Thermodynamic limit and boundary energy of the spin-1 Heisenberg chain with non-diagonal boundary fields

2022/02/22 by Zhihan Zheng, Pei Sun, Xiaotian Xu +4
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Antiferromagnetism #Bethe ansatz #Boundary (topology) #Boundary value problem #Density matrix renormalization group #Diagonal #Geometry #Heisenberg model #Isotropy #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Spin (aerodynamics) #Thermodynamic limit #Thermodynamics #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.21468/scipostphys.12.2.071

published as SciPost Phys. 12, 071 (2022) · 26 pages, 4 figures

openalex created_date 2021/08/16 · openalex publication_date 2022/02/22 · arxiv created 2022/03/04 · arxiv updated 2022/03/07 · openalex updated_date 2026/08/05

Abstract

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the T-Q relation at the ground state are calculated by the density matrix renormalization group. Based on our findings, the boundary energy of the system in the thermodynamic limit can be obtained from Bethe ansatz equations of a related model with parallel boundary fields. These results can be generalized to the SU(2) symmetric high spin Heisenberg model directly.

Citations

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