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Article: Topological connection between the stability of Fermi surfaces and topological insulators and superconductors
Title | Topological connection between the stability of Fermi surfaces and topological insulators and superconductors |
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Authors | |
Issue Date | 2014 |
Publisher | American Physical Society. The Journal's web site is located at http://prb.aps.org/ |
Citation | Physical Review B (Condensed Matter and Materials Physics), 2014, v. 89 n. 7, article no. 075111 , p. 1-12 How to Cite? |
Abstract | A topology-intrinsic connection between the stabilities of Fermi surfaces (FSs) and topological insulators/superconductors (TIs/TSCs) is revealed. First, through revealing the topological difference of the roles played by the time-reversal (or particle-hole) symmetry respectively on FSs and TIs/TSCs, a one-to-one relation between the topological types of FSs and TIs/TSCs is rigorously derived by two distinct methods with one relying on the direct evaluation of topological invariants and the other on K theory. Secondly, we propose and prove a general index theorem that relates the topological charge of FSs on the natural boundary of a TI/TSC to its bulk topological number. In the proof, FSs of all codimensions for all symmetry classes and topological types are systematically constructed by Dirac matrices. Moreover, implications of the general index theorem on the boundary quasiparticles are also addressed. © 2014 American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/197634 |
ISSN | 2014 Impact Factor: 3.736 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Zhao, Y | en_US |
dc.contributor.author | Wang, Z | en_US |
dc.date.accessioned | 2014-05-29T08:32:31Z | - |
dc.date.available | 2014-05-29T08:32:31Z | - |
dc.date.issued | 2014 | en_US |
dc.identifier.citation | Physical Review B (Condensed Matter and Materials Physics), 2014, v. 89 n. 7, article no. 075111 , p. 1-12 | - |
dc.identifier.issn | 1098-0121 | - |
dc.identifier.uri | http://hdl.handle.net/10722/197634 | - |
dc.description.abstract | A topology-intrinsic connection between the stabilities of Fermi surfaces (FSs) and topological insulators/superconductors (TIs/TSCs) is revealed. First, through revealing the topological difference of the roles played by the time-reversal (or particle-hole) symmetry respectively on FSs and TIs/TSCs, a one-to-one relation between the topological types of FSs and TIs/TSCs is rigorously derived by two distinct methods with one relying on the direct evaluation of topological invariants and the other on K theory. Secondly, we propose and prove a general index theorem that relates the topological charge of FSs on the natural boundary of a TI/TSC to its bulk topological number. In the proof, FSs of all codimensions for all symmetry classes and topological types are systematically constructed by Dirac matrices. Moreover, implications of the general index theorem on the boundary quasiparticles are also addressed. © 2014 American Physical Society. | - |
dc.language | eng | en_US |
dc.publisher | American Physical Society. The Journal's web site is located at http://prb.aps.org/ | en_US |
dc.relation.ispartof | Physical Review B (Condensed Matter and Materials Physics) | en_US |
dc.rights | Copyright 2014 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevB.89.075111 | - |
dc.title | Topological connection between the stability of Fermi surfaces and topological insulators and superconductors | en_US |
dc.type | Article | en_US |
dc.identifier.email | Wang, Z: zwang@hkucc.hku.hk | en_US |
dc.identifier.authority | Wang, Z=rp00802 | en_US |
dc.description.nature | published_or_final_version | - |
dc.identifier.doi | 10.1103/PhysRevB.89.075111 | en_US |
dc.identifier.scopus | eid_2-s2.0-84897658504 | - |
dc.identifier.hkuros | 228912 | en_US |
dc.identifier.volume | 89 | en_US |
dc.identifier.issue | 7 | - |
dc.identifier.spage | article no. 075111, p. 1 | - |
dc.identifier.epage | article no. 075111, p. 12 | - |
dc.identifier.eissn | 1550-235X | - |
dc.identifier.isi | WOS:000332384000001 | - |
dc.publisher.place | United States | en_US |
dc.identifier.issnl | 1098-0121 | - |