On domain wall boundary conditions for the XXZ spin Hamiltonian

2009/12/02 by Domenico Orlando, Orlando, Domenico, Susanne Reffert +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.0912.0348

openalex publication_date 2009/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we derive the spectrum of the infinite quantum XXZ spin chain with domain wall boundary conditions. The eigenstates are constructed as limits of Bethe states for the finite XXZ spin chain with quantum sl(2) invariant boundary conditions.

Citations

• Boundary conditions for integrable quantum systems

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