Scattering Matrix and Excitation Spectrum of the Hubbard Model
arXiv:cond-mat/9308004 · doi:10.1103/PhysRevLett.72.908
Abstract
We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S-matrix are determined by the SO(4) symmetry of the model. The complete set of excitations is given by the scattering states four elementary excitations, which form the fundamental representation of SO(4). We evaluate the exact S-matrix, which satisfies the Yang-Baxter relation. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.
8 pages, jyTeX (macro included - just TeX the file) ITP-SB-93-40
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- Exact S-Matrices with Affine Quantum Group Symmetry
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- Pseudoparticle approach to 1D integrable quantum models
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- Spin-charge separated quasiparticles in one dimensional quantum fluids
- Algebraic Solution of the Hubbard Model on the Infinite Interval
- Algebraic and Analytic Properties of the One-Dimensional Hubbard Model
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- Complete Pseudohole and Heavy-Pseudoparticle Operator Representation for the Hubbard Chain
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- Massless integrable quantum field theories and massless scattering in 1+1 dimensions
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- Exactly integrable family of generalized Hubbard models with twisted Yangian symmetry
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- Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
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- A Hubbard model with integrable impurity
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- New integrable extension of the Hubbard chain with variable range hopping
- Ground states of integrable quantum liquids
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