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25 April 2024
 
  » arxiv » cond-mat/9805348

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Exactly Solvable Fermionic N-chain Models
Ranjan Kumar Ghosh ; P. K. Mohanty ; Sumathi Rao ;
Date 27 May 1998
Subject Statistical Mechanics; Strongly Correlated Electrons | cond-mat.stat-mech cond-mat.str-el
AbstractMotivated 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.
Source arXiv, cond-mat/9805348
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