Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator

Abstract

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard interaction. This phase is gapped in the bulk, has gapless edge states and does not break any symmetry. Instead, we find a four-fold topological degeneracy of the ground state on the torus and fractionalized excitations with semionic mutual braiding statistics. Our work highlights the important theme that interesting phases arise in the regime of strong spin-orbit coupling and interactions.

5 pages, 4 figures, presentation improved, references added, experimental signature added

References in corpus (23)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Helical Metal Inside a Topological Band Insulator
• Correlation Effects in Quantum Spin-Hall Insulators: A Quantum Monte Carlo Study
• Time-Dependent Mean Field Theory for Quench Dynamics in correlated electron systems
• Phase Diagram of a Frustrated Quantum Antiferromagnet on the Honeycomb Lattice: Magnetic Order versus Valence-Bond Crystal formation
• Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
• Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
• Magnetic order and paramagnetic phases in the quantum J1-J2-J3 honeycomb model
• Quantum Quenches in the Hubbard Model: Time Dependent Mean Field Theory and The Role of Quantum Fluctuations
• Spin-charge Separated Solitons in a Topological Band Insulator
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Spin Charge Separation in the Quantum Spin Hall State
• Topological Entanglement Entropy of Z2 Spin liquids and Lattice Laughlin states
• Mott Physics on Helical Edges of 2D Topological Insulators
• Fractionally charged topological point defects on the kagome lattice
• The effects of interaction on quantum spin Hall insulators
• Chiral Spin Liquid in Correlated Topological Insulator
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Coulomb drag between helical edge states

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