Exact solution of new integrable nineteen-vertex models and quantum spin-1 chains

TL;DR

This paper presents exact solutions for new integrable nineteen-vertex models and related spin-1 chains, calculating key physical quantities and discussing their critical behavior and relation to the Haldane system.

Contribution

It introduces new exactly solvable nineteen-vertex models and analyzes their physical properties, including correlation functions and critical phenomena.

Findings

Partition functions and excitation energies are explicitly calculated.

One non-critical Hamiltonian models an integrable Haldane system.

Finite-size spectra of critical models differ from conformal invariance predictions.

Abstract

New exactly solvable nineteen vertex models and related quantum spin-1 chains are solved. Partition functions, excitation energies, correlation lengths, and critical exponents are calculated. It is argued that one of the non-critical Hamiltonians is a realization of an integrable Haldane system. The finite-size spectra of the critical Hamiltonians deviate in their structure from standard predictions by conformal invariance.