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arXiv · cond-mat/9805348

Exactly Solvable Fermionic N-chain Models

Ranjan Kumar Ghosh·P. K. Mohanty·Sumathi Rao
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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.

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Ranjan Kumar Ghosh, P. K. Mohanty, Sumathi Rao. 1998-05-27. Exactly Solvable Fermionic N-chain Models. https://doi.org/10.1088/0305-4470%2F32%2F24%2F302

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