Exact and Monte Carlo studies of Gutzwiller's state for the localised-electron limit in one dimension

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, , Citation P Horsch and T A Kaplan 1983 J. Phys. C: Solid State Phys. 16 L1203 DOI 10.1088/0022-3719/16/35/002

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1 Max-Planck-Inst. fur Festkorperforschung, Stuttgart, West Germany

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0022-3719/16/35/L1203

Abstract

Exact calculations of the spin-spin correlation function qj in the localised-electron limit of Gutzwiller's (1963, 1965) variational approximation to the Hubbard-model group state, for rings with numbers of electrons N=4(2)18, strongly suggest that qj varies as (-)j/j at large separation j between the spins. Monte Carlo calculations for N up to 100 reproduce this behaviour.

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