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Article: Three-dimensional non-Abelian generalizations of the Hofstadter model: Spin-orbit-coupled butterfly trios

TitleThree-dimensional non-Abelian generalizations of the Hofstadter model: Spin-orbit-coupled butterfly trios
Authors
Issue Date2021
PublisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/
Citation
Physical Review B: covering condensed matter and materials physics, 2021, v. 104 n. 11, p. article no. 115127 How to Cite?
AbstractWe theoretically introduce and study a three-dimensional Hofstadter model with linearly varying non-Abelian gauge potentials along all three dimensions. The model can be interpreted as spin-orbit coupling among a trio of Hofstadter butterfly pairs since each Cartesian surface (, or ) of the model reduces to a two-dimensional non-Abelian Hofstadter problem. By evaluating the commutativity among arbitrary loop operators around all axes, we derive its genuine (necessary and sufficient) non-Abelian condition, namely, that at least two out of the three hopping phases should be neither 0 nor . Under different choices of gauge fields in either the Abelian or the non-Abelian regime, both weak and strong topological insulating phases are identified in the model. ©2021 American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/306515
ISSN
2023 Impact Factor: 3.2
2023 SCImago Journal Rankings: 1.345
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorLiu, V-
dc.contributor.authorYang, Y-
dc.contributor.authorJoannopoulos, JD-
dc.contributor.authorSoljačić, M-
dc.date.accessioned2021-10-22T07:35:42Z-
dc.date.available2021-10-22T07:35:42Z-
dc.date.issued2021-
dc.identifier.citationPhysical Review B: covering condensed matter and materials physics, 2021, v. 104 n. 11, p. article no. 115127-
dc.identifier.issn2469-9950-
dc.identifier.urihttp://hdl.handle.net/10722/306515-
dc.description.abstractWe theoretically introduce and study a three-dimensional Hofstadter model with linearly varying non-Abelian gauge potentials along all three dimensions. The model can be interpreted as spin-orbit coupling among a trio of Hofstadter butterfly pairs since each Cartesian surface (, or ) of the model reduces to a two-dimensional non-Abelian Hofstadter problem. By evaluating the commutativity among arbitrary loop operators around all axes, we derive its genuine (necessary and sufficient) non-Abelian condition, namely, that at least two out of the three hopping phases should be neither 0 nor . Under different choices of gauge fields in either the Abelian or the non-Abelian regime, both weak and strong topological insulating phases are identified in the model. ©2021 American Physical Society.-
dc.languageeng-
dc.publisherAmerican Physical Society. The Journal's web site is located at http://journals.aps.org/prb/-
dc.relation.ispartofPhysical Review B: covering condensed matter and materials physics-
dc.rightsCopyright [2021] by The American Physical Society. This article is available online at [http://dx.doi.org/10.1103/PhysRevB.104.115127].-
dc.titleThree-dimensional non-Abelian generalizations of the Hofstadter model: Spin-orbit-coupled butterfly trios-
dc.typeArticle-
dc.identifier.emailYang, Y: yiyg@HKUCC-COM.hku.hk-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1103/PhysRevB.104.115127-
dc.identifier.scopuseid_2-s2.0-85115420570-
dc.identifier.hkuros329148-
dc.identifier.volume104-
dc.identifier.issue11-
dc.identifier.spagearticle no. 115127-
dc.identifier.epagearticle no. 115127-
dc.identifier.isiWOS:000704414900002-
dc.publisher.placeUnited States-

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