Quantum spin Hall effect in strip of stripes model

2014/05/19 by Jelena Klinovaja, Yaroslav Tserkovnyak · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Charge (physics) #Condensed matter physics #Electron #Fractional quantum Hall effect #Graphene research and applications #Mathematics #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum mechanics #Quantum spin Hall effect #STRIPS #Spin (aerodynamics) #Spins #Topological Materials and Phenomena #Topological insulator #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.90.115426

published as Phys. Rev. B 90, 115426 (2014)

arxiv created 2014/05/19 · openalex publication_date 2014/09/22 · arxiv updated 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the 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, i.e., 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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