NDLI: Pure gauge spin-orbit couplings

Content Provider	Springer Nature Link
Author	Shikakhwa, M. S.
Copyright Year	2017
Abstract	Planar systems with a general linear spin-orbit interaction (SOI) that can be cast in the form of a non-Abelian pure gauge field are investigated using the language of non-Abelian gauge field theory. A special class of these fields that, though a 2×2 matrix, are Abelian are seen to emerge and their general form is given. It is shown that the unitary transformation that gauges away these fields induces at the same time a rotation on the wave function about a fixed axis but with a space-dependent angle, both of which being characteristics of the SOI involved. The experimentally important case of equal-strength Rashba and Dresselhaus SOI (R+D SOI) is shown to fall within this special class of Abelian gauge fields, and the phenomenon of persistent spin helix (PSH) that emerges in the presence of this latter SOI in a plane is shown to fit naturally within the general formalism developed. The general formalism is also extended to the case of a particle confined to a ring. It is shown that the Hamiltonian on a ring in the presence of equal-strength R+D SOI is unitarily equivalent to that of a particle subject to only a spin-independent but $\theta$ -dependent potential with the unitary transformation relating the two being again the space-dependent rotation operator characteristic of R+D SOI.
Starting Page	1
Ending Page	7
Page Count	7
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	132
Issue Number	1
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-01-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Complex Systems Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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