Exact solution of the one-dimensional Hubbard model with arbitrary boundary magnetic fields

DOI10.1016/j.nuclphysb.2013.12.004zbMath1284.82022arXiv1311.0432OpenAlexW1965437138MaRDI QIDQ2440306

Kang-jie Shi, Yupeng Wang, Junpeng Cao, Wen-Li Yang, Yuan-Yuan Li

Publication date: 27 March 2014

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0432

zbMATH Keywords

Bethe ansatzHubbard model\(T-Q\) relation

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• The quantum inverse scattering method for Hubbard-like models.
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• Off-diagonal Bethe ansatz solutions of the anisotropic spin-\(\frac{1}{2}\) chains with arbitrary boundary fields
• Partition function of the eight-vertex lattice model
• Lax pair and boundary \(K\)-matrices for the one-dimensional Hubbard model
• Integrable Boundary Conditions for the One-Dimensional Hubbard Model
• An inhomogeneousT-Qequation for the open XXX chain with general boundary terms: completeness and arbitrary spin
• Finite-size corrections in theXXZmodel and the Hubbard model with boundary fields
• Boundary conditions for integrable quantum systems
• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction

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