Nature of continuous phase transitions in interacting topological insulators

2017/08/31 by Tian-Sheng Zeng, Wei Zhu, W. Zhu +3 · 10 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Condensed matter physics #Density matrix renormalization group #Hubbard model #Ising model #Magnetic field #Mathematics #Phase transition #Physics #Quantum #Quantum Hall effect #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Scaling #Topological Materials and Phenomena #Topological insulator #Topological order #Universality (dynamical systems) #cond-mat.mes-hall #cond-mat.quant-gas #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.96.195118

published in Physical review. B./Physical review. B 96(19) (American Physical Society) · 8 pages, 9 figures; minor correction; LA-UR-17-26330

openalex publication_date 2017/11/08 · arxiv created 2017/11/09 · arxiv updated 2017/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

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 evidence 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.

Citations

• Quantum spin Hall insulators with interactions and lattice anisotropy
• TOPOLOGICAL ORDERS IN RIGID STATES
• Mott physics and band topology in materials with strong spin–orbit interaction
• Quantum Spin Hall Effect in Graphene
• Entanglement, fidelity, and topological entropy in a quantum phase transition to topological order
• Flux insertion, entanglement, and quantized responses
• Z2Topological Order and the Quantum Spin Hall Effect
• First-Order Character and Observable Signatures of Topological Quantum Phase Transitions
• Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Topological versus Landau-like phase transitions