Algebraic and Analytic Properties of the One-Dimensional Hubbard Model
arXiv:cond-mat/9610096 · doi:10.1088/0305-4470/30/15/014
Abstract
We reconsider the quantum inverse scattering approach to the one-dimensional Hubbard model and work out some of its basic features so far omitted in the literature. It is our aim to show that -matrix and monodromy matrix of the Hubbard model, which are known since ten years now, have good elementary properties. We provide a meromorphic parametrization of the transfer matrix in terms of elliptic functions. We identify the momentum operator for lattice fermions in the expansion of the transfer matrix with respect to the spectral parameter and thereby show the locality and translational invariance of all higher conserved quantities. We work out the transformation properties of the monodromy matrix under the su(2) Lie algebra of rotations and under the $\h$-pairing su(2) Lie algebra. Our results imply su(2)su(2) invariance of the transfer matrix for the model on a chain with an even number of sites.
30 pages, LaTeX, no figures, paragraph added in the appendix
References in corpus (2)
Cited by in corpus (12)
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- Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model
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- Fermionization and Hubbard Models
- Fermionic R-Operator and Algebraic Structure of 1D Hubbard Model: Its application to quantum transfer matrix
- New integrable extension of the Hubbard chain with variable range hopping