Nature of continuous phase transitions in interacting topological insulators
arXiv:1708.03538 · doi:10.1103/PhysRevB.96.195118
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.
8 pages, 9 figures; minor correction; LA-UR-17-26330
References in corpus (17)
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
- Nearly-flat bands with nontrivial topology
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Quantum spin Hall effect in a transition metal oxide Na2IrO3
- Geometric phases and criticality in spin chain systems
- Correlation effects in two-dimensional topological insulators
- Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
- First order character and observable signatures of topological quantum phase transitions
- A quantum topological phase transition at the microscopic level
- Entanglement, fidelity and topological entropy in a quantum phase transition to topological order
- Magnetic ordering phenomena of interacting quantum spin Hall models
- Phase diagram of the Kane-Mele-Coulomb model
- Flux insertion, entanglement, and quantized responses
- Topological Invariant and Quantum Spin Models from Magnetic π Fluxes in Correlated Topological Insulators
- Two-component quantum Hall effects in topological flat bands
- Cellular dynamical mean-field theory study of an interacting topological honeycomb lattice model at finite temperature
Cited by in corpus (5)
- Geometry of quantum phase transitions
- Analytical approach for the Mott transition in the Kane-Mele-Hubbard model
- Determining topological order from infinite projected entangled pair states
- Variational methods for characterizing matrix product operator symmetries
- Topological phase transition driven by Hatsugai-Kohmoto interaction on the Kagome lattice