A new class of exactly solvable interacting Fermion models in one dimension

Schulz, H. J. ; Sriram Shastry, B. (1998) A new class of exactly solvable interacting Fermion models in one dimension Physical Review Letters, 80 (9). pp. 1924-1927. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v80/i9/p1924_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.80.1924

Abstract

We investigate a model containing two species of one-dimensional fermions interacting via a gauge field determined by the positions of all particles of the opposite species. The model can be solved exactly via a simple unitary transformation. Nevertheless, correlation functions exhibit nontrivial interaction-dependent exponents. A similar model defined on a lattice is introduced and solved. Various generalizations, e.g., to the case of internal symmetries of the fermions, are discussed. The present treatment also clarifies certain aspects of Luttinger's original solution of the "Luttinger model."

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:51256
Deposited On:28 Jul 2011 07:19
Last Modified:18 May 2016 05:16

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