The asymmetric six-vertex model

Ciriyam Jayaprakash, A. Sinha

Hans-Peter Eckle, Trong Tuong Truong

David A. Lavis, G. M. Bell

Anton Vladimirovich Zabrodin, Andrei Vladimirovich Zotov, Andrii Nikolaevich Liashyk +1 more

We discuss the correspondence between models solved by the Bethe ansatz and classical integrable systems of the Calogero type. We illustrate the correspondence by the simplest example of the inhomogeneous asymmetric six-vertex model parameterized by trigonometric (hyperbolic) functions.

David A. Lavis, G. M. Bell

Marcio Jose Martins

We present an algebraic Bethe ansatz for certain submanifolds of the bilayer vertex models proposed by Shiroishi and Wadati as coupled asymmetric six-vertex free-fermion models. A peculiar feature of our formulation is the presence of a diagonal monodromy matrix element that does not generate unwanted terms. The model contains two free-parameters entering into the Bethe ansatz equations as a pure phase factor.