Spin-Orbit gauge and quantum spin Hall effect

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2008.10.077

We have shown that the non-Abelian spin-orbit gauge field strength of the Rashba and Dresselhaus interactions, when split into two Abelian field strengths, the Hamiltonian of the system can be re-expressed as a Landau level problem with a particular relation between the two coupling parameters. The quantum levels are created with up and down spins with opposite chirality and leads to the quantum spin Hall effect.

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