5 years ago

Nature of continuous phase transitions in interacting topological insulators.

D. N. Sheng, Jian-Xin Zhu, W. Zhu, Tian-Sheng Zeng

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.

Publisher URL: http://arxiv.org/abs/1708.03538

DOI: arXiv:1708.03538v3

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