Exactly Solvable Fermionic N-chain Models

Details Exactly Solvable Fermionic N-chain Models Exactly Solvable Fermionic N-chain Models

1998-05-27

arxiv.org/abs/cond-mat/9805348v1

J. Phys. A: Math. Gen. 32, 4343 (1999)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 1 eps figure, Latex

Scientific paper

10.1088/0305-4470/32/24/302

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.

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