Nature of continuous phase transitions in interacting topological insulators

Abstract

We revisit the effects of the Hubbard repulsion on quantum spin Hall effects (QSHE) in two-dimensional quantum lattice models. We present both unbiased exact diagonalization and density-matrix renormalization group simulations with numerical evidences for a continuous quantum phase transition (CQPT) separating QSHE from the topologically trivial antiferromagnetic phase. Our numerical results suggest that, the nature of CQPT exhibits distinct finite-size scaling behaviors, which may be consistent with either Ising or XY universality classes for different time-reversal symmetric QSHE systems.

arXiv comment8 pages, 9 figures; minor correction; LA-UR-17-26330

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Cited by in corpus (9)

• Interacting topological insulators: a review
• Geometry of quantum phase transitions
• Fate of a topological invariant for correlated lattice electrons at finite temperature
• Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
• Determining non-Abelian topological order from infinite projected entangled pair states
• Determining topological order from infinite projected entangled pair states
• Precise determination of critical points of topological phase transitions via shift current in two-dimensional inversion asymmetric insulators
• Variational methods for characterizing matrix product operator symmetries
• Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice