Density-functional theory in strong magnetic fields

G. Vignale and Mark Rasolt
Phys. Rev. Lett. 59, 2360 – Published 16 November 1987; Erratum Phys. Rev. Lett. 62, 115 (1989)
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Abstract

We formulate the current-densityfunctional theory for systems in arbitrarily strong magnetic fields. A set of self-consistent equations comparable to the Kohn-Sham equations for ordinary density-functional theory is derived, and proved to be gauge invariant and to satisfy the continuity equation. We prove that the exchange-correlation energy functional Exc[n,jp] [n(r) is the density and jp(r) is the ‘‘paramagnetic’’ current density] depends on the current via the combination ν(r)=∇×[jp(r)/n(r)]. An explicit formula for Exc is derived, which is local in ν(r).

  • Received 29 June 1987

DOI:https://doi.org/10.1103/PhysRevLett.59.2360

©1987 American Physical Society

Erratum

Density-Functional Theory in Strong Magnetic Fields

G. Vignale and Mark Rasolt
Phys. Rev. Lett. 62, 115 (1989)

Authors & Affiliations

G. Vignale

  • Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6032
  • Department of Physics, University of Tennessee, Knoxville, Tennessee 37996

Mark Rasolt

  • Solid State Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6032

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Issue

Vol. 59, Iss. 20 — 16 November 1987

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