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Journal of Physics A Mathematical and General

A one-dimensional integrable model of fermions with multi-particle hopping

R. Z. Bariev, Andreas Klümper, Andreas Schadschneider, J. Zittartz

Published May 7, 1995• 14 citations
Publisher

Abstract

A model with both single-particle and multi-particle hopping of electrons on a one-dimensional 'triangular' lattice is formulated and solved exactly by Bethe ansatz. On the basis of the exact calculation of the asymptotic behaviour of correlation functions we find a transition between the normal state and a state with a tendency to 'superconductivity'. The latter state is confined to small densities of electrons up to a critical density rho c .

DOI
10.1088/0305-4470/28/9/007

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We investigate the excitation spectrum of a model of N colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like excitations which have a gap. Using general predictions of conformal field theory the long distance behaviour of some ground state correlation functions are derived from a finite-size analysis of the gapless excitations. From the algebraic decay we show that for increasing particle density the correlation of so-called N-multiplets of particles dominates over the density-density correlation. This indicates the presence of bound complexes of these N-multiplets. This picture is also supported by the calculation of the effective mass of charge carriers.