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

    Abedinpour, Saeed H.
    Vignale, Giovanni, 1957-
    Tokatly, I. V.
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    [PDF] GaugeInvariantFormulationSpinCurrent.pdf (173.2Kb)
    Date
    2010
    Format
    Article
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    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
    Citation
    Phys. Rev. B 81, 125123 (2010)
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    • Physics and Astronomy publications (MU)

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