Exactly Solvable Fermionic N-chain Models
Statistical Mechanics
2010-09-16 v1 Strongly Correlated Electrons
Abstract
Motivated by the problem of N coupled Hubbard chains, we investigate a generalisation of the Schulz-Shastry model containing two species of one-dimensional fermions interacting via a gauge field that depends on the positions of all the particles of the other species. The exact many body ground state of the model can be easily obtained through a unitary transformation of the model. The correlation functions are Luttinger-like - i.e., they decay through power laws with non-integer exponents. Through the interaction dependent correlation functions of the two-particle operators, we identify the relevant perturbations and hence, possible instabilities.
Cite
@article{arxiv.cond-mat/9805348,
title = {Exactly Solvable Fermionic N-chain Models},
author = {Ranjan Kumar Ghosh and P. K. Mohanty and Sumathi Rao},
journal= {arXiv preprint arXiv:cond-mat/9805348},
year = {2010}
}
Comments
10 pages, 1 eps figure, Latex