International Journal of Modern Physics B

THE HUBBARD U=∞ MODEL IN ONE DIMENSION - THE SLAVE BOSON METHOD AS ALTERNATIVE BOSONIZATION SCHEME

D. Schmeltzer

Published Jan 1, 1991• 2 citations

Abstract

The Hubbard U=∞ in one dimension is equivalent to a non-interacting spinless fermion in a gauge field. The gauge field induced by spin fluctuations is described by a gas of instantons. This gas is in the plasma phase which leads to the decoupling of spin and charge at large distances.

DOI: 10.1142/s0217979291000043

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International Journal of Modern Physics B

THE HUBBARD U=∞ MODEL IN ONE DIMENSION - THE SLAVE BOSON METHOD AS ALTERNATIVE BOSONIZATION SCHEME

D. Schmeltzer

Published Jan 1, 1991• 2 citations

Publisher

Abstract

DOI: 10.1142/s0217979291000043

Related papers

HubbardU=∞ model in one dimension: The slave-boson method as an alternative bosonization scheme

D. Schmeltzer

Physical review. B, Condensed matterApr 1, 199118 citations

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Mardani, Masoud, Mohammad-Sadegh Vaezi, Abolhassan Vaezi

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Jan 1, 20014 citations

U_c ~ 3 t_1

. Several aspects of the slave spin method, its gauge theory and various possible mean-field states associated with this approach have been discussed.

{\mathit{U}}_{\mathit{c}}

${)}^{\mathrm{\ensuremath{\alpha}}}$, where

{\mathit{U}}_{\mathit{c}}

is the critical value of the on-site interaction and the exponent \ensuremath{\alpha} is 1 and 1/2 for 2 and 3 dimensions, respectively. \textcopyright{} 1996 The American Physical Society.

U

. The spin disordered state is described by gapped fermions coupled to compact U(1) gauge field. We study the confinement/deconfinement problem of the U(1) gauge theory due to the instantons proliferation. We calculate all allowed instanton terms and compute their quantum numbers. It is shown that the meanfield spin disordered phase is unstable. The instantons proliferation induce a translation symmetry breaking.