Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion

Abstract

The phase structure of 2-dimensional topological insulators under a sufficiently strong electron-electron interaction is investigated. The effective theory is constructed by extending the idea of the Kane-Mele model on the graphenelike honeycomb lattice, in terms of U(1) lattice gauge theory (quantum electrodynamics, QED). We analyze the phase structure by the techniques of strong coupling expansion of lattice gauge theory. As a result, we find that the topological phase structure of the system is modified by the electron-electron interaction. There evolves a new phase with the antiferromagnetism not parallel to the direction pointed by the spin-orbit coupling, in between the conventional and the topological insulator phases. We also discuss the physical implication of the new phase structure found here, in analogy to the parity-broken phase in lattice quantum chromodynamics (QCD), known as "Aoki phase".

13 pages, 9 figures

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Cited by in corpus (13)

• Rashba spin orbit coupling in the Kane-Mele-Hubbard model
• Phase diagram of the Kane-Mele-Coulomb model
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Interaction Induced Topological Charge Pump
• Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Stability of Multinode Dirac Semimetals against Strong Long-Range Correlations
• Applications of lattice QCD techniques for condensed matter systems
• Quantum phase transitions of topological insulators without gap closing
• Kondo effect with Wilson fermions
• Quantum Monte Carlo simulation of topological phase transitions
• Interacting Dirac fields in an expanding universe: dynamical condensates and particle production
• Valence Bond Phases in $S=1/2$ Kane-Mele-Heisenberg Model