First order character and observable signatures of topological quantum phase transitions

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.

5 pages, 3 figures. Updated Fig. 1 and updated discussion of the first-order transition

References in corpus (10)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• "Deconfined" quantum critical points
• Strong electronic correlations from Hund's coupling
• Topological Mott Insulators
• Simplified topological invariants for interacting insulators
• Correlation effects in two-dimensional topological insulators
• Topological Mott insulator in three-dimensional systems with quadratic band touching
• Charge conservation protected topological phases

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