Quantum Monte Carlo simulation of topological phase transitions
arXiv:1610.02154 · doi:10.1103/PhysRevB.94.245112
Abstract
We study the electron-electron interaction effects on topological phase transitions by the ab-initio quantum Monte Carlo simulation. We analyze two-dimensional class A topological insulators and three-dimensional Weyl semimetals with the long-range Coulomb interaction. The direct computation of the Chern number shows the electron-electron interaction modifies or extinguishes topological phase transitions.
References in corpus (33)
- Classification of topological insulators and superconductors in three spatial dimensions
- Topological Field Theory of Time-Reversal Invariant Insulators
- Periodic table for topological insulators and superconductors
- Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
- Mott physics and band topology in materials with strong spin-orbit interaction
- Fractional quantum Hall effect in the absence of Landau levels
- The effects of interactions on the topological classification of free fermion systems
- Strength of effective Coulomb interactions in graphene and graphite
- A theory of Topological Kondo Insulators
- Correlation effects in two-dimensional topological insulators
- Monte-Carlo study of the semimetal-insulator phase transition in monolayer graphene with realistic inter-electron interaction potential
- Chern-Simons Currents and Chiral Fermions on the Lattice
- Disorder and metal-insulator transitions in Weyl semimetals
- Interaction effects and quantum phase transitions in topological insulators
- Effect of Disorder in a Three-Dimensional Layered Chern Insulator
- Weyl semimetals with short-range interactions
- Topological Phase Transitions for Interacting Finite Systems
- Fractional quantum-Hall liquid spontaneously generated by strongly correlated t_2g electrons
- Phase diagram of the Kane-Mele-Coulomb model
- Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
- Interacting Weyl semimetals: characterization via the topological Hamiltonian and its breakdown
- Critical Momenta of Lattice Chiral Fermions
- Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations
- The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
- Quantum Monte Carlo Calculations for Carbon Nanotubes
- Weyl Semimetal in the Strong Coulomb Interaction Limit
- Quantum Monte Carlo study of strange correlator in interacting topological insulators
- Wilson fermions with chirally twisted mass
- Coupling, merging, and splitting Dirac points by electron-electron interaction
- Characterizing the weak topological properties: Berry phase point of view
- Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
- Berry phase in lattice QCD
- Domain-wall, overlap, and topological insulators
Cited by in corpus (6)
- Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
- Numerical evidence of conformal phase transition in graphene with long-range interactions
- Catalysis of Dynamical Chiral Symmetry Breaking by Chiral Chemical Potential in Dirac semimetals
- Lattice Quantum Monte Carlo Study of Chiral Magnetic Effect in Dirac Semimetals
- Lattice field theory simulations of Dirac semimetals
- Abelian and non-Abelian Berry curvatures in lattice QCD