Topological nodal line semimetals with and without spin-orbital coupling

Fang, Chen; Chen, Yige; Kee, Hae -Young; Fu, Liang

doi:10.1103/physrevb.92.081201

Topological nodal line semimetals with and without spin-orbital coupling

Journal Article · Mon Aug 10 00:00:00 EDT 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/physrevb.92.081201· OSTI ID:1505795

Fang, Chen ^[1]; Chen, Yige ^[2]; Kee, Hae -Young ^[2]; Fu, Liang ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
Univ. of Toronto, Toronto, ON (Canada); Canadian Inst. for Advanced Research/Quantum Materials Program, Toronto, ON (Canada)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Here, we theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared to TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the valence bands touch at discrete points, in these TSMs the two bands cross at closed lines in the Brillouin zone. We propose two different classes of symmetry protected nodal lines in the absence and in the presence of spin-orbital coupling (SOC), respectively. In the former, we discuss nodal lines that are protected by a combination of inversion symmetry and time-reversal symmetry, yet, unlike previously studied nodal lines in the same symmetry class, each nodal line has a Z₂ monopole charge and can only be created (annihilated) in pairs. In the second class, with SOC, we show that a nonsymmorphic symmetry (screw axis) protects a four-band crossing nodal line in systems having both inversion and time-reversal symmetries.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001299

OSTI ID:: 1505795

Alternate ID(s):: OSTI ID: 1209840

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 8 Vol. 92; ISSN 1098-0121; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Coexistence of spin semimetal and Weyl semimetal behavior in FeRhCrGe Venkateswara, Y.; Samatham, S. Shanmukharao; Babu, P. D. Physical Review B, Vol. 100, Issue 18 https://doi.org/10.1103/physrevb.100.180404	journal	November 2019
Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time-reversal symmetry Bouhon, Adrien; Black-Schaffer, Annica M.; Slager, Robert-Jan Physical Review B, Vol. 100, Issue 19 https://doi.org/10.1103/physrevb.100.195135	journal	November 2019
Diagnosis of topological nodal lines with nontrivial monopole charge in the presence of rotation symmetries Li, Heqiu; Fang, Chen; Sun, Kai Physical Review B, Vol. 100, Issue 19 https://doi.org/10.1103/physrevb.100.195308	journal	November 2019
Fragile topology protected by inversion symmetry: Diagnosis, bulk-boundary correspondence, and Wilson loop Hwang, Yoonseok; Ahn, Junyeong; Yang, Bohm-Jung Physical Review B, Vol. 100, Issue 20 https://doi.org/10.1103/physrevb.100.205126	journal	November 2019
Saddle-point Van Hove singularity and dual topological state in Pt 2 HgSe 3 Ghosh, Barun; Mardanya, Sougata; Singh, Bahadur Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235101	journal	December 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
Plateaus of quantized conductance with high steps in topological nodal-line semimetals Yang, Ning-Xuan; Hou, Zhe; Sun, Qing-Feng Physical Review B, Vol. 101, Issue 3 https://doi.org/10.1103/physrevb.101.035418	journal	January 2020
Chiral spin liquids with crystalline Z 2 gauge order in a three-dimensional Kitaev model Mishchenko, Petr A.; Kato, Yasuyuki; O'Brien, Kevin Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045118	journal	January 2020
Weyl and Dirac loop superconductors Nandkishore, Rahul Physical Review B, Vol. 93, Issue 2 https://doi.org/10.1103/physrevb.93.020506	journal	January 2016
Magnetic susceptibility in three-dimensional nodal semimetals Koshino, Mikito; Hizbullah, Intan Fatimah Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/physrevb.93.045201	journal	January 2016
Node-surface and node-line fermions from nonsymmorphic lattice symmetries Liang, Qi-Feng; Zhou, Jian; Yu, Rui Physical Review B, Vol. 93, Issue 8 https://doi.org/10.1103/physrevb.93.085427	journal	February 2016
Topological crystalline semimetals in nonsymmorphic lattices Chen, Yige; Kim, Heung-Sik; Kee, Hae-Young Physical Review B, Vol. 93, Issue 15 https://doi.org/10.1103/physrevb.93.155140	journal	April 2016
Classification of stable Dirac and Weyl semimetals with reflection and rotational symmetry Gao, Zihao; Hua, Meng; Zhang, Haijun Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/physrevb.93.205109	journal	May 2016
Ca 3 P 2 and other topological semimetals with line nodes and drumhead surface states Chan, Y. -H.; Chiu, Ching-Kai; Chou, M. Y. Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/physrevb.93.205132	journal	May 2016
Tunable point nodes from line-node semimetals via application of light Narayan, Awadhesh Physical Review B, Vol. 94, Issue 4 https://doi.org/10.1103/physrevb.94.041409	journal	July 2016
Type-II Weyl cone transitions in driven semimetals Chan, Ching-Kit; Oh, Yun-Tak; Han, Jung Hoon Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/physrevb.94.121106	journal	September 2016
Dirac-node arc in the topological line-node semimetal HfSiS Takane, D.; Wang, Zhiwei; Souma, S. Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/physrevb.94.121108	journal	September 2016
Chemical potential asymmetry and quantum oscillations in insulators Pal, Hridis K.; Piéchon, Frédéric; Fuchs, Jean-Noël Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/physrevb.94.125140	journal	September 2016
Topologically stable gapless phases in nonsymmorphic superconductors Kobayashi, Shingo; Yanase, Youichi; Sato, Masatoshi Physical Review B, Vol. 94, Issue 13 https://doi.org/10.1103/physrevb.94.134512	journal	October 2016
Spin-orbit semimetals in the layer groups Wieder, Benjamin J.; Kane, C. L. Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/physrevb.94.155108	journal	October 2016
Photovoltaic anomalous Hall effect in line-node semimetals Taguchi, Katsuhisa; Xu, Dong-Hui; Yamakage, Ai Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/physrevb.94.155206	journal	October 2016
Topological node-line semimetal in compressed black phosphorus Zhao, Jianzhou; Yu, Rui; Weng, Hongming Physical Review B, Vol. 94, Issue 19 https://doi.org/10.1103/physrevb.94.195104	journal	November 2016
Magnetic susceptibility of topological nodal semimetals Mikitik, G. P.; Sharlai, Yu. V. Physical Review B, Vol. 94, Issue 19 https://doi.org/10.1103/physrevb.94.195123	journal	November 2016
Bulk-boundary correspondence from the intercellular Zak phase Rhim, Jun-Won; Behrends, Jan; Bardarson, Jens H. Physical Review B, Vol. 95, Issue 3 https://doi.org/10.1103/physrevb.95.035421	journal	January 2017
Topological nodal line semimetals in the CaP 3 family of materials Xu, Qiunan; Yu, Rui; Fang, Zhong Physical Review B, Vol. 95, Issue 4 https://doi.org/10.1103/physrevb.95.045136	journal	January 2017
Quasitopological electromagnetic response of line-node semimetals Ramamurthy, Srinidhi T.; Hughes, Taylor L. Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/physrevb.95.075138	journal	February 2017
Chiral anomaly factory: Creating Weyl fermions with a magnetic field Cano, Jennifer; Bradlyn, Barry; Wang, Zhijun Physical Review B, Vol. 95, Issue 16 https://doi.org/10.1103/physrevb.95.161306	journal	April 2017
Transport and optics at the node in a nodal loop semimetal Mukherjee, S. P.; Carbotte, J. P. Physical Review B, Vol. 95, Issue 21 https://doi.org/10.1103/physrevb.95.214203	journal	June 2017
Dirac nodal lines and induced spin Hall effect in metallic rutile oxides Sun, Yan; Zhang, Yang; Liu, Chao-Xing Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/physrevb.95.235104	journal	June 2017
Nodal-line entanglement entropy: Generalized Widom formula from entanglement Hamiltonians Pretko, Michael Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/physrevb.95.235111	journal	June 2017
Coexistence of four-band nodal rings and triply degenerate nodal points in centrosymmetric metal diborides Zhang, Xiaoming; Yu, Zhi-Ming; Sheng, Xian-Lei Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/physrevb.95.235116	journal	June 2017
Two-dimensional topological nodal line semimetal in layered X 2 Y ( X = Ca , Sr, and Ba; Y = As , Sb, and Bi) Niu, Chengwang; Buhl, Patrick M.; Bihlmayer, Gustav Physical Review B, Vol. 95, Issue 23 https://doi.org/10.1103/physrevb.95.235138	journal	June 2017
Crossing-line-node semimetals: General theory and application to rare-earth trihydrides Kobayashi, Shingo; Yamakawa, Youichi; Yamakage, Ai Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/physrevb.95.245208	journal	June 2017
Topological semimetals with a double-helix nodal link Chen, Wei; Lu, Hai-Zhou; Hou, Jing-Min Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/physrevb.96.041102	journal	July 2017
Nodal-link semimetals Yan, Zhongbo; Bi, Ren; Shen, Huitao Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/physrevb.96.041103	journal	July 2017
Topological semimetals carrying arbitrary Hopf numbers: Fermi surface topologies of a Hopf link, Solomon's knot, trefoil knot, and other linked nodal varieties Ezawa, Motohiko Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/physrevb.96.041202	journal	July 2017
Nearly massless Dirac fermions and strong Zeeman splitting in the nodal-line semimetal ZrSiS probed by de Haas–van Alphen quantum oscillations Hu, Jin; Tang, Zhijie; Liu, Jinyu Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/physrevb.96.045127	journal	July 2017
Hourglass semimetals with nonsymmorphic symmetries in three dimensions Wang, Luyang; Jian, Shao-Kai; Yao, Hong Physical Review B, Vol. 96, Issue 7 https://doi.org/10.1103/physrevb.96.075110	journal	August 2017
Antiferromagnetic topological nodal line semimetals Wang, Jing Physical Review B, Vol. 96, Issue 8 https://doi.org/10.1103/physrevb.96.081107	journal	August 2017
Weyl-link semimetals Chang, Po-Yao; Yee, Chuck-Hou Physical Review B, Vol. 96, Issue 8 https://doi.org/10.1103/physrevb.96.081114	journal	August 2017
Universal phase transition and band structures for spinless nodal-line and Weyl semimetals Okugawa, Ryo; Murakami, Shuichi Physical Review B, Vol. 96, Issue 11 https://doi.org/10.1103/physrevb.96.115201	journal	September 2017
Numerical study of universal conductance fluctuations in three-dimensional topological semimetals Hu, Yayun; Liu, Haiwen; Jiang, Hua Physical Review B, Vol. 96, Issue 13 https://doi.org/10.1103/physrevb.96.134201	journal	October 2017
Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems Bzdušek, Tomáš; Sigrist, Manfred Physical Review B, Vol. 96, Issue 15 https://doi.org/10.1103/physrevb.96.155105	journal	October 2017
ARPES studies of the inverse perovskite Ca 3 PbO : Experimental confirmation of a candidate 3D Dirac fermion system Obata, Yukiko; Yukawa, Ryu; Horiba, Koji Physical Review B, Vol. 96, Issue 15 https://doi.org/10.1103/physrevb.96.155109	journal	October 2017
Spinless hourglass nodal-line semimetals Takahashi, Ryo; Hirayama, Motoaki; Murakami, Shuichi Physical Review B, Vol. 96, Issue 15 https://doi.org/10.1103/physrevb.96.155206	journal	October 2017
Topological surface electronic states in candidate nodal-line semimetal CaAgAs Wang, Xiao-Bo; Ma, Xiao-Ming; Emmanouilidou, Eve Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/physrevb.96.161112	journal	October 2017
Nodal-knot semimetals Bi, Ren; Yan, Zhongbo; Lu, Ling Physical Review B, Vol. 96, Issue 20 https://doi.org/10.1103/physrevb.96.201305	journal	November 2017
Emergence of topological nodal lines and type-II Weyl nodes in the strong spin-orbit coupling system InNb X 2 ( X = S ,Se) Du, Yongping; Bo, Xiangyan; Wang, Di Physical Review B, Vol. 96, Issue 23 https://doi.org/10.1103/physrevb.96.235152	journal	December 2017
Nodal-line semimetals from Weyl superlattices Behrends, Jan; Rhim, Jun-Won; Liu, Shang Physical Review B, Vol. 96, Issue 24 https://doi.org/10.1103/physrevb.96.245101	journal	December 2017
Band connectivity for topological quantum chemistry: Band structures as a graph theory problem Bradlyn, Barry; Elcoro, L.; Vergniory, M. G. Physical Review B, Vol. 97, Issue 3 https://doi.org/10.1103/physrevb.97.035138	journal	January 2018
Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer X 3 SiTe 6 ( X = Ta, Nb) Li, Si; Liu, Ying; Wang, Shan-Shan Physical Review B, Vol. 97, Issue 4 https://doi.org/10.1103/physrevb.97.045131	journal	January 2018
Weyl nodal surfaces Türker, Oğuz; Moroz, Sergej Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075120	journal	February 2018
Saddle-like topological surface states on the T T ′ X family of compounds ( T , T ′ = Transition metal, X = Si , Ge) Singh, Bahadur; Zhou, Xiaoting; Lin, Hsin Physical Review B, Vol. 97, Issue 7 https://doi.org/10.1103/physrevb.97.075125	journal	February 2018
Hybrid nodal loop metal: Unconventional magnetoresponse and material realization Zhang, Xiaoming; Yu, Zhi-Ming; Lu, Yunhao Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/physrevb.97.125143	journal	March 2018
Hopf-link topological nodal-loop semimetals Zhou, Yao; Xiong, Feng; Wan, Xiangang Physical Review B, Vol. 97, Issue 15 https://doi.org/10.1103/physrevb.97.155140	journal	April 2018
Floquet Weyl semimetals in light-irradiated type-II and hybrid line-node semimetals Chen, Rui; Zhou, Bin; Xu, Dong-Hui Physical Review B, Vol. 97, Issue 15 https://doi.org/10.1103/physrevb.97.155152	journal	April 2018
Topological transport in Dirac nodal-line semimetals Rui, W. B.; Zhao, Y. X.; Schnyder, Andreas P. Physical Review B, Vol. 97, Issue 16 https://doi.org/10.1103/physrevb.97.161113	journal	April 2018
Quantum oscillations in nodal line systems Yang, Hui; Moessner, Roderich; Lim, Lih-King Physical Review B, Vol. 97, Issue 16 https://doi.org/10.1103/physrevb.97.165118	journal	April 2018
Ferromagnetic Weyl fermions in CrO 2 Wang, R.; Jin, Y. J.; Zhao, J. Z. Physical Review B, Vol. 97, Issue 19 https://doi.org/10.1103/physrevb.97.195157	journal	May 2018
Topological and trivial magnetic oscillations in nodal loop semimetals Oroszlány, László; Dóra, Balázs; Cserti, József Physical Review B, Vol. 97, Issue 20 https://doi.org/10.1103/physrevb.97.205107	journal	May 2018
Scattering on a rectangular potential barrier in nodal-line Weyl semimetals Khokhlov, D. A.; Rakhmanov, A. L.; Rozhkov, A. V. Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/physrevb.97.235418	journal	June 2018
Nodal line fermions in magnetic oxides Wang, R.; Zhao, J. Z.; Jin, Y. J. Physical Review B, Vol. 97, Issue 24 https://doi.org/10.1103/physrevb.97.241111	journal	June 2018
Hourglasslike nodal net semimetal in Ag 2 BiO 3 Fu, Botao; Fan, Xiaotong; Ma, Dashuai Physical Review B, Vol. 98, Issue 7 https://doi.org/10.1103/physrevb.98.075146	journal	August 2018
Topological phase with a critical-type nodal line state in intermetallic CaPd Liu, Guodong; Jin, Lei; Dai, Xuefang Physical Review B, Vol. 98, Issue 7 https://doi.org/10.1103/physrevb.98.075157	journal	August 2018
Singlet-quintet mixing in spin-orbit coupled superconductors with j = 3 2 fermions Yu, Jiabin; Liu, Chao-Xing Physical Review B, Vol. 98, Issue 10 https://doi.org/10.1103/physrevb.98.104514	journal	September 2018
Dynamical conductivity in the topological nodal-line semimetal ZrSiS Habe, Tetsuro; Koshino, Mikito Physical Review B, Vol. 98, Issue 12 https://doi.org/10.1103/physrevb.98.125201	journal	September 2018
Broken-symmetry phases of interacting nested Weyl and Dirac loops Araújo, Miguel A. N.; Li, Linhu Physical Review B, Vol. 98, Issue 15 https://doi.org/10.1103/physrevb.98.155114	journal	October 2018
Tunable two-dimensional Dirac nodal nets Shao, Ding-Fu; Zhang, Shu-Hui; Dang, Xiaoqian Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.161104	journal	October 2018
Effect of an incommensurate potential on nodal-link semimetals Wang, Yucheng; Hu, Haiping; Chen, Shu Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/physrevb.98.205410	journal	November 2018
Ideal intersecting nodal-ring phonons in bcc C 8 Jin, Y. J.; Chen, Z. J.; Xia, B. W. Physical Review B, Vol. 98, Issue 22 https://doi.org/10.1103/physrevb.98.220103	journal	December 2018
Helical metals and insulators: Sheet singularity of the inflated Berry monopole Rostami, Habib; Cappelluti, Emmanuele; Balatsky, Alexander V. Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/physrevb.98.245114	journal	December 2018
Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides Nie, Simin; Weng, Hongming; Prinz, Fritz B. Physical Review B, Vol. 99, Issue 3 https://doi.org/10.1103/physrevb.99.035125	journal	January 2019
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
Weyl-loop half-metal in Li 3 ( FeO 3 ) 2 Chen, Cong; Yu, Zhi-Ming; Li, Si Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/physrevb.99.075131	journal	February 2019
Possible pressure-induced topological quantum phase transition in the nodal line semimetal ZrSiS VanGennep, D.; Paul, T. A.; Yerger, C. W. Physical Review B, Vol. 99, Issue 8 https://doi.org/10.1103/physrevb.99.085204	journal	February 2019
Nodal chain semimetal in geometrically frustrated systems Xiao, Meng; Sun, Xiao-Qi; Fan, Shanhui Physical Review B, Vol. 99, Issue 9 https://doi.org/10.1103/physrevb.99.094206	journal	March 2019
Quantum impurity in topological multi-Weyl semimetals Lü, Hai-Feng; Deng, Ying-Hua; Ke, Sha-Sha Physical Review B, Vol. 99, Issue 11 https://doi.org/10.1103/physrevb.99.115109	journal	March 2019
Faithful tight-binding models and fragile topology of magic-angle bilayer graphene Po, Hoi Chun; Zou, Liujun; Senthil, T. Physical Review B, Vol. 99, Issue 19 https://doi.org/10.1103/physrevb.99.195455	journal	May 2019
Symmetry representation approach to topological invariants in C 2 z T -symmetric systems Ahn, Junyeong; Yang, Bohm-Jung Physical Review B, Vol. 99, Issue 23 https://doi.org/10.1103/physrevb.99.235125	journal	June 2019
Topologically nontrivial photonic nodal surface in a photonic metamaterial Kim, Minkyung; Lee, Dasol; Lee, Dongwoo Physical Review B, Vol. 99, Issue 23 https://doi.org/10.1103/physrevb.99.235423	journal	June 2019
Infrared spectroscopy study of the nodal-line semimetal candidate ZrSiTe under pressure: Hints for pressure-induced phase transitions Ebad-Allah, J.; Krottenmüller, M.; Hu, J. Physical Review B, Vol. 99, Issue 24 https://doi.org/10.1103/physrevb.99.245133	journal	June 2019
Unified Theory of P T and C P Invariant Topological Metals and Nodal Superconductors Zhao, Y. X.; Schnyder, Andreas P.; Wang, Z. D. Physical Review Letters, Vol. 116, Issue 15 https://doi.org/10.1103/physrevlett.116.156402	journal	April 2016
Double Dirac Semimetals in Three Dimensions Wieder, Benjamin J.; Kim, Youngkuk; Rappe, A. M. Physical Review Letters, Vol. 116, Issue 18 https://doi.org/10.1103/physrevlett.116.186402	journal	May 2016
Body-Centered Orthorhombic C 16 : A Novel Topological Node-Line Semimetal Wang, Jian-Tao; Weng, Hongming; Nie, Simin Physical Review Letters, Vol. 116, Issue 19 https://doi.org/10.1103/physrevlett.116.195501	journal	May 2016
MoTe 2 : A Type-II Weyl Topological Metal Wang, Zhijun; Gresch, Dominik; Soluyanov, Alexey A. Physical Review Letters, Vol. 117, Issue 5 https://doi.org/10.1103/physrevlett.117.056805	journal	July 2016
Tunable Weyl Points in Periodically Driven Nodal Line Semimetals Yan, Zhongbo; Wang, Zhong Physical Review Letters, Vol. 117, Issue 8 https://doi.org/10.1103/physrevlett.117.087402	journal	August 2016
Filling-Enforced Gaplessness in Band Structures of the 230 Space Groups Watanabe, Haruki; Po, Hoi Chun; Zaletel, Michael P. Physical Review Letters, Vol. 117, Issue 9 https://doi.org/10.1103/physrevlett.117.096404	journal	August 2016
Strong Intrinsic Spin Hall Effect in the TaAs Family of Weyl Semimetals Sun, Yan; Zhang, Yang; Felser, Claudia Physical Review Letters, Vol. 117, Issue 14 https://doi.org/10.1103/physrevlett.117.146403	journal	September 2016
Giant Isotropic Nernst Effect in an Anisotropic Kondo Semimetal Stockert, Ulrike; Sun, Peijie; Oeschler, Niels Physical Review Letters, Vol. 117, Issue 21 https://doi.org/10.1103/physrevlett.117.216401	journal	November 2016
Evidence for a Strong Topological Insulator Phase in ZrTe 5 Manzoni, G.; Gragnaniello, L.; Autès, G. Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/physrevlett.117.237601	journal	November 2016
Pseudospin Vortex Ring with a Nodal Line in Three Dimensions Lim, Lih-King; Moessner, Roderich Physical Review Letters, Vol. 118, Issue 1 https://doi.org/10.1103/physrevlett.118.016401	journal	January 2017
Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs 3 Quan, Y.; Yin, Z. P.; Pickett, W. E. Physical Review Letters, Vol. 118, Issue 17 https://doi.org/10.1103/physrevlett.118.176402	journal	April 2017
From Nodal Chain Semimetal to Weyl Semimetal in HfC Yu, Rui; Wu, Quansheng; Fang, Zhong Physical Review Letters, Vol. 119, Issue 3 https://doi.org/10.1103/physrevlett.119.036401	journal	July 2017
Electrodynamics on Fermi Cyclides in Nodal Line Semimetals Ahn, Seongjin; Mele, E. J.; Min, Hongki Physical Review Letters, Vol. 119, Issue 14 https://doi.org/10.1103/physrevlett.119.147402	journal	October 2017
Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets Li, Kangkang; Li, Chenyuan; Hu, Jiangping Physical Review Letters, Vol. 119, Issue 24 https://doi.org/10.1103/physrevlett.119.247202	journal	December 2017
Topological Nodal-Net Semimetal in a Graphene Network Structure Wang, Jian-Tao; Nie, Simin; Weng, Hongming Physical Review Letters, Vol. 120, Issue 2 https://doi.org/10.1103/physrevlett.120.026402	journal	January 2018
Rules for Phase Shifts of Quantum Oscillations in Topological Nodal-Line Semimetals Li, Cequn; Wang, C. M.; Wan, Bo Physical Review Letters, Vol. 120, Issue 14 https://doi.org/10.1103/physrevlett.120.146602	journal	April 2018
Realistic Floquet Semimetal with Exotic Topological Linkages between Arbitrarily Many Nodal Loops Li, Linhu; Lee, Ching Hua; Gong, Jiangbin Physical Review Letters, Vol. 121, Issue 3 https://doi.org/10.1103/physrevlett.121.036401	journal	July 2018
Band Topology and Linking Structure of Nodal Line Semimetals with Z 2 Monopole Charges Ahn, Junyeong; Kim, Dongwook; Kim, Youngkuk Physical Review Letters, Vol. 121, Issue 10 https://doi.org/10.1103/physrevlett.121.106403	journal	September 2018
Proposal for Detecting Nodal-Line Semimetal Surface States with Resonant Spin-Flipped Reflection Chen, Wei; Luo, Kun; Li, Lin Physical Review Letters, Vol. 121, Issue 16 https://doi.org/10.1103/physrevlett.121.166802	journal	October 2018
Topological Hourglass Dirac Semimetal in the Nonpolar Phase of Ag 2 BiO 3 Singh, Bahadur; Ghosh, Barun; Su, Chenliang Physical Review Letters, Vol. 121, Issue 22 https://doi.org/10.1103/physrevlett.121.226401	journal	November 2018
Dirac Nodal Line Metal for Topological Antiferromagnetic Spintronics Shao, Ding-Fu; Gurung, Gautam; Zhang, Shu-Hui Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/physrevlett.122.077203	journal	February 2019
Topological Semimetals in the SnTe Material Class: Nodal Lines and Weyl Points Lau, Alexander; Ortix, Carmine Physical Review Letters, Vol. 122, Issue 18 https://doi.org/10.1103/physrevlett.122.186801	journal	May 2019
Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects Chen, Wei; Lu, Hai-Zhou; Zilberberg, Oded Physical Review Letters, Vol. 122, Issue 19 https://doi.org/10.1103/physrevlett.122.196603	journal	May 2019
All Magic Angles in Twisted Bilayer Graphene are Topological Song, Zhida; Wang, Zhijun; Shi, Wujun Physical Review Letters, Vol. 123, Issue 3 https://doi.org/10.1103/physrevlett.123.036401	journal	July 2019
Underlying Topological Dirac Nodal Line Mechanism of the Anomalously Large Electron-Phonon Coupling Strength on a Be (0001) Surface Li, Ronghan; Li, Jiangxu; Wang, Lei Physical Review Letters, Vol. 123, Issue 13 https://doi.org/10.1103/physrevlett.123.136802	journal	September 2019
Higher-Order Topology, Monopole Nodal Lines, and the Origin of Large Fermi Arcs in Transition Metal Dichalcogenides X Te 2 ( X = Mo , W ) Wang, Zhijun; Wieder, Benjamin J.; Li, Jian Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/physrevlett.123.186401	journal	October 2019
Spin-to-Charge Conversion in Magnetic Weyl Semimetals Zhang, Steven S. -L.; Burkov, Anton A.; Martin, Ivar Physical Review Letters, Vol. 123, Issue 18 https://doi.org/10.1103/physrevlett.123.187201	journal	October 2019
Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling Sur, Shouvik; Roy, Bitan Physical Review Letters, Vol. 123, Issue 20 https://doi.org/10.1103/physrevlett.123.207601	journal	November 2019
Large Variation of Dirac Semimetal State in Perovskite CaIrO 3 with Pressure-Tuning of Electron Correlation Yamada, R.; Fujioka, J.; Kawamura, M. Physical Review Letters, Vol. 123, Issue 21 https://doi.org/10.1103/physrevlett.123.216601	journal	November 2019
Photoemission Spectroscopic Evidence for the Dirac Nodal Line in the Monoclinic Semimetal SrAs 3 Song, Y. K.; Wang, G. W.; Li, S. C. Physical Review Letters, Vol. 124, Issue 5 https://doi.org/10.1103/physrevlett.124.056402	journal	February 2020
Topological Dirac nodal-net fermions in AlB 2 -type TiB 2 and ZrB 2 Feng, Xing; Yue, Changming; Song, Zhida Physical Review Materials, Vol. 2, Issue 1 https://doi.org/10.1103/physrevmaterials.2.014202	journal	January 2018
Nexus networks in carbon honeycombs Chen, Yuanping; Xie, Yuee; Gao, Yan Physical Review Materials, Vol. 2, Issue 4 https://doi.org/10.1103/physrevmaterials.2.044205	journal	April 2018
Topological band crossings in hexagonal materials Zhang, J.; Chan, Y. -H.; Chiu, C. -K. Physical Review Materials, Vol. 2, Issue 7 https://doi.org/10.1103/physrevmaterials.2.074201	journal	July 2018
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Recent progress on correlated electron systems with strong spin-orbit coupling Schaffer, Robert; Lee, Eric Kin-Ho; Yang, Bohm-Jung arXiv https://doi.org/10.48550/arxiv.1512.02224	text	January 2015
Topological crystalline semimetals in non-symmorphic lattices Chen, Yige; Kim, Heung-Sik; Kee, Hae-Young arXiv https://doi.org/10.48550/arxiv.1512.08865	text	January 2015
Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice Zhang, Dan-Wei; Zhao, Y. X.; Liu, Rui-Bin arXiv https://doi.org/10.48550/arxiv.1601.00371	text	January 2016
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Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride Weng, Hongming; Fang, Chen; Fang, Zhong arXiv https://doi.org/10.48550/arxiv.1604.08467	text	January 2016
Topological nodal line semimetals Fang, Chen; Weng, Hongming; Dai, Xi arXiv https://doi.org/10.48550/arxiv.1609.05414	text	January 2016
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Thermoelectric quantum oscillations in ZrSiS Matusiak, Marcin; Cooper, J. R.; Kaczorowski, Dariusz arXiv https://doi.org/10.48550/arxiv.1701.02137	text	January 2017
From Nodal Chain Semimetal To Weyl Semimetal in HfC Yu, Rui; Wu, Quansheng; Fang, Zhong arXiv https://doi.org/10.48550/arxiv.1701.08502	text	January 2017
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Dirac and nodal line magnons in three-dimensional antiferromagnets Li, Kangkang; Li, Chenyuan; Hu, Jiangping arXiv https://doi.org/10.48550/arxiv.1703.08545	text	January 2017
Topological semimetals with double-helix nodal link Chen, Wei; Lu, Hai-Zhou; Hou, Jing-Min arXiv https://doi.org/10.48550/arxiv.1703.10886	text	January 2017
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Coexistence of four-band nodal rings and triply-degenerate nodal points in centrosymmetric metal diborides Zhang, Xiaoming; Yu, Zhi-Ming; Sheng, Xian-Lei arXiv https://doi.org/10.48550/arxiv.1704.03703	text	January 2017
Antiferromagnetic Topological Nodal Line Semimetals Wang, Jing arXiv https://doi.org/10.48550/arxiv.1704.05608	text	January 2017
Nodal-knot semimetals Bi, Ren; Yan, Zhongbo; Lu, Ling arXiv https://doi.org/10.48550/arxiv.1704.06849	text	January 2017
Hourglass Dirac Chain Metal in Rhenium Dioxide Wang, Shan-Shan; Liu, Ying; Yu, Zhi-Ming arXiv https://doi.org/10.48550/arxiv.1705.01424	text	January 2017
Robust doubly charged nodal lines and nodal surfaces in centrosymmetric systems Bzdušek, Tomáš; Sigrist, Manfred arXiv https://doi.org/10.48550/arxiv.1705.07126	text	January 2017
Experimental discovery of nodal chains Yan, Qinghui; Liu, Rongjuan; Yan, Zhongbo arXiv https://doi.org/10.48550/arxiv.1706.05500	text	January 2017
Flat optical conductivity in ZrSiS due to two-dimensional Dirac bands Schilling, M. B.; Schoop, L. M.; Lotsch, B. V. arXiv https://doi.org/10.48550/arxiv.1707.09620	text	January 2017
Numerical Study of Universal Conductance Fluctuation in Three-dimensional Topological Semimetals Hu, Yayun; Liu, Haiwen; Jiang, Hua arXiv https://doi.org/10.48550/arxiv.1708.05212	text	January 2017
Weyl nodal surfaces Türker, Oğuz; Moroz, Sergej arXiv https://doi.org/10.48550/arxiv.1709.01561	text	January 2017
Band Connectivity for Topological Quantum Chemistry: Band Structures As A Graph Theory Problem Bradlyn, Barry; Elcoro, L.; Vergniory, M. G. arXiv https://doi.org/10.48550/arxiv.1709.01937	text	January 2017
Theory of Large Intrinsic Spin Hall Effect in Iridate Semimetals Patri, Adarsh S.; Hwang, Kyusung; Lee, Hyun-Woo arXiv https://doi.org/10.48550/arxiv.1711.00861	text	January 2017
Scattering on a rectangular potential barrier in nodal-line Weyl semimetals Khokhlov, D. A.; Rakhmanov, A. L.; Rozhkov, A. V. arXiv https://doi.org/10.48550/arxiv.1802.08643	text	January 2018
Topological nodal-line semimetals in ferromagnetic rare-earth-metal monohalides Nie, Simin; Weng, Hongming; Prinz, Fritz B. arXiv https://doi.org/10.48550/arxiv.1803.08486	text	January 2018
Emergence of Topological insulator and Nodal line semi-metal states in XX'Bi (X=Na, K, Rb, Cs; X'=Ca, Sr) Mondal, Chiranjit; Barman, C. K.; Kumar, Sourabh arXiv https://doi.org/10.48550/arxiv.1804.02225	text	January 2018
Topological band crossings in hexagonal materials Zhang, Jonathan; Chan, Y. -H.; Chiu, Ching-Kai arXiv https://doi.org/10.48550/arxiv.1805.05120	text	January 2018
Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene Po, Hoi Chun; Zou, Liujun; Senthil, T. arXiv https://doi.org/10.48550/arxiv.1808.02482	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
Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling Sur, Shouvik; Roy, Bitan arXiv https://doi.org/10.48550/arxiv.1812.05615	text	January 2018
Hear the Sound of Weyl Fermions Song, Zhida; Dai, Xi arXiv https://doi.org/10.48550/arxiv.1901.09926	text	January 2019
Weak Localization and Antilocalization in Nodal-Line Semimetals: Dimensionality and Topological Effects Chen, Wei; Lu, Hai-Zhou; Zilberberg, Oded arXiv https://doi.org/10.48550/arxiv.1902.06921	text	January 2019
Topological Semimetal features in the Multiferroic Hexagonal Manganites Weber, Sophie F.; Griffin, Sinéad M.; Neaton, Jeffrey B. arXiv https://doi.org/10.48550/arxiv.1902.10085	text	January 2019
Magnetic susceptibility of topological semimetals Mikitik, G. P.; Sharlai, Yu. V. arXiv https://doi.org/10.48550/arxiv.1903.12208	text	January 2019
Spin-to-charge conversion in magnetic Weyl semimetals Zhang, Steven S. -L.; Burkov, Anton A.; Martin, Ivar arXiv https://doi.org/10.48550/arxiv.1904.07181	text	January 2019
Two-dimensional higher-order topology in monolayer graphdiyne Lee, Eunwoo; Kim, Rokyeon; Ahn, Junyeong arXiv https://doi.org/10.48550/arxiv.1904.11452	text	January 2019
Suppression of twinning and enhanced electronic anisotropy of SrIrO3 films Jaiswal, A. K.; Schneider, R.; Singh, R. arXiv https://doi.org/10.48550/arxiv.1907.07520	text	January 2019
Non-Abelian band topology in noninteracting metals QuanSheng, Wu,; A., Soluyanov, Alexey; Tomáš, Bzdušek, American Association for the Advancement of Science https://doi.org/10.5167/uzh-181242	text	January 2019