Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction
Condensed Matter
2016-08-14 v1
Abstract
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.
Cite
@article{arxiv.cond-mat/9405013,
title = {Exact Solution of a One-Dimensional Multicomponent Lattice Gas with Hyperbolic Interaction},
author = {Bill Sutherland and Rudolf A. Römer and B. Sriram Shastry},
journal= {arXiv preprint arXiv:cond-mat/9405013},
year = {2016}
}
Comments
13 REVTeX pages + 5 uuencoded figures, UoU-0030594