The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties

TL;DR

This paper analyzes an effective Hamiltonian in the strong-coupling limit of the spin-1/2 XXZ model, revealing integrability, jammed states, and ground state properties using Bethe Ansatz methods.

Contribution

It introduces a solvable effective Hamiltonian for the XXZ model in a specific limit, highlighting jammed states and their stability, which was not previously characterized.

Findings

Complete solution via coordinate Bethe Ansatz

Existence of exponentially many jammed states

Estimation of their stability under corrections

Abstract

We study an effective Hamiltonian generating time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. To leading order, it describes an integrable model with local interactions. We solve it completely by means of a coordinate Bethe Ansatz that manifestly breaks the translational symmetry. We demonstrate the existence of exponentially many jammed states and estimate their stability under the leading correction to the effective Hamiltonian. Some ground state properties of the model are discussed.