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Local and Non-local correlation effects in topological quantum phase transitions

ORAL

Abstract

The fate of quantum phase transition among different topological states in presence of strong interaction is of primary interest in condensed matter.
We study the effects of electronic interactions at the local and non-local level in a paradigmatic model for topological insulator in two dimensions.
In the non-interacting regime topological transitions occurs via the continuous closing the energy gap.
Using Dynamical Mean-Field Theory and various cluster extensions (Cluster-DMFT, Variational Cluster Approximation, etc.), we show how short-range correlation effects are responsible for the breakdown of the continuous topological transition in favour of a first-order one. The discontinuous transition occurs without the celebrated closing of the energy gap, yet without the breaking of the symmetries which protect the topological state.

References:
A. Amaricci, J. C. Budich, M. Capone, B. Trauzettel, and G. Sangiovanni, Phys. Rev. Lett. 114, 185701 (2015)
A. Amaricci, J. C. Budich, M. Capone, B. Trauzettel, and G. Sangiovanni, Phys. Rev. B 93, 235112 (2016)
L. Crippa, A. Amaricci, N. Wagner, G. Sangiovanni, J. C. Budich, and M. Capone,arXiv:1904.11836 (2019)

Presenters

  • Lorenzo Crippa

    SISSA, Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Authors

  • Lorenzo Crippa

    SISSA, Scuola Internazionale Superiore di Studi Avanzati (SISSA)

  • Adriano Amaricci

    SISSA, Scuola Internazionale Superiore di Studi Avanzati (SISSA)

  • Giorgio Sangiovanni

    University of Wurzburg, University of Wuerzburg (Germany), Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, University of Würzburg, Universitaet Wuerzburg, Institut fuer Theoretische Physik und Astrophysik and Wuerzburg-Dresden Cluster of Excellence ct.qmat

  • Massimo Capone

    SISSA, Scuola Internazionale Superiore di Studi Avanzati (SISSA)