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

Zhixin Qian
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Abstract

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

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Zhixin Qian. 2004-04-14. Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquid. https://doi.org/10.1103/physrevb.70.235118

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