First order character and observable signatures of topological quantum phase transitions

TL;DR

This paper reveals that strong electron-electron interactions can induce a first-order topological quantum phase transition without energy gap closing, featuring observable signatures and a quantum critical endpoint.

Contribution

It demonstrates the existence of a first-order topological phase transition driven by interactions, contrasting with the conventional continuous transitions in non-interacting systems.

Findings

First-order topological transition without gap closing

Existence of a quantum critical endpoint

Observable signatures in orbital occupations

Abstract

Topological quantum phase transitions are characterised by changes in global topological invariants. These invariants classify many body systems beyond the conventional paradigm of local order parameters describing spontaneous symmetry breaking. For non-interacting electrons, it is well understood that such transitions are continuous and always accompanied by a gap-closing in the energy spectrum, given that the symmetries protecting the topological phase are maintained. Here, we demonstrate that sufficiently strong electron-electron interaction can fundamentally change the situation: we discover a topological quantum phase transition of first order character in the genuine thermodynamic sense, that occurs without gap closing. Our theoretical study reveals the existence of a quantum critical endpoint associated with an orbital instability on the transition line between a 2D topological insulator and a trivial band insulator. Remarkably, this phenomenon entails unambiguous signatures associated to the orbital occupations that can be detected experimentally.