One parameter family of an integrable $spl(2|1)$ vertex model : Algebraic Bethe ansatz approach and ground state structure

TL;DR

This paper solves an $spl(2|1)$ vertex model exactly using algebraic Bethe ansatz, analyzes its ground state, and suggests a phase transition for specific parameter values.

Contribution

It provides the first exact solution of a parameter-dependent $spl(2|1)$ vertex model via algebraic Bethe ansatz and explores its ground state properties.

Findings

Ground state structure characterized.

Evidence of Pokrovsky-Talapov transition.

Exact solution via algebraic Bethe ansatz.

Abstract

We formulate in terms of the quantum inverse scattering method the exact solution of a $spl(2|1)$ invariant vertex model recently introduced in the literature. The corresponding transfer matrix is diagonalized by using the algebraic (nested) Bethe ansatz approach. The ground state structure is investigated and we argue that a Pokrovsky-Talapov transition is favored for certain value of the 4-dimensional $spl(2|1)$ parameter.