Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring

Details Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring

2007-09-03

arxiv.org/abs/0709.0079v2

Phys. Rev. B 77, 045324 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevB.77.045324

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be transformed into a free electron gas in the equal-strength Rashba-Dresselhaus [001] linear model, the Dresselhaus [110] linear model, and a one-dimensional system. A general tight-binding Hamiltonian for non-uniform spin-orbit interactions and hoppings along arbitrary directions, within the framework of finite difference method, is obtained. As an application based on this Hamiltonian, a quantum square ring in contact with two ideal leads is found to exhibit four states, insulating, spin-filtering, spin-flipping, and spin-keeping states.

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