Gapless Excitation above a Domain Wall Ground State in a Flat Band Hubbard Model

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dc.creatorHomma, Makoto
dc.creatorItoi, Chigak
dc.date2004-05-18
dc.date2004-12-09
dc.date.accessioned2026-07-07T02:58:13Z
dc.date.available2026-07-07T02:58:13Z
dc.descriptionWe construct a set of exact ground states with a localized ferromagnetic domain wall and with an extended spiral structure in a deformed flat-band Hubbard model in arbitrary dimensions. We show the uniqueness of the ground state for the half-filled lowest band in a fixed magnetization subspace. The ground states with these structures are degenerate with all-spin-up or all-spin-down states under the open boundary condition. We represent a spin one-point function in terms of local electron number density, and find the domain wall structure in our model. We show the existence of gapless excitations above a domain wall ground state in dimensions higher than one. On the other hand, under the periodic boundary condition, the ground state is the all-spin-up or all-spin-down state. We show that the spin-wave excitation above the all-spin-up or -down state has an energy gap because of the anisotropy.
dc.description26 pages, 1 figure. Typos are fixed
dc.identifierhttps://arxiv.org/abs/cond-mat/0405388
dc.identifierhttp://arxiv.org/abs/cond-mat/0405388
dc.identifierJ. Stat. Phys. 119 (2005) 391--425.
dc.identifierdoi:10.1007/s10955-004-2723-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23988
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleGapless Excitation above a Domain Wall Ground State in a Flat Band Hubbard Model
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