RT Journal Article
T1 Symmetry-protected topological phases at finite temperature
A1 Viyuela, O.
A1 Rivas, A.
A1 Martín-Delgado Alcántara, Miguel Ángel
AB We 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.
PB IOP Publishing Ltd.
SN 2053-1583
YR 2015
FD 2015-09
LK https://hdl.handle.net/20.500.14352/24334
UL https://hdl.handle.net/20.500.14352/24334
LA eng
NO © 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.
NO Unión Europea. FP7
NO Comunidad de Madrid
NO Ministerio de Economía y Competitividad (MINECO), España
NO European Commission PICC: FP7 2007-2013
NO Séptimo Programa Marco de la UE 7th Framework Program of the European Comission FP7
NO Universidad Complutense de Madrid (UCM)
NO Banco Santander Central Hispano (BSCH)
NO Residencia de Estudiantes (CSIC), España
NO Consejo Superior de Investigaciones Científicas (CSIC), España
NO Ministerio de Educación y Ciencia (MEC), España
DS Docta Complutense
RD 18 abr 2025