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math-ph2025

An integrable Anderson-impurity problem embedded in the one-dimensional Hubbard model

Renjie Song, Mingchen Zheng, Junpeng Cao +1

An exactly solvable one-dimensional Hubbard model with a single Anderson impurity embedded at the boundary is constructed in the framework of the quantum inverse scattering method.…

math-ph2025

Exact physical quantities of the spin chain model with generic open boundary conditions

Pengcheng Lu, Junpeng Cao, Wen-Li Yang +2

We study the quantum integrable spin chain model associated with the twisted algebra (or simply the model) under generic open boundary conditions. The Hamil…

math-ph2025

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

Pengcheng Lu, Junpeng Cao, Wen-Li Yang +2

The Izergin-Korepin model is an integrable model with the simplest twisted quantum affine algebra symmetry. Applying the method, we derive the homogeneous ze…

math-ph2024

Exact solution of a quantum integrable system associated with the exceptional Lie algebra

Guang-Liang Li, Junpeng Cao, Pei Sun +3

A quantum integrable spin chain model associated with the exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused tr…

math-ph2024

Exact physical quantities of the XYZ spin chain in the thermodynamic limit

Zhirong Xin, Junpeng Cao, Wen-Li Yang +1

The thermodynamic limits of the XYZ spin chain with periodic or twisted boundary conditions are studied. By using the technique of characterizing the eigenvalue of the transfer mat…

math-ph2024

Exact surface energy of the Hubbard model with nonparallel boundary magnetic fields

Pei Sun, Yi Qiao, Tao Yang +2

In this study, we explore the precise physical quantities in the thermodynamic limit of the one-dimensional Hubbard model with nonparallel boundary magnetic fields based on the off…