Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

Details Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction

1994-05-06

arxiv.org/abs/cond-mat/9405013v1

Physics

Condensed Matter

13 REVTeX pages + 5 uuencoded figures, UoU-0030594

Scientific paper

10.1103/PhysRevLett.73.2154

We present the exact solution to a one-dimensional multicomponent quantum lattice model interacting by an exchange operator which falls off as the inverse-sinh-square of the distance. This interaction contains a variable range as a parameter, and can thus interpolate between the known solutions for the nearest-neighbor chain, and the inverse-square chain. The energy, susceptibility, charge stiffness and the dispersion relations for low-lying excitations are explicitly calculated for the absolute ground state, as a function of both the range of the interaction and the number of species of fermions.

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