Point-like spin-dependent interaction in calculations of self-energy ladder diagrams
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2006
- DOI:
- 10.48550/arXiv.cond-mat/0606489
- arXiv:
- arXiv:cond-mat/0606489
- Bibcode:
- 2006cond.mat..6489N
- Keywords:
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- Condensed Matter - Other
- E-Print:
- 5 pages, 3 figures