Second-Order Topological Phases in Non-Hermitian Systems
A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to the Hermitian case, these zero-energy modes can be localized only...
Saved in:
Published in | Physical review letters Vol. 122; no. 7; p. 076801 |
---|---|
Main Authors | , , , , , , |
Format | Journal Article |
Language | English |
Published |
United States
22.02.2019
|
Online Access | Get more information |
Cover
Loading…
Abstract | A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to the Hermitian case, these zero-energy modes can be localized only at one corner. A 3D non-Hermitian SOTI is shown to support second-order boundary modes, which are localized not along hinges but anomalously at a corner. The usual bulk-corner (hinge) correspondence in the second-order 2D (3D) non-Hermitian system breaks down. The winding number (Chern number) based on complex wave vectors is used to characterize the second-order topological phases in 2D (3D). A possible experimental situation with ultracold atoms is also discussed. Our work lays the cornerstone for exploring higher-order topological phenomena in non-Hermitian systems. |
---|---|
AbstractList | A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI can host zero-energy modes at its corners. In contrast to the Hermitian case, these zero-energy modes can be localized only at one corner. A 3D non-Hermitian SOTI is shown to support second-order boundary modes, which are localized not along hinges but anomalously at a corner. The usual bulk-corner (hinge) correspondence in the second-order 2D (3D) non-Hermitian system breaks down. The winding number (Chern number) based on complex wave vectors is used to characterize the second-order topological phases in 2D (3D). A possible experimental situation with ultracold atoms is also discussed. Our work lays the cornerstone for exploring higher-order topological phenomena in non-Hermitian systems. |
Author | Nori, Franco Ai, Qing Ueda, Masahito Zhang, Yu-Ran Kawabata, Kohei Liu, Tao Gong, Zongping |
Author_xml | – sequence: 1 givenname: Tao surname: Liu fullname: Liu, Tao organization: Theoretical Quantum Physics Laboratory, RIKEN Cluster for Pioneering Research, Wako-shi, Saitama 351-0198, Japan – sequence: 2 givenname: Yu-Ran surname: Zhang fullname: Zhang, Yu-Ran organization: Beijing Computational Science Research Center, Beijing 100193, China – sequence: 3 givenname: Qing surname: Ai fullname: Ai, Qing organization: Department of Physics, Applied Optics Beijing Area Major Laboratory, Beijing Normal University, Beijing 100875, China – sequence: 4 givenname: Zongping surname: Gong fullname: Gong, Zongping organization: Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan – sequence: 5 givenname: Kohei surname: Kawabata fullname: Kawabata, Kohei organization: Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan – sequence: 6 givenname: Masahito surname: Ueda fullname: Ueda, Masahito organization: RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan – sequence: 7 givenname: Franco surname: Nori fullname: Nori, Franco organization: Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA |
BackLink | https://www.ncbi.nlm.nih.gov/pubmed/30848648$$D View this record in MEDLINE/PubMed |
BookMark | eNo1j91KwzAYQIMo7kdfYfQFUr_8fY2XMtQJxQ03r0eapK7SJqWpQt_egXp1ztWBsyCXIQZPyIpBzhiIu91pSm_-u_TjmDPOcyhQA7sgcwbFPS0YkzOySOkTABhHfU1mArTUKPWc6L23MTi6HZwfskPsYxs_GmvabHcyyaesCdlrDHTjh64ZGxOy_ZRG36UbclWbNvnbPy7J-9PjYb2h5fb5Zf1QUisljNRjDUqBwUrpSgmwha6RoTOFk8CdsqpCLYyQyiHY2qD1QjHLEPEsSvIlWf12-6-q8-7YD01nhun4v8B_AFqMSm8 |
CitedBy_id | crossref_primary_10_1103_PhysRevLett_129_180401 crossref_primary_10_1007_s43673_022_00065_0 crossref_primary_10_1088_2399_6528_abcab6 crossref_primary_10_1103_PhysRevB_107_045118 crossref_primary_10_1088_2040_8986_ac2e15 crossref_primary_10_1103_PhysRevResearch_2_043045 crossref_primary_10_1103_PhysRevB_100_054105 crossref_primary_10_1103_PhysRevResearch_2_043167 crossref_primary_10_1088_1402_4896_abc580 crossref_primary_10_1103_PhysRevA_106_042210 crossref_primary_10_1103_PhysRevB_103_134507 crossref_primary_10_1063_5_0101925 crossref_primary_10_1038_s41467_021_26414_5 crossref_primary_10_1088_1361_648X_abee3d crossref_primary_10_1103_PhysRevB_105_165137 crossref_primary_10_1103_PhysRevA_109_022211 crossref_primary_10_1103_PhysRevB_107_125118 crossref_primary_10_1103_PhysRevB_109_045110 crossref_primary_10_1103_PhysRevB_101_144439 crossref_primary_10_1088_0256_307X_37_11_117303 crossref_primary_10_1103_PhysRevE_104_034107 crossref_primary_10_1103_PhysRevLett_132_063804 crossref_primary_10_3389_fphy_2022_861125 crossref_primary_10_1103_PhysRevA_109_063329 crossref_primary_10_1103_PhysRevB_102_134213 crossref_primary_10_1103_PhysRevB_109_064203 crossref_primary_10_1103_PhysRevResearch_2_043274 crossref_primary_10_1103_PhysRevB_102_235151 crossref_primary_10_1209_0295_5075_131_27002 crossref_primary_10_1364_OL_498084 crossref_primary_10_1080_00018732_2021_1876991 crossref_primary_10_1098_rspa_2021_0927 crossref_primary_10_1103_PhysRevB_108_045407 crossref_primary_10_1103_PhysRevB_104_045408 crossref_primary_10_1103_PhysRevB_107_115412 crossref_primary_10_1103_PhysRevB_101_245138 crossref_primary_10_1103_PhysRevB_102_100102 crossref_primary_10_1103_PhysRevLett_123_216803 crossref_primary_10_1103_PhysRevA_101_013625 crossref_primary_10_1103_PhysRevLett_124_023603 crossref_primary_10_1103_PhysRevResearch_4_033122 crossref_primary_10_1038_s41534_022_00629_w crossref_primary_10_1103_PhysRevB_109_L201121 crossref_primary_10_1364_PRJ_450166 crossref_primary_10_1103_PhysRevB_103_035420 crossref_primary_10_1103_PhysRevX_9_041015 crossref_primary_10_1103_PhysRevB_104_L060401 crossref_primary_10_1103_PhysRevB_106_L140303 crossref_primary_10_1088_2399_6528_abb24c crossref_primary_10_1364_OE_452216 crossref_primary_10_1515_nanoph_2023_0443 crossref_primary_10_1103_PhysRevB_103_224206 crossref_primary_10_1103_PhysRevResearch_1_023013 crossref_primary_10_21468_SciPostPhys_14_5_107 crossref_primary_10_3389_fphy_2022_866347 crossref_primary_10_1088_1674_1056_ad2502 crossref_primary_10_1103_PhysRevB_103_224203 crossref_primary_10_3389_fphy_2023_1123596 crossref_primary_10_1103_PhysRevA_102_033715 crossref_primary_10_1103_PhysRevB_104_245302 crossref_primary_10_1103_PhysRevB_105_075420 crossref_primary_10_1103_PhysRevB_108_075143 crossref_primary_10_1103_PhysRevA_103_012419 crossref_primary_10_1021_acsphotonics_0c00357 crossref_primary_10_1103_PhysRevB_103_235306 crossref_primary_10_1103_PhysRevB_105_245143 crossref_primary_10_1038_s42005_021_00668_3 crossref_primary_10_1103_PhysRevB_105_195127 crossref_primary_10_1103_PhysRevB_105_045122 crossref_primary_10_1103_PhysRevLett_122_195501 crossref_primary_10_1103_PhysRevA_106_L061302 crossref_primary_10_1103_PhysRevLett_123_246801 crossref_primary_10_1103_PhysRevLett_126_240402 crossref_primary_10_1002_andp_202300133 crossref_primary_10_1103_PhysRevB_107_165120 crossref_primary_10_1103_PhysRevB_108_205423 crossref_primary_10_1146_annurev_conmatphys_040521_033133 crossref_primary_10_1103_PhysRevLett_125_126402 crossref_primary_10_1103_PhysRevLett_125_126403 crossref_primary_10_1103_PhysRevB_103_144202 crossref_primary_10_1103_PhysRevB_105_195116 crossref_primary_10_1002_andp_201900307 crossref_primary_10_1038_s41467_022_30715_8 crossref_primary_10_1103_PhysRevB_104_L121108 crossref_primary_10_1103_PhysRevB_107_144204 crossref_primary_10_1103_PhysRevLett_124_250402 crossref_primary_10_1088_1367_2630_ac1287 crossref_primary_10_1038_s41598_023_35509_6 crossref_primary_10_1103_PhysRevB_103_L041102 crossref_primary_10_1002_adma_202307998 crossref_primary_10_1103_PhysRevLett_126_226802 crossref_primary_10_1103_PhysRevA_100_053820 crossref_primary_10_1103_PhysRevLett_123_066405 crossref_primary_10_1103_PhysRevB_106_115107 crossref_primary_10_1103_PhysRevA_102_012203 crossref_primary_10_1103_PhysRevB_102_201103 crossref_primary_10_1515_nanoph_2022_0211 crossref_primary_10_1103_PhysRevB_104_094201 crossref_primary_10_1103_PhysRevB_108_075122 crossref_primary_10_1103_PhysRevB_108_075121 crossref_primary_10_1103_PhysRevA_99_053806 crossref_primary_10_1103_PhysRevA_101_013812 crossref_primary_10_1103_PhysRevA_103_033305 crossref_primary_10_1103_PhysRevLett_123_066404 crossref_primary_10_1021_acs_chemrev_2c00800 crossref_primary_10_1088_1674_1056_ac3738 crossref_primary_10_1103_PhysRevA_103_063507 crossref_primary_10_1088_1367_2630_ab81b6 crossref_primary_10_1088_1361_648X_ac30b4 crossref_primary_10_1103_PhysRevB_101_121116 crossref_primary_10_1038_s41377_020_0331_y crossref_primary_10_1103_PhysRevLett_131_116601 crossref_primary_10_1364_OL_44_005804 crossref_primary_10_1103_PhysRevB_102_041119 crossref_primary_10_1103_PhysRevA_107_012219 crossref_primary_10_1088_2515_7639_acf2ca crossref_primary_10_1038_s41565_023_01380_9 crossref_primary_10_1103_PhysRevLett_123_097701 crossref_primary_10_3390_sym15091651 crossref_primary_10_1103_PhysRevB_104_195437 crossref_primary_10_1103_PhysRevLett_127_176601 crossref_primary_10_1088_1367_2630_abe6e4 crossref_primary_10_1103_PhysRevB_108_L241402 crossref_primary_10_1002_andp_202100443 crossref_primary_10_1103_PhysRevLett_127_250402 crossref_primary_10_1007_s11467_023_1337_8 crossref_primary_10_1103_PhysRevA_103_043329 crossref_primary_10_1103_PhysRevB_105_L100102 crossref_primary_10_1364_JOSAB_481963 crossref_primary_10_1038_s42005_019_0233_6 crossref_primary_10_1103_PhysRevB_106_035408 crossref_primary_10_1140_epjb_e2019_100393_5 crossref_primary_10_22331_q_2024_03_13_1277 crossref_primary_10_1103_PhysRevResearch_3_043064 crossref_primary_10_1038_s41467_021_22223_y crossref_primary_10_1103_PhysRevResearch_2_023173 crossref_primary_10_1103_PhysRevB_108_195125 crossref_primary_10_1088_1367_2630_ac38ce crossref_primary_10_1103_PhysRevB_101_115120 crossref_primary_10_7566_JPSJ_93_064702 crossref_primary_10_1103_PhysRevLett_131_207201 crossref_primary_10_1103_PhysRevB_102_241102 crossref_primary_10_1103_PhysRevResearch_6_023216 crossref_primary_10_1103_PhysRevLett_132_136401 crossref_primary_10_1088_1367_2630_ac652f crossref_primary_10_1088_1751_8121_acfbc9 crossref_primary_10_1103_PhysRevA_103_033325 crossref_primary_10_1103_PhysRevB_109_L121403 crossref_primary_10_1038_s42005_023_01487_4 crossref_primary_10_1103_PhysRevLett_123_073601 crossref_primary_10_1103_PhysRevX_13_021007 crossref_primary_10_1103_PhysRevLett_125_186802 crossref_primary_10_1103_PhysRevB_103_L041115 crossref_primary_10_1103_PhysRevB_109_085430 crossref_primary_10_1103_PhysRevB_99_235112 crossref_primary_10_1088_1361_6633_ad4e64 crossref_primary_10_1063_5_0091778 crossref_primary_10_1103_PhysRevB_108_235422 crossref_primary_10_1126_sciadv_abj8905 crossref_primary_10_1103_PhysRevB_103_L241408 crossref_primary_10_1103_PhysRevApplied_13_064015 crossref_primary_10_1103_PhysRevB_101_235150 crossref_primary_10_1103_PhysRevA_102_013301 crossref_primary_10_1103_PhysRevResearch_2_013280 crossref_primary_10_1063_5_0042975 crossref_primary_10_1103_PhysRevB_102_035153 crossref_primary_10_1103_PhysRevB_102_094305 crossref_primary_10_1103_PhysRevB_109_165127 crossref_primary_10_1002_andp_202300291 crossref_primary_10_1007_s11467_021_1122_5 crossref_primary_10_1088_1361_648X_aca4b4 crossref_primary_10_1103_PhysRevB_103_205205 crossref_primary_10_1002_adma_201903639 crossref_primary_10_1103_PhysRevResearch_4_033109 crossref_primary_10_1103_PhysRevB_105_125421 crossref_primary_10_1002_adpr_202200087 crossref_primary_10_1103_PhysRevA_99_042111 crossref_primary_10_1002_pssr_202200264 crossref_primary_10_1103_PhysRevB_100_045141 crossref_primary_10_1103_PRXQuantum_4_030315 crossref_primary_10_7566_JPSJ_90_104703 crossref_primary_10_1103_RevModPhys_93_015005 crossref_primary_10_1021_acsphotonics_2c01367 crossref_primary_10_1515_nanoph_2022_0775 crossref_primary_10_1103_PhysRevB_102_241202 crossref_primary_10_1103_PhysRevA_106_053517 crossref_primary_10_1063_5_0153523 crossref_primary_10_1103_PhysRevB_107_L020202 crossref_primary_10_1088_2515_7639_ab4092 crossref_primary_10_1103_PhysRevLett_124_066602 crossref_primary_10_1103_PhysRevB_100_184314 crossref_primary_10_1103_PhysRevB_102_045110 crossref_primary_10_1103_PhysRevB_104_214502 crossref_primary_10_1103_PhysRevResearch_4_023160 crossref_primary_10_7498_aps_71_20221151 crossref_primary_10_1103_PhysRevA_106_043715 crossref_primary_10_1038_s41377_020_00352_1 crossref_primary_10_1103_PhysRevLett_128_223903 crossref_primary_10_1103_PhysRevB_106_045126 crossref_primary_10_1088_1361_648X_ad2c73 crossref_primary_10_1140_epjb_e2020_10036_3 crossref_primary_10_1364_OE_482836 crossref_primary_10_1038_s41377_021_00607_5 crossref_primary_10_1088_1361_648X_ab11b3 crossref_primary_10_1103_PhysRevB_108_245114 crossref_primary_10_1103_PhysRevB_104_125109 crossref_primary_10_7566_JPSJ_90_053703 crossref_primary_10_1103_PhysRevB_107_085407 crossref_primary_10_1088_0256_307X_37_8_081101 crossref_primary_10_1142_S0217979220501465 crossref_primary_10_1103_PhysRevResearch_6_013213 crossref_primary_10_1088_1361_648X_ab6f8b crossref_primary_10_1103_PhysRevB_99_121411 crossref_primary_10_1103_PhysRevResearch_2_033521 crossref_primary_10_1103_PhysRevA_101_063839 crossref_primary_10_1364_OE_399893 crossref_primary_10_1103_PhysRevLett_128_157601 crossref_primary_10_1007_s11467_024_1412_9 crossref_primary_10_1103_PhysRevB_100_201406 crossref_primary_10_1038_s41467_020_14994_7 crossref_primary_10_1103_PhysRevB_106_L201302 crossref_primary_10_1103_PhysRevB_106_245105 crossref_primary_10_1103_PhysRevB_100_075423 crossref_primary_10_1038_s41566_019_0452_0 crossref_primary_10_1103_PhysRevB_108_205135 crossref_primary_10_1103_PhysRevA_100_062118 crossref_primary_10_1103_PhysRevResearch_2_033052 crossref_primary_10_1103_PhysRevB_101_045415 crossref_primary_10_1103_PhysRevB_103_L201406 crossref_primary_10_1103_PhysRevB_100_075415 crossref_primary_10_1103_PhysRevB_108_035410 crossref_primary_10_1002_lpor_202300204 crossref_primary_10_1007_s11433_020_1521_9 crossref_primary_10_1103_PhysRevB_108_245140 crossref_primary_10_1103_PhysRevResearch_5_043073 crossref_primary_10_1002_adma_202403108 crossref_primary_10_1021_acsphotonics_1c01171 crossref_primary_10_1021_acs_jpclett_2c02683 crossref_primary_10_1364_OE_466106 crossref_primary_10_1038_s41566_019_0561_9 crossref_primary_10_1515_nanoph_2020_0434 crossref_primary_10_1088_0256_307X_40_9_097403 crossref_primary_10_1103_PhysRevApplied_17_014034 crossref_primary_10_1103_PhysRevLett_124_185501 crossref_primary_10_1364_OE_438474 crossref_primary_10_1063_5_0196844 crossref_primary_10_1103_PhysRevB_102_205118 crossref_primary_10_1103_PhysRevLett_123_170401 crossref_primary_10_1007_s10773_021_04726_y crossref_primary_10_1103_PhysRevB_102_205116 crossref_primary_10_1103_PhysRevB_106_134511 crossref_primary_10_1002_lpor_202100300 crossref_primary_10_1103_PhysRevLett_127_116801 crossref_primary_10_1103_PhysRevB_103_115118 crossref_primary_10_1093_ptep_ptaa059 crossref_primary_10_1103_PhysRevB_100_155117 crossref_primary_10_1103_PhysRevB_100_075403 crossref_primary_10_1103_PhysRevB_102_064206 crossref_primary_10_1103_PhysRevA_101_063612 crossref_primary_10_1103_PhysRevB_107_085426 crossref_primary_10_1038_s41566_019_0523_2 crossref_primary_10_1103_PhysRevB_109_214311 crossref_primary_10_1088_1367_2630_ac40cb crossref_primary_10_1103_PhysRevB_106_045142 crossref_primary_10_1103_PhysRevB_107_125302 crossref_primary_10_1088_1367_2630_ac61d0 crossref_primary_10_1103_PhysRevLett_125_033603 crossref_primary_10_1103_PhysRevA_109_063518 crossref_primary_10_1103_PhysRevB_103_075126 crossref_primary_10_1103_PhysRevB_106_125310 crossref_primary_10_1021_acsphotonics_3c01651 crossref_primary_10_1103_PhysRevB_101_041109 crossref_primary_10_1103_PhysRevB_108_075401 crossref_primary_10_1002_adom_202300986 crossref_primary_10_1103_PhysRevB_109_054312 crossref_primary_10_1103_PhysRevResearch_2_033391 crossref_primary_10_1103_PhysRevLett_127_066401 crossref_primary_10_1103_PhysRevResearch_5_L022032 crossref_primary_10_1038_s41467_021_24948_2 crossref_primary_10_1364_OE_419852 crossref_primary_10_1002_lpor_202200499 crossref_primary_10_1002_andp_202100297 crossref_primary_10_1103_PhysRevB_101_195147 crossref_primary_10_1103_PhysRevB_106_195146 crossref_primary_10_1038_s41377_023_01196_1 crossref_primary_10_1038_s41598_021_99213_z crossref_primary_10_1103_PhysRevB_107_155117 crossref_primary_10_1103_PhysRevLett_124_086801 crossref_primary_10_1103_PhysRevX_14_021011 crossref_primary_10_1103_PhysRevB_106_075112 crossref_primary_10_1103_PhysRevLett_123_206404 crossref_primary_10_1103_PhysRevA_100_062131 crossref_primary_10_1103_PhysRevA_106_052216 crossref_primary_10_1103_PhysRevB_108_115114 crossref_primary_10_1103_PhysRevB_102_104109 crossref_primary_10_1103_PhysRevB_109_115406 crossref_primary_10_3390_nano11051170 crossref_primary_10_1103_PhysRevB_109_045145 crossref_primary_10_1103_PhysRevB_103_045420 crossref_primary_10_1103_PhysRevLett_126_086401 crossref_primary_10_1103_PhysRevB_106_214432 crossref_primary_10_1103_PhysRevB_109_094306 crossref_primary_10_1103_PhysRevB_108_L220301 crossref_primary_10_1364_OME_483361 crossref_primary_10_1103_PhysRevB_102_161101 crossref_primary_10_1103_PhysRevB_108_L121302 crossref_primary_10_1103_PhysRevB_99_201411 crossref_primary_10_1103_PhysRevLett_131_066601 crossref_primary_10_1103_PhysRevB_105_024514 crossref_primary_10_1103_PhysRevB_104_L161116 crossref_primary_10_1103_PhysRevA_109_022236 crossref_primary_10_1103_PhysRevB_107_115166 crossref_primary_10_1103_PhysRevLett_127_196801 crossref_primary_10_1103_PhysRevB_104_L161117 crossref_primary_10_1103_PhysRevA_99_062112 crossref_primary_10_1103_PhysRevB_101_125418 crossref_primary_10_1103_PhysRevLett_132_113802 crossref_primary_10_1103_PhysRevA_101_043833 crossref_primary_10_1103_PhysRevLett_123_177001 crossref_primary_10_1103_PhysRevLett_123_016805 crossref_primary_10_1103_PhysRevLett_124_036803 crossref_primary_10_1103_PhysRevB_99_081302 crossref_primary_10_1103_PhysRevB_109_125420 crossref_primary_10_1103_PhysRevLett_131_036402 crossref_primary_10_1364_OME_477926 crossref_primary_10_1364_OL_468157 crossref_primary_10_1103_PhysRevA_105_033512 crossref_primary_10_1103_PhysRevB_106_205146 crossref_primary_10_1038_s41467_020_16350_1 crossref_primary_10_1140_epjb_s10051_022_00364_3 crossref_primary_10_1038_s42254_021_00323_4 crossref_primary_10_1103_PhysRevB_107_064307 crossref_primary_10_1103_PhysRevB_109_165402 crossref_primary_10_1103_PhysRevB_101_020201 crossref_primary_10_1038_s41467_022_30161_6 crossref_primary_10_1038_s41524_022_00761_3 crossref_primary_10_1103_PhysRevLett_126_216405 crossref_primary_10_1515_nanoph_2023_0590 crossref_primary_10_1103_PhysRevA_103_042418 crossref_primary_10_1093_ptep_ptaa094 crossref_primary_10_1103_PhysRevB_107_195112 |
ContentType | Journal Article |
DBID | NPM |
DOI | 10.1103/PhysRevLett.122.076801 |
DatabaseName | PubMed |
DatabaseTitle | PubMed |
DatabaseTitleList | PubMed |
Database_xml | – sequence: 1 dbid: NPM name: PubMed url: https://proxy.k.utb.cz/login?url=http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database |
DeliveryMethod | no_fulltext_linktorsrc |
Discipline | Physics |
EISSN | 1079-7114 |
ExternalDocumentID | 30848648 |
Genre | Journal Article |
GroupedDBID | --- -DZ -~X 123 2-P 29O 3MX 5VS 85S 8NH ACBEA ACGFO ACNCT AENEX AEQTI AFFNX AFGMR AGDNE AJQPL ALMA_UNASSIGNED_HOLDINGS APKKM AUAIK CS3 D0L DU5 EBS EJD ER. F5P MVM N9A NPBMV NPM OK1 P2P ROL S7W SJN TN5 UBE UCJ VQA WH7 XSW YNT ZPR ~02 |
ID | FETCH-LOGICAL-c440t-e6f0550a6b58b530c78f616da7d402d5c5b683a345d60cfa6ce351c1666e35542 |
IngestDate | Wed Oct 16 00:51:48 EDT 2024 |
IsDoiOpenAccess | false |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 7 |
Language | English |
LinkModel | OpenURL |
MergedId | FETCHMERGED-LOGICAL-c440t-e6f0550a6b58b530c78f616da7d402d5c5b683a345d60cfa6ce351c1666e35542 |
OpenAccessLink | https://link.aps.org/accepted/10.1103/PhysRevLett.122.076801 |
PMID | 30848648 |
ParticipantIDs | pubmed_primary_30848648 |
PublicationCentury | 2000 |
PublicationDate | 2019-Feb-22 |
PublicationDateYYYYMMDD | 2019-02-22 |
PublicationDate_xml | – month: 02 year: 2019 text: 2019-Feb-22 day: 22 |
PublicationDecade | 2010 |
PublicationPlace | United States |
PublicationPlace_xml | – name: United States |
PublicationTitle | Physical review letters |
PublicationTitleAlternate | Phys Rev Lett |
PublicationYear | 2019 |
SSID | ssj0001268 |
Score | 2.7377908 |
Snippet | A d-dimensional second-order topological insulator (SOTI) can host topologically protected (d-2)-dimensional gapless boundary modes. Here, we show that a 2D... |
SourceID | pubmed |
SourceType | Index Database |
StartPage | 076801 |
Title | Second-Order Topological Phases in Non-Hermitian Systems |
URI | https://www.ncbi.nlm.nih.gov/pubmed/30848648 |
Volume | 122 |
hasFullText | |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1bS8MwGA1eUPYi3u_SB98kNUubpHsUUYbovE1QXyRJUxxoN3DzwV_vl6TdqlNRX9qSbKHNOU2_fM05RWiXc6rqTGeY0zTFcUYaWEoJR9Z8LtLACGdffNbizZv45JbdjhaxO3VJX4X67UtdyX9QhTLA1apk_4DssFEogGPAF7aAMGx_hfG1nc2m-NzaZ-61_ecOXKdfPMLDya10bXVz3LQLXvydXPEnLyLSixKoQsTy5PQ9w0j7tDNwkMruWIr5boCvRtw6cMsCLssnobPc97-7h32vLC8SDFbTRLHXCofGD4pENLCoe7HncNSktEIPURkD7bs9n6AYH56JtYmwF3ZlXq1eKYRmwvE_QDf3nh1okfX7596M8-faT7bZZdUkmhSJHfpaNo1TK5NvPCnk4nBK-1-fUA3Nlo18mnO42KM9j-aKSUNw4BmwgCZMvohmPHIvSyip8iCo8CDwPAg6efCBB0HBg2V0c3zUPmzi4osYWMcx6WPDMwJTSskVSxSLiBZJxus8lSKNCU2ZZoonkYxilnKiM8m1iVhd21fDxgaWdAVN5d3crKFAGm3d4xTlgsSZYEqSTDRUlBrDqEqidbTqL_mh521PHsrO2Pi2ZhPVRgTaQtMZ3GdmG4K2vtpxALwDPg8_kg |
link.rule.ids | 786 |
linkProvider | National Library of Medicine |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Second-Order+Topological+Phases+in+Non-Hermitian+Systems&rft.jtitle=Physical+review+letters&rft.au=Liu%2C+Tao&rft.au=Zhang%2C+Yu-Ran&rft.au=Ai%2C+Qing&rft.au=Gong%2C+Zongping&rft.date=2019-02-22&rft.eissn=1079-7114&rft.volume=122&rft.issue=7&rft.spage=076801&rft_id=info:doi/10.1103%2FPhysRevLett.122.076801&rft_id=info%3Apmid%2F30848648&rft_id=info%3Apmid%2F30848648&rft.externalDocID=30848648 |