Exactly solvable interacting vertex models

Details Exactly solvable interacting vertex models Exactly solvable interacting vertex models

2007-06-14

arxiv.org/abs/0706.2178v1

J. Stat. Mech. P08008 (2007)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 3 figures

Scientific paper

10.1088/1742-5468/2007/08/P08008

We introduce and solvev a special family of integrable interacting vertex models that generalizes the well known six-vertex model. In addition to the usual nearest-neighbor interactions among the vertices, there exist extra hard-core interactions among pair of vertices at larger distances.The associated row-to-row transfer matrices are diagonalized by using the recently introduced matrix product {\it ansatz}. Similarly as the relation of the six-vertex model with the XXZ quantum chain, the row-to-row transfer matrices of these new models are also the generating functions of an infinite set of commuting conserved charges. Among these charges we identify the integrable generalization of the XXZ chain that contains hard-core exclusion interactions among the spins. These quantum chains already appeared in the literature. The present paper explains their integrability.

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