kawarabayashi, Tohru; Aoki, Hideo; Hatsugai, Yasuhiro physica status solidi (b), Vol. 256, Issue 6 https://doi.org/10.1002/pssb.201800524	journal	January 2019
Strong absorption near exceptional points in plasmonic waveguide arrays Ke, Shaolin; Liu, Jianxun; Liu, Qingjie Optical and Quantum Electronics, Vol. 50, Issue 8 https://doi.org/10.1007/s11082-018-1584-z	journal	August 2018
Topological gapless matters in three-dimensional ultracold atomic gases Xu, Yong Frontiers of Physics, Vol. 14, Issue 4 https://doi.org/10.1007/s11467-019-0896-1	journal	April 2019
Topological photonic crystals: a review Wang, Hongfei; Gupta, Samit Kumar; Xie, Biye Frontiers of Optoelectronics, Vol. 13, Issue 1 https://doi.org/10.1007/s12200-019-0949-7	journal	January 2020
Topological energy transfer in an optomechanical system with exceptional points Xu, H.; Mason, D.; Jiang, Luyao Nature, Vol. 537, Issue 7618 https://doi.org/10.1038/nature18604	journal	July 2016
Enhanced sensitivity at higher-order exceptional points Hodaei, Hossein; Hassan, Absar U.; Wittek, Steffen Nature, Vol. 548, Issue 7666 https://doi.org/10.1038/nature23280	journal	August 2017
Exceptional points enhance sensing in an optical microcavity Chen, Weijian; Kaya Özdemir, Şahin; Zhao, Guangming Nature, Vol. 548, Issue 7666 https://doi.org/10.1038/nature23281	journal	August 2017
Experimental observation of optical Weyl points and Fermi arc-like surface states Noh, Jiho; Huang, Sheng; Leykam, Daniel Nature Physics, Vol. 13, Issue 6 https://doi.org/10.1038/nphys4072	journal	March 2017
Non-Hermitian physics and PT symmetry El-Ganainy, Ramy; Makris, Konstantinos G.; Khajavikhan, Mercedeh Nature Physics, Vol. 14, Issue 1 https://doi.org/10.1038/nphys4323	journal	January 2018
Dynamically encircling an exceptional point in anti-parity-time symmetric systems: asymmetric mode switching for symmetry-broken modes Zhang, Xu-Lin; Jiang, Tianshu; Chan, C. T. Light: Science & Applications, Vol. 8, Issue 1 https://doi.org/10.1038/s41377-019-0200-8	journal	October 2019
Extracting more light for vertical emission: high power continuous wave operation of 1.3-μm quantum-dot photonic-crystal surface-emitting laser based on a flat band Lu, Huan-Yu; Tian, Si-Cong; Tong, Cun-Zhu Light: Science & Applications, Vol. 8, Issue 1 https://doi.org/10.1038/s41377-019-0214-2	journal	November 2019
Non-Hermitian photonics promises exceptional topology of light Midya, Bikashkali; Zhao, Han; Feng, Liang Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05175-8	journal	July 2018
Robust lasing modes in coupled colloidal quantum dot microdisk pairs using a non-Hermitian exceptional point Lafalce, Evan; Zeng, Qingji; Lin, Chun Hao Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08432-6	journal	February 2019
Optical vector analysis with attometer resolution, 90-dB dynamic range and THz bandwidth Qing, Ting; Li, Shupeng; Tang, Zhenzhou Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13129-x	journal	November 2019
Parity–time symmetry and exceptional points in photonics Özdemir, Ş. K.; Rotter, S.; Nori, F. Nature Materials, Vol. 18, Issue 8 https://doi.org/10.1038/s41563-019-0304-9	journal	April 2019
Non-Hermitian photonics based on parity–time symmetry Feng, Liang; El-Ganainy, Ramy; Ge, Li Nature Photonics, Vol. 11, Issue 12 https://doi.org/10.1038/s41566-017-0031-1	journal	November 2017
Inverse design in nanophotonics Molesky, Sean; Lin, Zin; Piggott, Alexander Y. Nature Photonics, Vol. 12, Issue 11 https://doi.org/10.1038/s41566-018-0246-9	journal	October 2018
Quantum state tomography across the exceptional point in a single dissipative qubit Naghiloo, M.; Abbasi, M.; Joglekar, Yogesh N. Nature Physics, Vol. 15, Issue 12 https://doi.org/10.1038/s41567-019-0652-z	journal	October 2019
Manipulation of Dirac Cones in Mechanical Graphene Kariyado, Toshikaze; Hatsugai, Yasuhiro Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep18107	journal	December 2015
A theoretical insight into a feasible strategy for the fabrication of borophane Qin, Gangqiang; Du, Aijun; Sun, Qiao Physical Chemistry Chemical Physics, Vol. 20, Issue 23 https://doi.org/10.1039/c8cp01407h	journal	January 2018
Quantum capacitance of CuS:Ce ³⁺ quantum dots as high-performing supercapacitor electrodes Chuai, Mingyan; Yang, Tianye; Zhang, Mingzhe Journal of Materials Chemistry A, Vol. 6, Issue 15 https://doi.org/10.1039/c8ta01388h	journal	January 2018
Asymmetric diffraction based on a passive parity-time grating Zhu, Xue-Yi; Xu, Ye-Long; Zou, Yi Applied Physics Letters, Vol. 109, Issue 11 https://doi.org/10.1063/1.4962639	journal	September 2016
The boomerang effect in electron-hydrogen molecule scattering as determined by time-dependent calculations Ben-Asher, Anael; Moiseyev, Nimrod The Journal of Chemical Physics, Vol. 146, Issue 20 https://doi.org/10.1063/1.4983726	journal	May 2017
Metamaterial, plasmonic and nanophotonic devices Monticone, Francesco; Alù, Andrea Reports on Progress in Physics, Vol. 80, Issue 3 https://doi.org/10.1088/1361-6633/aa518f	journal	February 2017
Manipulating the flow of light using Dirac-cone zero-index metamaterials Vulis, Daryl I.; Reshef, Orad; Camayd-Muñoz, Philip Reports on Progress in Physics, Vol. 82, Issue 1 https://doi.org/10.1088/1361-6633/aad3e5	journal	November 2018
Parity–time symmetric photonics Zhao, Han; Feng, Liang National Science Review, Vol. 5, Issue 2 https://doi.org/10.1093/nsr/nwy011	journal	January 2018
Collectively induced exceptional points of quantum emitters coupled to nanoparticle surface plasmons Kuo, Po-Chen; Lambert, Neill; Miranowicz, Adam Physical Review A, Vol. 101, Issue 1 https://doi.org/10.1103/physreva.101.013814	journal	January 2020
State flip at exceptional points in atomic spectra Menke, Henri; Klett, Marcel; Cartarius, Holger Physical Review A, Vol. 93, Issue 1 https://doi.org/10.1103/physreva.93.013401	journal	January 2016
Anomalous parity-time–symmetry transition away from an exceptional point Ge, Li Physical Review A, Vol. 94, Issue 1 https://doi.org/10.1103/physreva.94.013837	journal	July 2016
Exceptional points and symmetry recovery in a two-state system Zhang, Xu-Lin; Wang, Shubo; Chen, Wen-Jie Physical Review A, Vol. 96, Issue 2 https://doi.org/10.1103/physreva.96.022112	journal	August 2017
Cross-polarization mode coupling and exceptional points in photonic crystal slabs Bykov, Dmitry A.; Doskolovich, Leonid L. Physical Review A, Vol. 97, Issue 1 https://doi.org/10.1103/physreva.97.013846	journal	January 2018
Piecewise adiabatic following in non-Hermitian cycling Gong, Jiangbin; Wang, Qing-hai Physical Review A, Vol. 97, Issue 5 https://doi.org/10.1103/physreva.97.052126	journal	May 2018
Invisibility on demand based on a generalized Hilbert transform Hayran, Zeki; Herrero, Ramon; Botey, Muriel Physical Review A, Vol. 98, Issue 1 https://doi.org/10.1103/physreva.98.013822	journal	July 2018
High-order exceptional points in ultracold Bose gases Pan, Lei; Chen, Shu; Cui, Xiaoling Physical Review A, Vol. 99, Issue 1 https://doi.org/10.1103/physreva.99.011601	journal	January 2019
Interplay of non-Hermitian skin effects and Anderson localization in nonreciprocal quasiperiodic lattices Jiang, Hui; Lang, Li-Jun; Yang, Chao Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054301	journal	August 2019
Controlling photonic spin Hall effect via exceptional points Zhou, Xinxing; Lin, Xiao; Xiao, Zhicheng Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115429	journal	September 2019
Inversion symmetric non-Hermitian Chern insulator Wu, H. C.; Jin, L.; Song, Z. Physical Review B, Vol. 100, Issue 15 https://doi.org/10.1103/physrevb.100.155117	journal	October 2019
Exceptional concentric rings in a non-Hermitian bilayer photonic system Wang, Hongfei; Xie, Biye; Gupta, Samit Kumar Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165134	journal	October 2019
$PT$ -symmetric non-Hermitian Dirac semimetals Rui, W. B.; Hirschmann, Moritz M.; Schnyder, Andreas P. Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245116	journal	December 2019
Hybrid exceptional point created from type-III Dirac point Jin, L.; Wu, H. C.; Wei, Bo-Bo Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045130	journal	January 2020
Coalescence of exceptional points and phase diagrams for one-dimensional $P T$ -symmetric photonic crystals Ding, Kun; Zhang, Z. Q.; Chan, C. T. Physical Review B, Vol. 92, Issue 23 https://doi.org/10.1103/physrevb.92.235310	journal	December 2015
Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals Moors, Kristof; Zyuzin, Alexander A.; Zyuzin, Alexander Yu. Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.041116	journal	January 2019
Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries Okugawa, Ryo; Yokoyama, Takehito Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.041202	journal	January 2019
Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence Wang, Huaiqiang; Ruan, Jiawei; Zhang, Haijun Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/physrevb.99.075130	journal	February 2019
Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides Li, Ying; Argyropoulos, Christos Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/physrevb.99.075413	journal	February 2019
Symmetry protected topological phases characterized by isolated exceptional points Lin, S.; Jin, L.; Song, Z. Physical Review B, Vol. 99, Issue 16 https://doi.org/10.1103/physrevb.99.165148	journal	April 2019
Topology and exceptional points of massive Dirac models with generic non-Hermitian perturbations Rui, W. B.; Zhao, Y. X.; Schnyder, Andreas P. Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241110	journal	June 2019
Enhanced Spontaneous Emission at Third-Order Dirac Exceptional Points in Inverse-Designed Photonic Crystals Lin, Zin; Pick, Adi; Lončar, Marko Physical Review Letters, Vol. 117, Issue 10 https://doi.org/10.1103/physrevlett.117.107402	journal	August 2016
Experimental Demonstration of an Anisotropic Exceptional Point Ding, Kun; Ma, Guancong; Zhang, Z. Q. Physical Review Letters, Vol. 121, Issue 8 https://doi.org/10.1103/physrevlett.121.085702	journal	August 2018
Simultaneous Observation of a Topological Edge State and Exceptional Point in an Open and Non-Hermitian Acoustic System Zhu, Weiwei; Fang, Xinsheng; Li, Dongting Physical Review Letters, Vol. 121, Issue 12 https://doi.org/10.1103/physrevlett.121.124501	journal	September 2018
Topological Phase Transition Driven by Infinitesimal Instability: Majorana Fermions in Non-Hermitian Spintronics Okuma, Nobuyuki; Sato, Masatoshi Physical Review Letters, Vol. 123, Issue 9 https://doi.org/10.1103/physrevlett.123.097701	journal	August 2019
Experimental Observation of an Exceptional Surface in Synthetic Dimensions with Magnon Polaritons Zhang, Xufeng; Ding, Kun; Zhou, Xianjing Physical Review Letters, Vol. 123, Issue 23 https://doi.org/10.1103/physrevlett.123.237202	journal	December 2019
Reservoir-Mediated Quantum Correlations in Non-Hermitian Optical System Cao, Wanxia; Lu, Xingda; Meng, Xin Physical Review Letters, Vol. 124, Issue 3 https://doi.org/10.1103/physrevlett.124.030401	journal	January 2020
Transition from Dirac points to exceptional points in anisotropic waveguides Gomis-Bresco, Jordi; Artigas, David; Torner, Lluis Physical Review Research, Vol. 1, Issue 3 https://doi.org/10.1103/physrevresearch.1.033010	journal	October 2019
Observation of bulk Fermi arc and polarization half charge from paired exceptional points Zhou, Hengyun; Peng, Chao; Yoon, Yoseob Science, Vol. 359, Issue 6379 https://doi.org/10.1126/science.aap9859	journal	January 2018
Exceptional points in optics and photonics Miri, Mohammad-Ali; Alù, Andrea Science, Vol. 363, Issue 6422 https://doi.org/10.1126/science.aar7709	journal	January 2019
Topological states of non-Hermitian systems Martinez Alvarez, V. M.; Barrios Vargas, J. E.; Berdakin, M. The European Physical Journal Special Topics, Vol. 227, Issue 12 https://doi.org/10.1140/epjst/e2018-800091-5	journal	October 2018
Symmetry-engineered waveguide dispersion in $ {\cal P}{\cal T} $PT symmetric photonic crystal waveguides Mock, Adam Journal of the Optical Society of America B, Vol. 37, Issue 1 https://doi.org/10.1364/josab.37.000168	journal	December 2019
Spawning a ring of exceptional points from a metamaterial Kang, Ming; Zhu, Weiren; Wang, Hui-Tian Optics Express, Vol. 25, Issue 15 https://doi.org/10.1364/oe.25.018265	journal	January 2017
Photonic crystals for controlling strong coupling in van der Waals materials Gogna, Rahul; Zhang, Long; Wang, Zhaorong Optics Express, Vol. 27, Issue 16 https://doi.org/10.1364/oe.27.022700	journal	January 2019
Exceptional points and photonic catastrophe Longhi, S. Optics Letters, Vol. 43, Issue 12 https://doi.org/10.1364/ol.43.002929	journal	January 2018
Chiral dynamics of exceptional points in weakly absorbing biaxial crystal Samlan, C. T.; Viswanathan, Nirmal K. Optics Letters, Vol. 43, Issue 15 https://doi.org/10.1364/ol.43.003538	journal	January 2018
Exceptional surfaces in PT-symmetric non-Hermitian photonic systems Zhou, Hengyun; Lee, Jong Yeon; Liu, Shang Optica, Vol. 6, Issue 2 https://doi.org/10.1364/optica.6.000190	journal	January 2019
Non-Hermitian lattices with a flat band and polynomial power increase [Invited] Ge, Li Photonics Research, Vol. 6, Issue 4 https://doi.org/10.1364/prj.6.000a10	journal	January 2018
Two-Dimensional Boron Hydride Sheets: High Stability, Massless Dirac Fermions, and Excellent Mechanical Properties Jiao, Yalong; Ma, Fengxian; Bell, John Angewandte Chemie International Edition, Vol. 55, Issue 35 https://doi.org/10.1002/anie.201604369	journal	July 2016
Topologically Protected Doubling of Tilted Dirac Fermions in Two Dimensions Kawarabayashi, Tohru; Aoki, Hideo; Hatsugai, Yasuhiro physica status solidi (b), Vol. 256, Issue 6 https://doi.org/10.1002/pssb.201970025	journal	February 2019
Direct observation of exceptional points in coupled photonic-crystal lasers with asymmetric optical gains Kim, Kyoung-Ho; Hwang, Min-Soo; Kim, Ha-Reem Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13893	journal	December 2016
Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics Kawabata, Kohei; Higashikawa, Sho; Gong, Zongping Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08254-y	journal	January 2019
Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators Wang, Shubo; Hou, Bo; Lu, Weixin Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08826-6	journal	February 2019
Continuous transition between weak and ultrastrong coupling through exceptional points in carbon nanotube microcavity exciton–polaritons Gao, Weilu; Li, Xinwei; Bamba, Motoaki Nature Photonics, Vol. 12, Issue 6 https://doi.org/10.1038/s41566-018-0157-9	journal	April 2018
Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy Avila, J.; Peñaranda, F.; Prada, E. Communications Physics, Vol. 2, Issue 1 https://doi.org/10.1038/s42005-019-0231-8	journal	October 2019
Temperature-controlled tunable underwater acoustic topological insulators Dai, Hongqing; Xia, Baizhan; Yu, Dejie Journal of Applied Physics, Vol. 125, Issue 23 https://doi.org/10.1063/1.5090789	journal	June 2019
Tamm plasmon photonic crystals: From bandgap engineering to defect cavity Ferrier, Lydie; Nguyen, Hai Son; Jamois, Cécile APL Photonics, Vol. 4, Issue 10 https://doi.org/10.1063/1.5104334	journal	October 2019
Chiral modes and directional lasing at exceptional points Peng, Bo; Özdemir, Şahin Kaya; Liertzer, Matthias Proceedings of the National Academy of Sciences, Vol. 113, Issue 25 https://doi.org/10.1073/pnas.1603318113	journal	June 2016
Energy landscape and conical intersection points of the driven Rabi model Batchelor, Murray T.; Li, Zi-Min; Zhou, Huan-Qiang Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 1 https://doi.org/10.1088/1751-8113/49/1/01lt01	journal	November 2015
Unique band coalescence and exceptional points from two-dimensional photonic crystal waveguide Fang, Yun-Tuan; Ye, Si-Fang; Li, Xiao-Xue Journal of Optics, Vol. 21, Issue 5 https://doi.org/10.1088/2040-8986/ab0f8d	journal	April 2019
Quantum critical behavior influenced by measurement backaction in ultracold gases Ashida, Yuto; Furukawa, Shunsuke; Ueda, Masahito Physical Review A, Vol. 94, Issue 5 https://doi.org/10.1103/physreva.94.053615	journal	November 2016
Non-Hermiticity-induced flat band Ramezani, Hamidreza Physical Review A, Vol. 96, Issue 1 https://doi.org/10.1103/physreva.96.011802	journal	July 2017
Large Sagnac frequency splitting in a ring resonator operating at an exceptional point Sunada, Satoshi Physical Review A, Vol. 96, Issue 3 https://doi.org/10.1103/physreva.96.033842	journal	September 2017
Symmetry-protected localized states at defects in non-Hermitian systems Wu, Ya-Jie; Hou, Junpeng Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/physreva.99.062107	journal	June 2019
Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling Wang, P.; Jin, L.; Song, Z. Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/physreva.99.062112	journal	June 2019
Generalized bulk-edge correspondence for non-Hermitian topological systems Imura, Ken-Ichiro; Takane, Yositake Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165430	journal	October 2019
Photonic emulation of two-dimensional materials with antiferromagnetic order Gladstone, Ran Gladstein; Jung, Minwoo; Han, Yuchen Physical Review B, Vol. 100, Issue 24 https://doi.org/10.1103/physrevb.100.245417	journal	December 2019
Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges Cerjan, Alexander; Xiao, Meng; Yuan, Luqi Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075128	journal	February 2018
Symmetry-protected exceptional rings in two-dimensional correlated systems with chiral symmetry Yoshida, Tsuneya; Peters, Robert; Kawakami, Norio Physical Review B, Vol. 99, Issue 12 https://doi.org/10.1103/physrevb.99.121101	journal	March 2019
Anisotropic exceptional points of arbitrary order Xiao, Yi-Xin; Zhang, Zhao-Qing; Hang, Zhi Hong Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.241403	journal	June 2019
Incident Direction Independent Wave Propagation and Unidirectional Lasing Jin, L.; Song, Z. Physical Review Letters, Vol. 121, Issue 7 https://doi.org/10.1103/physrevlett.121.073901	journal	August 2018
Hybrid Higher-Order Skin-Topological Modes in Nonreciprocal Systems Lee, Ching Hua; Li, Linhu; Gong, Jiangbin Physical Review Letters, Vol. 123, Issue 1 https://doi.org/10.1103/physrevlett.123.016805	journal	July 2019
Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems Song, Fei; Yao, Shunyu; Wang, Zhong Physical Review Letters, Vol. 123, Issue 17 https://doi.org/10.1103/PhysRevLett.123.170401	journal	October 2019
Quantum Noise Theory of Exceptional Point Amplifying Sensors Zhang, Mengzhen; Sweeney, William; Hsu, Chia Wei Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/PhysRevLett.123.180501	journal	October 2019
Non-Hermitian Topological Invariants in Real Space Song, Fei; Yao, Shunyu; Wang, Zhong Physical Review Letters, Vol. 123, Issue 24 https://doi.org/10.1103/PhysRevLett.123.246801	journal	December 2019
Direct imaging of isofrequency contours in photonic structures Regan, Emma C.; Igarashi, Yuichi; Zhen, Bo Science Advances, Vol. 2, Issue 11 https://doi.org/10.1126/sciadv.1601591	journal	November 2016
Exceptional points for resonant states on parallel circular dielectric cylinders Abdrabou, Amgad; Lu, Ya Yan Journal of the Optical Society of America B, Vol. 36, Issue 6 https://doi.org/10.1364/josab.36.001659	journal	January 2019
On-chip all-dielectric fabrication-tolerant zero-index metamaterials Kita, Shota; Li, Yang; Camayd-Muñoz, Philip Optics Express, Vol. 25, Issue 7 https://doi.org/10.1364/OE.25.008326	journal	January 2017
General theory of spontaneous emission near exceptional points Pick, Adi; Zhen, Bo; Miller, Owen D. Optics Express, Vol. 25, Issue 11 https://doi.org/10.1364/OE.25.012325	journal	January 2017
Non-PT-symmetric two-layer cylindrical waveguide for exceptional-point-enhanced optical devices Huang, Yin; Shen, Yuecheng; Veronis, Georgios Optics Express, Vol. 27, Issue 26 https://doi.org/10.1364/oe.27.037494	journal	January 2019
Dark-state lasers: mode management using exceptional points Hodaei, H.; Hassan, A. U.; Hayenga, W. E. Optics Letters, Vol. 41, Issue 13 https://doi.org/10.1364/OL.41.003049	journal	January 2016
Light-emitting metasurfaces Vaskin, Aleksandr; Kolkowski, Radoslaw; Koenderink, A. Femius Nanophotonics, Vol. 8, Issue 7 https://doi.org/10.1515/nanoph-2019-0110	journal	July 2019
Active topological photonics Ota, Yasutomo; Takata, Kenta; Ozawa, Tomoki Nanophotonics, Vol. 9, Issue 3 https://doi.org/10.1515/nanoph-2019-0376	journal	January 2020
Parity-time-symmetric quantum critical phenomena Ashida, Yuto; Furukawa, Shunsuke; Ueda, Masahito Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15791	journal	June 2017
Generalized Fano lineshapes reveal exceptional points in photonic molecules Caselli, Niccolò; Intonti, Francesca; La China, Federico Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-02855-3	journal	January 2018
Optical lattices with higher-order exceptional points by non-Hermitian coupling Zhou, Xingping; Gupta, Samit Kumar; Huang, Zhong Applied Physics Letters, Vol. 113, Issue 10 https://doi.org/10.1063/1.5043279	journal	September 2018
Angle-Resolved Thermal Emission Spectroscopy Characterization of Non-Hermitian Metacrystals Zhong, Fan; Ding, Kun; Zhang, Ye Physical Review Applied, Vol. 13, Issue 1 https://doi.org/10.1103/physrevapplied.13.014071	journal	January 2020
Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas Xu, Yong; Wang, Sheng-Tao; Duan, L. -M. Physical Review Letters, Vol. 118, Issue 4 https://doi.org/10.1103/physrevlett.118.045701	journal	January 2017
Dynamically Encircling Exceptional Points: Exact Evolution and Polarization State Conversion Hassan, Absar U.; Zhen, Bo; Soljačić, Marin Physical Review Letters, Vol. 118, Issue 9 https://doi.org/10.1103/physrevlett.118.093002	journal	March 2017
Tuning the Effective $P T$ Phase of Plasmonic Eigenmodes Tuniz, Alessandro; Wieduwilt, Torsten; Schmidt, Markus A. Physical Review Letters, Vol. 123, Issue 21 https://doi.org/10.1103/physrevlett.123.213903	journal	November 2019
Nonconservative Coupling in a Passive Silicon Microring Resonator Du, H.; Zhang, X.; Littlejohns, C. G. Physical Review Letters, Vol. 124, Issue 1 https://doi.org/10.1103/physrevlett.124.013606	journal	January 2020
Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point Zhang, Xu-Lin; Wang, Shubo; Hou, Bo Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/physrevx.8.021066	journal	June 2018
Exceptional cones in 4D parameter space Wang, Qiang; Ding, Kun; Liu, Hui Optics Express, Vol. 28, Issue 2 https://doi.org/10.1364/oe.381700	journal	January 2020
Realization of complex conjugate media using non-PT-symmetric photonic crystals Cui, Xiaohan; Ding, Kun; Dong, Jian-Wen Nanophotonics, Vol. 9, Issue 1 https://doi.org/10.1515/nanoph-2019-0389	journal	December 2019
How to Compute Spectra with Error Control. Colbrook, Matthew; Roman, Bogdan; Hansen, Anders Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.42920	text	January 2019
PT symmetry in a fractional Schrödinger equation: PT symmetry in a fractional Schrödinger equation Zhang, Yiqi; Zhong, Hua; Belić, Milivoj R. Laser & Photonics Reviews, Vol. 10, Issue 3 https://doi.org/10.1002/lpor.201600037	journal	April 2016
Majorana bound states from exceptional points in non-topological superconductors San-Jose, Pablo; Cayao, Jorge; Prada, Elsa Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep21427	journal	February 2016
Chiral-symmetry protected exceptional torus in correlated nodal-line semimetals Kimura, Kazuhiro; Yoshida, Tsuneya; Kawakami, Norio Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115124	journal	September 2019
How to Compute Spectra with Error Control Colbrook, Matthew J.; Roman, Bogdan; Hansen, Anders C. Physical Review Letters, Vol. 122, Issue 25 https://doi.org/10.1103/physrevlett.122.250201	journal	June 2019
Effects of non-Hermitian perturbations on Weyl Hamiltonians with arbitrary topological charges Cerjan, Alexander; Xiao, Meng; Yuan, Luqi CLEO: QELS_Fundamental Science, Conference on Lasers and Electro-Optics https://doi.org/10.1364/cleo_qels.2018.fm2q.4	conference	January 2018
Non-Hermitian optics in atomic systems Zhang, Zhaoyang; Ma, Danmeng; Sheng, Jiteng Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 7 https://doi.org/10.1088/1361-6455/aaaf9f	journal	March 2018
Exceptional rings protected by emergent symmetry for mechanical systems Yoshida, Tsuneya; Hatsugai, Yasuhiro Physical Review B, Vol. 100, Issue 5 https://doi.org/10.1103/physrevb.100.054109	journal	August 2019
Non-Hermitian systems and topology: A transfer-matrix perspective Kunst, Flore K.; Dwivedi, Vatsal Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.245116	journal	June 2019
Demonstration of a two-dimensional $${\cal P}{\cal T}$$ P T -symmetric crystal Kremer, Mark; Biesenthal, Tobias; Maczewsky, Lukas J. Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-018-08104-x	journal	January 2019
Parity-time symmetry in periodically curved optical waveguides Zhang, Yan-Rong; Zhang, Ze-Zheng; Yuan, Jia-Qi Optics Express, Vol. 26, Issue 21 https://doi.org/10.1364/oe.26.027141	journal	January 2018
Majorana bound states from exceptional points in non-topological superconductors San-Jose, Pablo; Cayao, Jorge; Prada, Elsa arXiv https://doi.org/10.48550/arxiv.1409.7306	text	January 2014
The emergence, coalescence and topological properties of multiple exceptional points and their experimental realization Ding, Kun; Ma, Guancong; Xiao, Meng arXiv https://doi.org/10.48550/arxiv.1509.06886	text	January 2015
Anomalous edge state in a non-Hermitian lattice Lee, Tony E. arXiv https://doi.org/10.48550/arxiv.1603.05312	text	January 2016
General Theory of Spontaneous Emission Near Exceptional Points Pick, Adi; Zhen, Bo; Miller, Owen D. arXiv https://doi.org/10.48550/arxiv.1604.06478	text	January 2016
On-chip all-dielectric fabrication-tolerant zero-index metamaterials Kita, Shota; Li, Yang; Muñoz, Philip arXiv https://doi.org/10.48550/arxiv.1608.05488	text	January 2016
Dynamically encircling exceptional points: Exact evolution and polarization state conversion Hassan, Absar U.; Zhen, Bo; Soljacic, Marin arXiv https://doi.org/10.48550/arxiv.1706.09938	text	January 2017
Photonic Topological Insulating Phase Induced Solely by Gain and Loss Takata, Kenta; Notomi, Masaya arXiv https://doi.org/10.48550/arxiv.1710.09169	text	January 2017
Symmetry protected topological phases characterized by isolated exceptional points Lin, S.; Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1712.03814	text	January 2017
Parity-Time Symmetry in Non-Hermitian Complex Optical Media Gupta, Samit Kumar; Zou, Yi; Zhu, Xue-Yi arXiv https://doi.org/10.48550/arxiv.1803.00794	text	January 2018
Arbitrary order exceptional point induced by photonic spin-orbit interaction in coupled resonators Wang, Shubo; Hou, Bo; Lu, Weixin arXiv https://doi.org/10.48550/arxiv.1810.00581	text	January 2018
Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries Okugawa, Ryo; Yokoyama, Takehito arXiv https://doi.org/10.48550/arxiv.1810.03376	text	January 2018
Exceptional points and spectral singularities in active epsilon-near-zero plasmonic waveguides Li, Ying; Argyropoulos, Christos arXiv https://doi.org/10.48550/arxiv.1812.04997	text	January 2018
Symmetry and Topology in Non-Hermitian Physics Kawabata, Kohei; Shiozaki, Ken; Ueda, Masahito arXiv https://doi.org/10.48550/arxiv.1812.09133	text	January 2018
Quantum state tomography across the exceptional point in a single dissipative qubit Naghiloo, M.; Abbasi, M.; Joglekar, Yogesh N. arXiv https://doi.org/10.48550/arxiv.1901.07968	text	January 2019
Classification of Exceptional Points and Non-Hermitian Topological Semimetals Kawabata, Kohei; Bessho, Takumi; Sato, Masatoshi arXiv https://doi.org/10.48550/arxiv.1902.08479	text	January 2019
Non-Hermitian skin effect and chiral damping in open quantum systems Song, Fei; Yao, Shunyu; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1904.08432	text	January 2019
Exceptional rings protected by emergent symmetry for mechanical systems Yoshida, Tsuneya; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1904.10764	text	January 2019
Non-Hermitian Topological Invariants in Real Space Song, Fei; Yao, Shunyu; Wang, Zhong arXiv https://doi.org/10.48550/arxiv.1905.02211	text	January 2019
Topological Phase Transition Independent of System Non-Hermiticity Zhang, K. L.; Wu, H. C.; Jin, L. arXiv https://doi.org/10.48550/arxiv.1905.07548	text	January 2019
Inversion symmetric non-Hermitian Chern insulator Wu, H. C.; Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1905.11576	text	January 2019
Non-Hermitian phase transition and eigenstate localization induced by asymmetric coupling Wang, P.; Jin, L.; Song, Z. arXiv https://doi.org/10.48550/arxiv.1906.00610	text	January 2019
Nonreciprocal Transmission in Nonlinear PT-Symmetric Metamaterials Using Epsilon-near-Zero Media Doped with Defects Jin, Boyuan; Argyropoulos, Christos arXiv https://doi.org/10.48550/arxiv.1907.13164	text	January 2019
Realization of complex conjugate media using non-PT-symmetric photonic crystals Cui, Xiaohan; Ding, Kun; Dong, Jianwen arXiv https://doi.org/10.48550/arxiv.1908.04492	text	January 2019
Generalized bulk-edge correspondence for non-hermitian topological systems Imura, Ken-Ichiro; Takane, Yositake arXiv https://doi.org/10.48550/arxiv.1908.09438	text	January 2019
Statistical parity-time-symmetric lasing in an optical fibre network Jahromi, Ali K.; Hassan, Absar U.; Christodoulides, Demetrios N. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00958-x	journal	November 2017
Crossing exceptional points without phase transition Zhong, Qi; El-Ganainy, Ramy Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-018-36701-9	journal	January 2019
Acceleration toward polarization singularity inspired by relativistic E×B drift Yu, Sunkyu; Piao, Xianji; Park, Namkyoo Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep37754	journal	November 2016
Supersymmetrical bounding of asymmetric states and quantum phase transitions by anti-crossing of symmetric states Afzal, Muhammad Imran; Lee, Yong Tak Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep39016	journal	December 2016
Manipulation of Dirac Cones in Mechanical Graphene Kariyado, Toshikaze; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1505.06679	text	January 2015
Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics Kawabata, Kohei; Higashikawa, Sho; Gong, Zongping arXiv https://doi.org/10.48550/arxiv.1804.04676	text	January 2018
Optical vector analysis with attometer resolution, 90-dB dynamic range and THz bandwidth Qing, Ting; Li, Shupeng; Tang, Zhenzhou arXiv https://doi.org/10.48550/arxiv.1902.06055	text	January 2019

Similar Records

Exceptional points in classical spin dynamics

Journal Article · Mon Nov 25 00:00:00 EST 2019 · Scientific Reports · OSTI ID:1371039

Galda, Alexey; Vinokur, Valerii M.

Pseudospin-1 Physics of Photonic Crystals

Journal Article · Mon Apr 08 00:00:00 EDT 2019 · Research · OSTI ID:1371039

Fang, A.; Zhang, Z. Q.; Louie, Steven G.; +1 more

Observation of bulk Fermi arc and polarization half charge from paired exceptional points

Journal Article · Thu Jan 11 00:00:00 EST 2018 · Science · OSTI ID:1371039

Zhou, Hengyun; Peng, Chao; Yoon, Yoseob; +6 more

Related Subjects

14 SOLAR ENERGY
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
solar (photovoltaic)
solar (thermal)
solid state lighting
phonons
thermal conductivity
thermoelectric
defects
mechanical behavior
charge transport
spin dynamics
materials and chemistry by design
optics
synthesis (novel materials)
synthesis (self-assembly)
synthesis (scalable processing)

Title: Spawning rings of exceptional points out of Dirac cones

Citation Formats

References (39)

Cited By (157)

Similar Records

Related Subjects