Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid

Details Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid

2004-04-14

arxiv.org/abs/cond-mat/0404325v1

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.70.235118

The high frequency limits of the singular component $A(\omega)$ of the small wavevector expansion of the longitudinal (L) and transverse (T) components of the spin-resolved exchange-correlation kernel tensor $f_{xc,\sigma \sigma'}^{L,T}(q,\omega)=-v(q)G_{\sigma \sigma'}^{L,T}(q,\omega)$ in a two-dimensional isotropic electron liquid with arbitrary spin polarization are studied. Here $G_{\sigma \sigma'}^{L,T}(q,\omega)$ is the spin-resolved local field factor, $v(q)$ is the Coulomb interaction in momentum space, and $\sigma$ denotes spin. Particularly, the real part of $A(\omega)$ is found to be logarithmically divergent at large $\omega$. the large wavevetor structure of the corresponding spin-resolved static structure factor is also established.

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