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Phys. Rev. B 68, 195113 (2003) [14 pages]

Dynamical exchange-correlation potentials for the electron liquid in the spin channel

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Zhixin Qian and Giovanni Vignale
Department of Physics, University of Missouri, Columbia, Missouri 65211, USA

Received 17 June 2003; published 20 November 2003

The components of the exchange-correlation kernel tensor of an isotropic electron liquid in the spin channel have the structure fxc,-L,T(q,ω)→q⃗0A(ω)/q2+BL,T(ω), where L denotes the longitudinal component and T the transverse component relative to the direction of the wave vector q. In this paper we calculate analytically the high- and low-frequency limits of A(ω) and BL,T(ω) and combine these limiting forms with the Kramers-Krönig dispersion relations to obtain approximations for A(ω) and BL,T(ω) at all frequencies.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.68.195113
DOI:
10.1103/PhysRevB.68.195113
PACS:
71.45.Gm, 71.15.Mb, 71.10.-w