arXiv:2407.21258 · Journal of High Energy Physics

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Pengcheng Lu, Junpeng Cao, Wen‐Li Yang, Ian Marquette, Yao-Zhong Zhang

Published Feb 13, 2025• 1 citation

Abstract

A bstract The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra U q ( $$ {A}_2^{(2)} $$ A 2 2 ) symmetry. Applying the t - W method, we derive the homogeneous zeroes Bethe ansatz equations and the corresponding zeroes patterns of the Izergin-Korepin model with generic integrable boundaries. Based on these results, we analytically compute the surface energies and boundary excitations in different regimes of boundary parameters of the model. It is shown that in some regimes, correlation effect appears between two boundary fields.

DOI: 10.1007/jhep02(2025)087

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arXiv:2407.21258 · Journal of High Energy Physics

Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields

Pengcheng Lu, Junpeng Cao, Wen‐Li Yang, Ian Marquette, Yao-Zhong Zhang

Published Feb 13, 2025• 1 citation

arXiv HTML PDF

Abstract

A bstract The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra U q (

{A}_2^{(2)}

A 2 2 ) symmetry. Applying the t - W method, we derive the homogeneous zeroes Bethe ansatz equations and the corresponding zeroes patterns of the Izergin-Korepin model with generic integrable boundaries. Based on these results, we analytically compute the surface energies and boundary excitations in different regimes of boundary parameters of the model. It is shown that in some regimes, correlation effect appears between two boundary fields.

DOI: 10.1007/jhep02(2025)087

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Exact physical quantities of the ${D}_2^{(2)}$ spin chain model with generic open boundary conditionsExact physical quantities of the $$ {D}_2^{(2)} $$ spin chain model with generic open boundary conditions

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A bstract We study the quantum integrable spin chain model associated with the twisted ${D}_2^{(2)}$ D 2 2 algebra (or simply the ${D}_2^{(2)}$ D 2 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 ${D}_2^{(2)}$ D 2 2 model in different regimes of boundary parameters.A bstract We study the quantum integrable spin chain model associated with the twisted $$ {D}_2^{(2)} $$ D 2 2 algebra (or simply the $$ {D}_2^{(2)} $$ D 2 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 $$ {D}_2^{(2)} $$ D 2 2 model in different regimes of boundary parameters.

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A bstract The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra U q (

{A}_2^{(2)}

Exact physical quantities of the

{D}_2^{(2)}

spin chain model with generic open boundary conditions

A bstract We study the quantum integrable spin chain model associated with the twisted

{D}_2^{(2)}

D 2 2 algebra (or simply the

{D}_2^{(2)}

D 2 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

{D}_2^{(2)}

D 2 2 model in different regimes of boundary parameters.

N

even in the thermodynamic limit $N\ensuremath{\rightarrow}\ensuremath{\infty}$. For the gapless case, contributions of the two boundary fields to the surface energy are additive due to the absence of long-range correlation in the bulk. Although the

U(1)

symmetry of the system is broken, exact spinonlike excitations, which obviously do not carry spin-

\frac{1}{2}

, are observed. The present method provides a universal procedure to deal with quantum integrable systems either with or without

U(1)

symmetry.