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Symmetry-protected topological phases at finite temperature

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dc.contributor.authorViyuela, O.
dc.contributor.authorRivas, A.
dc.contributor.authorMartín-Delgado Alcántara, Miguel Ángel
dc.date.accessioned2023-06-18T06:49:49Z
dc.date.available2023-06-18T06:49:49Z
dc.date.issued2015-09
dc.description© 2015 IOP Publishing Ltd. We thank the Spanish MINECO grant FIS2012-33152, FIS2009-10061, CAM research consortium QUITEMAD+S2013/ICE-2801, European Commission PICC: FP7 2007-2013 grant No. 249958, UCM-BS grant GICC-910758, FPU MEC grant and Residencia de Estudiantes.
dc.description.abstractWe have applied the recently developed theory of topological Uhlmann numbers to a representative model of a topological insulator in two dimensions, the Qi-Wu-Zhang model. We have found a stable symmetry-protected topological phase under external thermal fluctuations in two dimensions. A complete phase diagram for this model is computed as a function of temperature and coupling constants in the original Hamiltonian. It shows the appearance of large stable phases of matter with topological properties compatible with thermal fluctuations or external noise and the existence of critical lines separating abruptly trivial phases from topological phases. These novel critical temperatures represent thermal topological phase transitions. The initial part of the paper comprises a self-contained explanation of the Uhlmann geometric phase needed to understand the topological properties that it may acquire when applied to topological insulators and superconductors.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipUnión Europea. FP7
dc.description.sponsorshipComunidad de Madrid
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO), España
dc.description.sponsorshipEuropean Commission PICC: FP7 2007-2013
dc.description.sponsorshipSéptimo Programa Marco de la UE 7th Framework Program of the European Comission FP7
dc.description.sponsorshipUniversidad Complutense de Madrid (UCM)
dc.description.sponsorshipBanco Santander Central Hispano (BSCH)
dc.description.sponsorshipResidencia de Estudiantes (CSIC), España
dc.description.sponsorshipConsejo Superior de Investigaciones Científicas (CSIC), España
dc.description.sponsorshipMinisterio de Educación y Ciencia (MEC), España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/35656
dc.identifier.doi10.1088/2053-1583/2/3/034006
dc.identifier.issn2053-1583
dc.identifier.officialurlhttp://dx.doi.org/10.1088/2053-1583/2/3/034006
dc.identifier.relatedurlhttp://www.arxiv.org
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/24334
dc.issue.number3
dc.journal.title2D materials
dc.language.isoeng
dc.publisherIOP Publishing Ltd.
dc.relation.projectIDPICC (249958)
dc.relation.projectIDQUITEMAD+ (S2013/ICE-2801)
dc.relation.projectIDFIS2012-33152
dc.relation.projectIDFIS2009-10061
dc.relation.projectIDGICC-910758
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordTopological insulators
dc.subject.keywordTopological superconductors
dc.subject.keywordThermal properties
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleSymmetry-protected topological phases at finite temperature
dc.typejournal article
dc.volume.number2
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