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

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

2004-05-18

arxiv.org/abs/cond-mat/0405388v4

J. Stat. Phys. 119 (2005) 391--425.

Physics

Condensed Matter

Strongly Correlated Electrons

26 pages, 1 figure. Typos are fixed

Scientific paper

10.1007/s10955-004-2723-4

We 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.

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