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Journal of Statistical Physics

Monte Carlo calculation of the thermodynamic properties of a one-dimensional fermion lattice model

Hans A. De Raedt, Ad Lagendijk

Published Apr 1, 1982• 13 citations
Publisher
DOI
10.1007/bf01013445

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The Feynman path-integral formalism is used to calculate the thermodynamic properties of a one-dimensional (1D) spinless fermion model with nearest- and next-nearest-neighbor interaction. The mapping of this 1D quantum model on a two-dimensional classical model allows the use of a Monte Carlo method to calculate the properties of long chains. We present results for typical values of the interaction parameters, density, and temperature. We find that a finite bandwidth smears out the details of the classical ground-state configurations discussed by Hubbard. If the density $\ensuremath{\rho}\ensuremath{\ne}\frac{1}{2}$, we find that the static structure factor and the static susceptibility display a maximum at 2kF2{k}_{F}2kF​ only when the next-nearest-neighbor interaction is nonzero.