Bethe Ansatz solution of a new class of Hubbard-type models
arXiv:cond-mat/9812317 · doi:10.1088/0305-4470/33/9/101
Abstract
We define one-dimensional particles with generalized exchange statistics. The exact solution of a Hubbard-type Hamiltonian constructed with such particles is achieved using the Coordinate Bethe Ansatz. The chosen deformation of the statistics is equivalent to the presence of a magnetic field produced by the particles themselves, which is present also in a ``free gas'' of these particles.
arXiv comment4 pages, revtex. Essentially modified version
References in corpus (6)
- One-Dimensional Fermi liquids
- The Quantum Inverse Scattering Method for Hubbard-like Models
- One-Dimensional XXZ Model for Particles Obeying Fractional Statistics
- A new class of exactly solvable interacting fermion models in one dimension
- The su(N) Hubbard model
- On Quantum Groups in the Hubbard Model with Phonons
Cited by in corpus (13)
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
- Anyonic tight-binding models of parafermions and of fractionalized fermions
- Exact solution of generalized Schulz-Shastry type models
- One-body reduced density matrix of trapped impenetrable anyons in one dimension
- Off-diagonal correlations in one-dimensional anyonic models: A replica approach
- Fermionic long range correlations realized by particles obeying deformed statistics
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. III. Large distance asymptotics of the space correlations
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. IV. Large Time and Distance Asymptotic Behavior of the Correlation Functions
- Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
- Dualities for anyons
- Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
- Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases