Point-like spin-dependent interaction in calculations of self-energy ladder diagrams

Details Point-like spin-dependent interaction in calculations of self-energy ladder diagrams Point-like spin-dependent interaction in calculations of self-energy ladder diagrams

2006-06-19

arxiv.org/abs/cond-mat/0606489v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 3 figures

Scientific paper

An instantaneous and zero-range spin-dependent interaction, derived by summing an infinite number of electron-hole ladder diagrams within a local approximation, is analyzed as a function of the electron gas density and the relative spin polarization. The strength of such an interaction is defined by an integral of a statically screened Coulomb interaction with a spatially localized weighting factor. This weighting factor represents the mutually uncorrelated motion of an electron-hole pair in singlet or triplet spin states ($S^z=0,\pm1$). An implementation, based on a Yukawa-type interaction with a spin-polarization-dependent Thomas-Fermi screening length, is given.

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