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Article: Topological connection between the stability of Fermi surfaces and topological insulators and superconductors

TitleTopological connection between the stability of Fermi surfaces and topological insulators and superconductors
Authors
Issue Date2014
PublisherAmerican 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 How to Cite?
AbstractA 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 Identifierhttp://hdl.handle.net/10722/197634
ISSN
2014 Impact Factor: 3.736
2015 SCImago Journal Rankings: 1.933
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhao, Yen_US
dc.contributor.authorWang, Zen_US
dc.date.accessioned2014-05-29T08:32:31Z-
dc.date.available2014-05-29T08:32:31Z-
dc.date.issued2014en_US
dc.identifier.citationPhysical Review B (Condensed Matter and Materials Physics), 2014, v. 89 n. 7, article no. 075111en_US
dc.identifier.issn1098-0121-
dc.identifier.urihttp://hdl.handle.net/10722/197634-
dc.description.abstractA 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.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://prb.aps.org/en_US
dc.relation.ispartofPhysical Review B (Condensed Matter and Materials Physics)en_US
dc.rightsPhysical Review B (Condensed Matter and Materials Physics). Copyright © American Physical Societyen_US
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.titleTopological connection between the stability of Fermi surfaces and topological insulators and superconductorsen_US
dc.typeArticleen_US
dc.identifier.emailWang, Z: zwang@hkucc.hku.hken_US
dc.identifier.authorityWang, Z=rp00802en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.89.075111en_US
dc.identifier.scopuseid_2-s2.0-84897658504-
dc.identifier.hkuros228912en_US
dc.identifier.volume89en_US
dc.identifier.issue7-
dc.identifier.spage075111-1en_US
dc.identifier.epage075111-12en_US
dc.identifier.eissn1550-235X-
dc.identifier.isiWOS:000332384000001-
dc.publisher.placeUnited Statesen_US

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