Gauge-invariant formulation of spin-current density-functional theory

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Gauge-invariant formulation of spin-current density-functional theory

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Title: Gauge-invariant formulation of spin-current density-functional theory
Author: Abedinpour, Saeed H.; Vignale, Giovanni, 1957-; Tokatly, I. V.
Keywords: exchange-correlation functionals
spin polarized transport
Date: 2010-03-25
Publisher: American Physical Society
Citation: Phys. Rev. B 81, 125123 (2010)
Abstract: Spin-currents and non-Abelian gauge potentials in electronic systems can be treated by spin-current density-functional theory, whose main input is the exchange-correlation (xc) energy expressed as a functional of spin-currents. Constructing a functional of spin-currents that is invariant under U(1)×SU(2) transformations is a long-standing challenge. We solve the problem by expressing the energy as a functional of a variable we call “invariant vorticity.” As an illustration we construct the xc energy functional for a two- dimensional electron gas with linear spin-orbit coupling and show that it is proportional to the fourth power of the spin-current.
URI: http://hdl.handle.net/10355/7632
ISSN: 1098-0121

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