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First-order quantum phase transition in three-dimensional topological band insulators
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2017 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 95, no 16, 161403Article in journal (Refereed) Published
Abstract [en]

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting gapped phases of fermions is necessarily accompanied by the closing of the band gap as long as the symmetries of the system are maintained. We show that such a quantum phase transition is possible without closing the gap in the case of a three-dimensional topological band insulator. We demonstrate this by calculating the free energy of the minimal model for a topological insulator, the Bernevig-Hughes-Zhang model, and show that as the band curvature continuously varies, a jump between the band-gap minima corresponding to the topologically trivial and nontrivial insulators occurs. Therefore, this first-order phase transition is a generic feature of three-dimensional topological band insulators. For a certain parameter range we predict a reentrant topological phase transition. We discuss our findings in connection with the recent experimental observation of a discontinuous topological phase transition in a family of topological crystalline insulators.

Place, publisher, year, edition, pages
American Physical Society, 2017. Vol. 95, no 16, 161403
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-208848DOI: 10.1103/PhysRevB.95.161403ISI: 000401766200004ScopusID: 2-s2.0-85017516907OAI: oai:DiVA.org:kth-208848DiVA: diva2:1109987
Note

QC 20170615

Available from: 2017-06-15 Created: 2017-06-15 Last updated: 2017-06-15Bibliographically approved

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Juricic, VladimirAbergel, David S. L.Balatsky, Alexander V.
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