Exact physical quantities of the D₂⁽²⁾ spin chain model with generic open boundary conditions

2025/02/13 by Pengcheng Lu, Junpeng Cao, Wen-Li Yang +2 · 1 voice
Physics and Astronomy · #math-ph

paper · pdf · doi:10.1007/jhep05(2025)137

arxiv published 2025/02/13 · arxiv updated 2025/05/16

Abstract

We study the quantum integrable spin chain model associated with the twisted D₂⁽²⁾ algebra (or simply the D₂⁽²⁾ model) under generic open boundary conditions. The Hamiltonian of this model can be factorized into the sum of two staggered XXZ spin chains. Applying the t-W method, we derive the homogeneous Bethe ansatz equations for the zeros of the transfer matrix eigenvalues and the patterns of the corresponding zeros of the staggered XXZ spin chain with generic integrable boundaries. Based on these results, we analytically compute the surface energies and excitation energies of the D₂⁽²⁾ model in different regimes of boundary parameters.

Discussions

• Pengcheng Lu, Junpeng Cao, Wen-Li Yang, Ian Marquette, Yao-Zhong Zhang: Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions https://arxiv.org/abs/2502.0 [bsky, 0 points, 1 comments]

Related

• Open boundary conditions of the D⁽²⁾₃ spin chain and sectors of conformal field theories
• Factorization identities and algebraic Bethe ansatz for D⁽²⁾₂ models
• "New" boundary conditions in integrable lattice models
• Off-diagonal Bethe ansatz solution of the XXX spin-chain with arbitrary boundary conditions
• The integrable quantum group invariant A_2n-1^(2) and D_n+1^(2) open spin chains