Abstract
We determine the zero-temperature properties of a one-dimensional lattice gas of particles that interact via a nearest neighbor exclusion potential and are subject to a random external field. The model is a special limiting case of the random field Ising chain. We calculate (1) the energy and density of the ground state as well as the local energy-density correlation and (2) the pair correlation function. The latter calculation gives access to all higher order correlations. The structure factor is shown to be a squared Lorentzian. We also compare the ground state to the quenched state obtained by sequentially filling the lowest available energy levels.
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Fonk, Y., Hilhorst, H.J. Ground-state and quenched-state properties of a one-dimensional interacting lattice gas in a random potential. J Stat Phys 49, 1235–1254 (1987). https://doi.org/10.1007/BF01017569
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DOI: https://doi.org/10.1007/BF01017569