Topological nodal-line fermions in spin-orbit metal PbTaSe2

Bian, Guang; Chang, Tay-Rong; Sankar, Raman; Xu, Su-Yang; Zheng, Hao; Neupert, Titus; Chiu, Ching-Kai; Huang, Shin-Ming; Chang, Guoqing; Belopolski, Ilya; Sanchez, Daniel S.; Neupane, Madhab; Alidoust, Nasser; Liu, Chang; Wang, BaoKai; Lee, Chi-Cheng; Jeng, Horng-Tay; Zhang, Chenglong; Yuan, Zhujun; Jia, Shuang; Bansil, Arun; Chou, Fangcheng; Lin, Hsin; Hasan, M. Zahid

doi:10.1038/ncomms10556

Topological nodal-line fermions in spin-orbit metal PbTaSe2

Journal Article · Mon Feb 01 23:00:00 EST 2016 · Nature Communications

DOI:https://doi.org/10.1038/ncomms10556· OSTI ID:1311503

Bian, Guang ^[1]; Chang, Tay-Rong; Sankar, Raman; Xu, Su-Yang; ; ; Chiu, Ching-Kai; ; ; Belopolski, Ilya; Sanchez, Daniel S.; Neupane, Madhab; Alidoust, Nasser; Liu, Chang; ; Lee, Chi-Cheng; Jeng, Horng-Tay; Zhang, Chenglong; ; Jia, Shuang more »

Princeton University

Here we discuss how topological semimetals can support one-dimensional Fermi lines or zero-dimensional Weyl points in momentum space, where the valence and conduction bands touch. While the degeneracy points in Weyl semimetals are robust against any perturbation that preserves translational symmetry, nodal lines require protection by additional crystalline symmetries such as mirror reflection. Here we report, based on a systematic theoretical study and a detailed experimental characterization, the existence of topological nodal-line states in the non-centrosymmetric compound PbTaSe₂ with strong spin-orbit coupling. Remarkably, the spin-orbit nodal lines in PbTaSe₂ are not only protected by the reflection symmetry but also characterized by an integer topological invariant. Our detailed angle-resolved photoemission measurements, first-principles simulations and theoretical topological analysis illustrate the physical mechanism underlying the formation of the topological nodal-line states and associated surface states for the first time, thus paving the way towards exploring the exotic properties of the topological nodal-line fermions in condensed matter systems.

View Accepted Manuscript (DOE)

Research Organization:: Northeastern Univ., Boston, MA (United States)

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

Grant/Contract Number:: FG02-07ER46352

OSTI ID:: 1311503

Journal Information:: Nature Communications, Journal Name: Nature Communications Vol. 7; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Emergence of intrinsic superconductivity below 1.178 K in the topologically non-trivial semimetal state of CaSn ₃ Zhu, Y. L.; Hu, J.; Womack, F. N. Journal of Physics: Condensed Matter, Vol. 31, Issue 24 https://doi.org/10.1088/1361-648x/ab0f0d	journal	April 2019
Interplay between magnetic, metal/insulator and topological phases in Hg _{1− x} Mn _x Te alloys: prediction of a ferromagnetic Weyl semimetal at x = 0.25 Silveira, Orlando J.; de Carvalho, Luiz C.; Alves, Horacio W. L. Journal of Physics: Condensed Matter, Vol. 31, Issue 43 https://doi.org/10.1088/1361-648x/ab3270	journal	July 2019
Magnetotransport properties of compensated semimetal HfB ₂ with high-density light carriers Wang, Qi; Yin, Qiangwei; Lei, Hechang Journal of Physics: Condensed Matter, Vol. 32, Issue 1 https://doi.org/10.1088/1361-648x/ab439e	journal	October 2019
Instabilities of Weyl loop semimetals Sur, Shouvik; Nandkishore, Rahul New Journal of Physics, Vol. 18, Issue 11 https://doi.org/10.1088/1367-2630/18/11/115006	journal	November 2016
Surface termination dependent quasiparticle scattering interference and magneto-transport study on ZrSiS Su, Chih-Chuan; Li, Chi-Sheng; Wang, Tzu-Cheng New Journal of Physics, Vol. 20, Issue 10 https://doi.org/10.1088/1367-2630/aae5c8	journal	October 2018
New type of hybrid nodal line semimetal in Be ₂ Si Li, Z. H.; Wang, W.; Zhou, P. New Journal of Physics, Vol. 21, Issue 3 https://doi.org/10.1088/1367-2630/ab0d95	journal	March 2019
Global topology of Weyl semimetals and Fermi arcs Mathai, Varghese; Thiang, Guo Chuan Journal of Physics A: Mathematical and Theoretical, Vol. 50, Issue 11 https://doi.org/10.1088/1751-8121/aa59b2	journal	February 2017
High throughput screening for two-dimensional topological insulators Li, Xinru; Zhang, Zeying; Yao, Yugui 2D Materials, Vol. 5, Issue 4 https://doi.org/10.1088/2053-1583/aadb1e	journal	September 2018
First-principles study of electronic structure and superconductivity of PbTa ₂ Se Zhang, Wenxue; Liu, Peng-Fei; Wang, Bao-Tian Materials Research Express, Vol. 6, Issue 4 https://doi.org/10.1088/2053-1591/aafb21	journal	January 2019
The growth and band structure of a graphene-encapsulated two-dimensional nodal line semimetal: Cu ₂ Si Roth, S.; Gatti, G.; Crepaldi, A. Electronic Structure, Vol. 1, Issue 1 https://doi.org/10.1088/2516-1075/ab02a3	journal	February 2019
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
Topological Hopf and Chain Link Semimetal States and Their Application to Co 2 Mn G a Chang, Guoqing; Xu, Su-Yang; Zhou, Xiaoting Physical Review Letters, Vol. 119, Issue 15 https://doi.org/10.1103/PhysRevLett.119.156401	journal	October 2017
Interaction-Driven Surface Chern Insulator in Nodal Line Semimetals Chen, Wei; Lado, J. L. Physical Review Letters, Vol. 122, Issue 1 https://doi.org/10.1103/PhysRevLett.122.016803	journal	January 2019
Topological bound states for quantum charges Paiva, I. L.; Aharonov, Y.; Tollaksen, J. Physical Review A, Vol. 100, Issue 4 https://doi.org/10.1103/physreva.100.040101	journal	October 2019
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 Physical Review A, Vol. 93, Issue 4 https://doi.org/10.1103/physreva.93.043617	journal	April 2016
Dirac and Weyl rings in three-dimensional cold-atom optical lattices Xu, Yong; Zhang, Chuanwei Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/physreva.93.063606	journal	June 2016
Generalized Hofstadter model on a cubic optical lattice: From nodal bands to the three-dimensional quantum Hall effect Zhang, Dan-Wei; Liu, Rui-Bin; Zhu, Shi-Liang Physical Review A, Vol. 95, Issue 4 https://doi.org/10.1103/physreva.95.043619	journal	April 2017
Ferromagnetic nodal-line metal in monolayer h -InC Jeon, Sunam; Oh, Yun-Tak; Kim, Youngkuk Physical Review B, Vol. 100, Issue 3 https://doi.org/10.1103/physrevb.100.035406	journal	July 2019
Straight nodal lines and waterslide surface states observed in acoustic metacrystals Qiu, Huahui; Qiu, Chunyin; Yu, Rui Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/physrevb.100.041303	journal	July 2019
Ground states of A u 2 Pb and pressure-enhanced superconductivity Wu, Juefei; Feng, Zili; Wang, Jinghui Physical Review B, Vol. 100, Issue 6 https://doi.org/10.1103/physrevb.100.060103	journal	August 2019
Superconducting properties in a candidate topological nodal line semimetal SnTaS 2 with a centrosymmetric crystal structure Chen, Dong-Yun; Wu, Yuelong; Jin, Lei Physical Review B, Vol. 100, Issue 6 https://doi.org/10.1103/physrevb.100.064516	journal	August 2019
Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals Dutta, Paramita; Black-Schaffer, Annica M. Physical Review B, Vol. 100, Issue 10 https://doi.org/10.1103/physrevb.100.104511	journal	September 2019
Dirac nodal lines and large spin Hall effect in the 6 H -perovskite iridate Ba 3 TiIr 2 O 9 Bhowal, Sayantika; Satpathy, S. Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115101	journal	September 2019
Quantum oscillations and nontrivial topological state in a compensated semimetal TaP 2 Wang, Hongyuan; Su, Hao; Zhang, Jiuyang Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115127	journal	September 2019
Fully spin-polarized open and closed nodal lines in β -borophene by magnetic proximity effect Zuo, Xi; Dias, A. C.; Liu, Fujun Physical Review B, Vol. 100, Issue 11 https://doi.org/10.1103/physrevb.100.115423	journal	September 2019
Observation of a topological nodal-line semimetal in YbMnSb 2 through optical spectroscopy Qiu, Ziyang; Le, Congcong; Liao, Zhiyu Physical Review B, Vol. 100, Issue 12 https://doi.org/10.1103/physrevb.100.125136	journal	September 2019
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
Dual topological insulator and insulator-semimetal transition in mirror-symmetric honeycomb materials Mao, Ning; Hu, Xiangting; Niu, Chengwang Physical Review B, Vol. 100, Issue 20 https://doi.org/10.1103/physrevb.100.205116	journal	November 2019
Impurity-induced resonant states in topological nodal-line semimetals Zhou, Tao; Chen, Wei; Gao, Yi Physical Review B, Vol. 100, Issue 20 https://doi.org/10.1103/physrevb.100.205119	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
Single anisotropic gap superconductivity and proximity effect in PbTaSe 2 Lian, Chao-Sheng; Si, Chen; Duan, Wenhui Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235420	journal	December 2019
Critical behavior of Anderson transitions in three-dimensional orthogonal classes with particle-hole symmetries Luo, Xunlong; Xu, Baolong; Ohtsuki, Tomi Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.020202	journal	January 2020
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
Superconducting properties in single crystals of the topological nodal semimetal PbTaSe 2 Zhang, Cheng-Long; Yuan, Zhujun; Bian, Guang Physical Review B, Vol. 93, Issue 5 https://doi.org/10.1103/physrevb.93.054520	journal	February 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
Drumhead surface states and topological nodal-line fermions in TlTaSe 2 Bian, Guang; Chang, Tay-Rong; Zheng, Hao Physical Review B, Vol. 93, Issue 12 https://doi.org/10.1103/physrevb.93.121113	journal	March 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
Observation of topological nodal fermion semimetal phase in ZrSiS Neupane, Madhab; Belopolski, Ilya; Hosen, M. Mofazzel Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/physrevb.93.201104	journal	May 2016
Topological nodal-line semimetals in alkaline-earth stannides, germanides, and silicides Huang, Huaqing; Liu, Jianpeng; Vanderbilt, David Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/physrevb.93.201114	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
Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines Hyart, T.; Heikkilä, T. T. Physical Review B, Vol. 93, Issue 23 https://doi.org/10.1103/physrevb.93.235147	journal	June 2016
Asymmetric mass acquisition in LaBi: Topological semimetal candidate Wu, Yun; Kong, Tai; Wang, Lin-Lin Physical Review B, Vol. 94, Issue 8 https://doi.org/10.1103/physrevb.94.081108	journal	August 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
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
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
Correlation effects and quantum oscillations in topological nodal-loop semimetals Liu, Jianpeng; Balents, Leon Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/physrevb.95.075426	journal	February 2017
Dirac line nodes and effect of spin-orbit coupling in the nonsymmorphic critical semimetals M SiS ( M = Hf , Zr ) Chen, C.; Xu, X.; Jiang, J. Physical Review B, Vol. 95, Issue 12 https://doi.org/10.1103/physrevb.95.125126	journal	March 2017
Quantum oscillation studies of the topological semimetal candidate ZrGe M ( M = S , Se , Te ) Hu, J.; Zhu, Y. L.; Graf, D. Physical Review B, Vol. 95, Issue 20 https://doi.org/10.1103/physrevb.95.205134	journal	May 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
Magnetotransport properties of the single-crystalline nodal-line semimetal candidates Ca T X ( T = Ag , Cd ; X = As , Ge ) Emmanouilidou, Eve; Shen, Bing; Deng, Xiaoyu Physical Review B, Vol. 95, Issue 24 https://doi.org/10.1103/physrevb.95.245113	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
Interacting nodal-line semimetal: Proximity effect and spontaneous symmetry breaking Roy, Bitan Physical Review B, Vol. 96, Issue 4 https://doi.org/10.1103/physrevb.96.041113	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
Pressure-induced superconductivity up to 13.1 K in the pyrite phase of palladium diselenide PdS e 2 ElGhazali, Moaz A.; Naumov, Pavel G.; Mirhosseini, Hossein Physical Review B, Vol. 96, Issue 6 https://doi.org/10.1103/physrevb.96.060509	journal	August 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
Type-II nodal loops: Theory and material realization Li, Si; Yu, Zhi-Ming; Liu, Ying Physical Review B, Vol. 96, Issue 8 https://doi.org/10.1103/physrevb.96.081106	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
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
Optical conductivity of three and two dimensional topological nodal-line semimetals Barati, Shahin; Abedinpour, Saeed H. Physical Review B, Vol. 96, Issue 15 https://doi.org/10.1103/physrevb.96.155150	journal	October 2017
Electron transport in nodal-line semimetals Syzranov, S. V.; Skinner, B. Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/physrevb.96.161105	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
Magnetic and noncentrosymmetric Weyl fermion semimetals in the R AlGe family of compounds ( R = rare earth ) Chang, Guoqing; Singh, Bahadur; Xu, Su-Yang Physical Review B, Vol. 97, Issue 4 https://doi.org/10.1103/physrevb.97.041104	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
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
Observation of gapless Dirac surface states in ZrGeTe Hosen, M. Mofazzel; Dimitri, Klauss; Aperis, Alex Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/physrevb.97.121103	journal	March 2018
A class of topological nodal rings and its realization in carbon networks Gao, Yan; Chen, Yuanping; Xie, Yuee Physical Review B, Vol. 97, Issue 12 https://doi.org/10.1103/physrevb.97.121108	journal	March 2018
Probing the Fermi surface and magnetotransport properties of MoAs 2 Singha, Ratnadwip; Pariari, Arnab; Gupta, Gaurav Kumar Physical Review B, Vol. 97, Issue 15 https://doi.org/10.1103/physrevb.97.155120	journal	April 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
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
Three-dimensional quantum anomalous Hall effect in hyperhoneycomb lattices Kim, Sang Wook; Seo, Kangjun; Uchoa, Bruno Physical Review B, Vol. 97, Issue 20 https://doi.org/10.1103/physrevb.97.201101	journal	May 2018
Observation of a nodal chain with Dirac surface states in Ti B 2 Yi, C. -J.; Lv, B. Q.; Wu, Q. S. Physical Review B, Vol. 97, Issue 20 https://doi.org/10.1103/physrevb.97.201107	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
Nodal loop and nodal surface states in the Ti 3 Al family of materials Zhang, Xiaoming; Yu, Zhi-Ming; Zhu, Ziming Physical Review B, Vol. 97, Issue 23 https://doi.org/10.1103/physrevb.97.235150	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
Observation of a Dirac nodal line in AlB 2 Takane, Daichi; Souma, Seigo; Nakayama, Kosuke Physical Review B, Vol. 98, Issue 4 https://doi.org/10.1103/physrevb.98.041105	journal	July 2018
Tunable topological semimetal states with ultraflat nodal rings in strained YN Huang, Huaqing; Jiang, Wei; Jin, Kyung-Hwan Physical Review B, Vol. 98, Issue 4 https://doi.org/10.1103/physrevb.98.045131	journal	July 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
Mirror protected multiple nodal line semimetals and material realization Ma, Da-Shuai; Zhou, Jianhui; Fu, Botao Physical Review B, Vol. 98, Issue 20 https://doi.org/10.1103/physrevb.98.201104	journal	November 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
Spin-orbit-stable type-II nodal line band crossing in n -doped monolayer Mo X 2 ( X = S , Se,Te) Kim, Kyung-Han; Yang, Bohm Jung; Lee, Hyun-Woo Physical Review B, Vol. 98, Issue 24 https://doi.org/10.1103/physrevb.98.245422	journal	December 2018
Weyl points of mechanical diamond Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro Physical Review B, Vol. 99, Issue 2 https://doi.org/10.1103/physrevb.99.024102	journal	January 2019
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
Tunable topological semimetallic phases in Kondo lattice systems Lu, Yen-Wen; Chou, Po-Hao; Chung, Chung-Hou Physical Review B, Vol. 99, Issue 3 https://doi.org/10.1103/physrevb.99.035141	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
Quaternary Heusler alloy: An ideal platform to realize triple point fermions Barman, C. K.; Mondal, Chiranjit; Pathak, Biswarup Physical Review B, Vol. 99, Issue 4 https://doi.org/10.1103/physrevb.99.045144	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
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
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
Evidence of Topological Nodal-Line Fermions in ZrSiSe and ZrSiTe Hu, Jin; Tang, Zhijie; Liu, Jinyu Physical Review Letters, Vol. 117, Issue 1 https://doi.org/10.1103/physrevlett.117.016602	journal	June 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
Time-Reversal-Breaking Weyl Fermions in Magnetic Heusler Alloys Wang, Zhijun; Vergniory, M. G.; Kushwaha, S. Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/physrevlett.117.236401	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
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
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
Flat Optical Conductivity in ZrSiS due to Two-Dimensional Dirac Bands Schilling, M. B.; Schoop, L. M.; Lotsch, B. V. Physical Review Letters, Vol. 119, Issue 18 https://doi.org/10.1103/physrevlett.119.187401	journal	November 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
Surface and 3D Quantum Hall Effects from Engineering of Exceptional Points in Nodal-Line Semimetals Molina, Rafael A.; González, José Physical Review Letters, Vol. 120, Issue 14 https://doi.org/10.1103/physrevlett.120.146601	journal	April 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
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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
Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors Wang, Rui; Su, W.; Zhu, Jian-Xin Physical Review Letters, Vol. 122, Issue 8 https://doi.org/10.1103/physrevlett.122.087001	journal	March 2019
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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
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
Enhanced electron correlations in the binary stannide PdSn 4 : A homologue of the Dirac nodal arc semimetal PtSn 4 Xu, C. Q.; Zhou, W.; Sankar, R. Physical Review Materials, Vol. 1, Issue 6 https://doi.org/10.1103/physrevmaterials.1.064201	journal	November 2017
Topological semimetal features in the multiferroic hexagonal manganites Weber, Sophie F.; Griffin, Sinéad M.; Neaton, Jeffrey B. Physical Review Materials, Vol. 3, Issue 6 https://doi.org/10.1103/physrevmaterials.3.064206	journal	June 2019
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Predicted Realization of Cubic Dirac Fermion in Quasi-One-Dimensional Transition-Metal Monochalcogenides Liu, Qihang; Zunger, Alex Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/physrevx.7.021019	journal	May 2017
Experimental Observation of Dirac Nodal Links in Centrosymmetric Semimetal TiB 2 Liu, Zhonghao; Lou, Rui; Guo, Pengjie Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/physrevx.8.031044	journal	August 2018
Diagnosis for Nonmagnetic Topological Semimetals in the Absence of Spin-Orbital Coupling Song, Zhida; Zhang, Tiantian; Fang, Chen Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/physrevx.8.031069	journal	September 2018
Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators Khalaf, Eslam; Po, Hoi Chun; Vishwanath, Ashvin Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/physrevx.8.031070	journal	September 2018
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Screening topological materials with a CsCl-type structure in crystallographic databases Jin, L.; Zhang, X. M.; Dai, X. F. IUCrJ, Vol. 6, Issue 4 https://doi.org/10.1107/S2052252519007383	journal	June 2019
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Momentum-space structure of surface states in a topological semimetal with a nexus point of Dirac lines Hyart, T.; Heikkila, T. T. arXiv https://doi.org/10.48550/arxiv.1604.06357	text	January 2016
Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2 Guan, Syu-You; Chen, Peng-Jen; Chu, Ming-Wen arXiv https://doi.org/10.48550/arxiv.1605.00548	text	January 2016
Tunable point nodes from line node semimetals via application of light Narayan, Awadhesh arXiv https://doi.org/10.48550/arxiv.1607.02503	text	January 2016
Instabilities of Weyl-loop semi-metals Sur, Shouvik; Nandkishore, Rahul arXiv https://doi.org/10.48550/arxiv.1608.08198	text	January 2016
Observation of the spin-polarized surface state in a noncentrosymmetric superconductor BiPd Neupane, Madhab; Alidoust, Nasser; Hosen, M. Mofazzel arXiv https://doi.org/10.48550/arxiv.1610.03431	text	January 2016
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
Nodal-link semimetals Yan, Zhongbo; Bi, Ren; Shen, Huitao arXiv https://doi.org/10.48550/arxiv.1704.00655	text	January 2017
Weyl-link semimetals Chang, Po-Yao; Yee, Chuck-Hou arXiv https://doi.org/10.48550/arxiv.1704.01948	text	January 2017
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
Nodal-knot semimetals Bi, Ren; Yan, Zhongbo; Lu, Ling arXiv https://doi.org/10.48550/arxiv.1704.06849	text	January 2017
Weyl and Dirac Semimetals in Three Dimensional Solids Armitage, N. P.; Mele, E. J.; Vishwanath, Ashvin arXiv https://doi.org/10.48550/arxiv.1705.01111	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
Type-II nodal loops: theory and material realization Li, Si; Yu, Zhi-Ming; Liu, Ying arXiv https://doi.org/10.48550/arxiv.1705.02076	text	January 2017
Transport and optics at the node in a nodal loop semimetal Mukherjee, S. P.; Carbotte, J. P. arXiv https://doi.org/10.48550/arxiv.1705.08866	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
Demonstration of Hopf-link semimetal bands with superconducting circuits Tan, Xinsheng; Li, Mengmeng; Li, Danyu arXiv https://doi.org/10.48550/arxiv.1712.07981	text	January 2017
Weyl points of mechanical diamond Takahashi, Yuta; Kariyado, Toshikaze; Hatsugai, Yasuhiro arXiv https://doi.org/10.48550/arxiv.1801.06784	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
Non-Abelian band topology in noninteracting metals Wu, QuanSheng; Soluyanov, Alexey A.; Bzdušek, Tomáš arXiv https://doi.org/10.48550/arxiv.1808.07469	text	January 2018
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 bound states for quantum charges Paiva, Ismael L.; Aharonov, Yakir; Tollaksen, Jeff arXiv https://doi.org/10.48550/arxiv.1904.10542	text	January 2019
Exploring Topological Superconductivity in Topological Materials Li, Yupeng; Xu, Zhu-An arXiv https://doi.org/10.48550/arxiv.1907.04493	text	January 2019
Angle-dependent magnetoresistance and its implications for Lifshitz transition in W2As3 Wang, Jialu; Yang, Haiyang; Ding, Linchao arXiv https://doi.org/10.48550/arxiv.2004.00314	text	January 2020
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

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