Quantum Spin Hall Effect in Strip of Stripes Model

Abstract

We consider quantum spin Hall effect in an anisotropic strip of stripes and address both integer and fractional filling factors. The first model is based on a gradient of spin-orbit interaction in the direction perpendicular to the stripes. The second model is based on two weakly coupled strips with reversed dispersion relations. We demonstrate that these systems host helical modes, modes in which opposite spins propagate in opposite directions. In the integer regime, the modes carry an elementary electron charge whereas in the fractional regime they carry fractional charges, and their excitations possess anyonic braiding statistics. These simple quasi-one-dimensional models can serve as a platform for understanding effects arising due to electron-electron correlations in topological insulators.

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Cited by in corpus (15)

• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Magnonic topological insulators in antiferromagnets
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana Fermions in Ge/Si Hole Nanowires
• Chiral Spin Liquids in Arrays of Spin Chains
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Imprint of topological degeneracy in quasi-one-dimensional fractional quantum Hall states
• Time reversal symmetry broken fractional topological phases at zero magnetic field
• Fractional chiral superconductors
• From Quantum Wires to the Chern-Simons Description of the Fractional Quantum Hall Effect
• From coupled wires to coupled layers: Model with three-dimensional fractional excitations
• Three-Dimensional Fractional Topological Insulators in Coupled Rashba Layers
• Generalized parafermions and non-local Josephson effect in multi-layer systems