Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interaction

Abstract

The study of symmetry-protected topological states in presence of electron correlations has recently aroused great interest as rich and exotic phenomena can emerge. Here, we report a concrete example by employing large-scale unbiased quantum Monte Carlo study of the Kane-Mele model with cluster charge interactions. The ground-state phase diagram for the model at half filling is established. Our simulation identifies the coexistence of a symmetry-protected topological order with a symmetry-breaking Kekul$\acute{e}$ valence bond order and shows that the spontaneous symmetry-breaking is accompanied by an interaction-driven topological phase transition (TPT). This TPT features appearance of zeros of single-particle Green's function and gap closing in spin channel rather than single-particle excitation spectrum, and thus has no mean-field correspondence.

arXiv comment7+3 pages, 7+8 figures

References in corpus (46)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Periodic table for topological insulators and superconductors
• Symmetry protected topological orders and the group cohomology of their symmetry group
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Topological Mott Insulators
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Electron fractionalization in two-dimensional graphenelike structures
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Single particle Green's functions and interacting topological insulators
• Robustness of the Spin-Chern number
• Classification of Topological Insulators and Superconductors
• Pinning the order: the nature of quantum criticality in the Hubbard model on honeycomb lattice
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Simplified topological invariants for interacting insulators
• Fermionic quantum criticality in honeycomb and $\pi$-flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
• Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice, with possible applications to twisted bilayer graphene
• Quantum phase transitions in the Kane-Mele-Hubbard model
• The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry
• Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
• Duality between the deconfined quantum-critical point and the bosonic topological transition
• Fermion-induced quantum critical points
• Fermionic Quantum Critical Point of Spinless Fermions on a Honeycomb Lattice
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Fermion-sign-free Majarana-quantum-Monte-Carlo studies of quantum critical phenomena of Dirac fermions in two dimensions
• Topological Hamiltonian as an Exact Tool for Topological Invariants
• Solution to sign problems in half-filled spin-polarized electronic systems
• Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Z2 topological invariants in two dimensions from quantum Monte Carlo
• Combined topological and Landau order from strong correlations in Chern bands
• 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
• Dynamical Generation of Topological Masses in Dirac Fermions
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Topological invariants for interacting topological insulators: I. Efficient numerical evaluation scheme and implementations
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands