A Hubbard model with integrable impurity
arXiv:1808.06993 · doi:10.1088/1751-8121/ab2cf4
Abstract
We construct an integrable Hubbard model with impurity site containing spin and charge degrees of freedom. The Bethe ansatz equations for the Hamiltonian are derived and two alternative sets of equations for the thermodynamical properties. For this study, the thermodynamical Bethe ansatz and the quantum transfer matrix approach are used. The latter approach allows for a consistent treatment by use of a finite set of non-linear integral equations. In both cases, TBA and QTM, the contribution of the impurity to the thermodynamical potential is given by integral expressions.
arXiv comment24 pages, 5 figures
References in corpus (8)
- The Quantum Inverse Scattering Method for Hubbard-like Models
- The Hubbard chain at finite temperatures: ab initio calculations of Tomonaga-Luttinger liquid properties
- Thermodynamics and excitations of the one-dimensional Hubbard model
- Scattering Matrix and Excitation Spectrum of the Hubbard Model
- Algebraic Bethe ansatz approach for the one-dimensional Hubbard model
- SU(2)xSU(2) Invariant Scattering Matrix of the Hubbard Model
- Analytic Bethe Ansatz for 1-D Hubbard model and twisted coupled XY model
- Correlation length of the 1D Hubbard Model at half-filling : equal-time one-particle Green's function