The Hubbard Model, Spinless Fermions, and Ising Spins

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dc.creatorZiegler, Klaus
dc.date2000-05-31
dc.date.accessioned2026-07-07T02:37:47Z
dc.date.available2026-07-07T02:37:47Z
dc.descriptionThe Hubbard model is used to study an electronic system at half filling. Starting from a functional integral representation the spin-up Grassmann field is integrated out. It is shown that the resulting spinless fermion theory has an instantaneous cluster interaction, and that the spinless fermions are coupled to thermally fluctuating Ising spins. The coupling parameter of the spinless fermion interaction is a product of the Hubbard interaction and the hopping rate. As an example the strongly metallic as well as the strongly insulating regime are investigated in terms of the effective Ising statistics.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0005537
dc.identifierhttp://arxiv.org/abs/cond-mat/0005537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16424
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleThe Hubbard Model, Spinless Fermions, and Ising Spins
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