Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter

Abstract

We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the gauge field gives the electron wave function a spin-dependent phase which is frequently called the Aharonov-Casher phase. Applying on an AB ring this non-Abelian field together with the usual vector potential, we can make the interference condition completely destructive for one component of the spin while completely constructive for the other component of the spin over the entire energy range. This enables us to construct a perfect spin filter.

8 pages, 9 figures, to appear in Phys. Rev. A

References in corpus (4)

• Quantum rings as electron spin beam splitters
• Modulating Unpolarized Current in Quantum Spintronics: Visibility of Spin-Interference Effects in Multichannel Aharonov-Casher Mesoscopic Rings
• Zero-conductance resonances and spin-filtering effects in ring conductors subject to Rashba coupling
• Aharonov-Bohm Physics with Spin I: Geometric Phases in One-dimensional Ballistic Rings

Cited by in corpus (2)

• Non-Abelian spin-orbit gauge: Persistent spin helix and quantum square ring
• Effect of many-body quantum fluctuations on matrix Berry phases of a two-dimensional n-type semiconductor quantum dot