Interaction driven quantum phase transition in fractional quantum spin Hall effects

Abstract

By means of finite size exact diagonalization we theoretically study the electronic many-body effects on the nearly flat-band structure with time-reversal symmetry in a checkerboard lattice model and identify the topological nature of two quantum phases, with ninefold and threefold degeneracy, that appear, respectively, at small and large values $\lambda$ of a nearest neighbor spin dependent interaction. Numerical evidences from the evolution of low-lying energy spectra and Berry phases with both spin-independent and spin-dependent twisted boundary conditions reveal that these two different ground states share the same topological spin Chern number. Quantum phase transition between these two states by tuning $\lambda$ is confirmed by evaluating the energy spectra and quasispin excitation spectra closing. At last, the counting rules of spin excitation spectra are demonstrated as the fingerprints of the fractionalized quantum spin Hall states.

5 pages, 4 figures

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Cited by in corpus (12)

• Fractional (Chern and topological) insulators
• Observation of the dual quantum spin Hall insulator by density-tuned correlations in a van der Waals monolayer
• Time-Reversal Invariant Topological Moiré Flatband: A Platform for the Fractional Quantum Spin Hall Effect
• Topological Properties of τ-Type Organic Conductors with a Checkerboard Lattice
• Fractional Quantum Hall States of Dipolar Gases in Chern Bands
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Current enhancement through a time dependent constriction in fractional topological insulators
• Magnon Hall effect in antiferromagnetic lattices
• Strong ferromagnetic fluctuations in a doped checkerboard lattice
• Spin incoherent liquid and interaction-driven criticality in 1D Hubbard model
• Intrinsic localized modes in a two-dimensional checkerboard ferromagnetic lattice
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement