A range three elliptic deformation of the Hubbard model
arXiv:2301.01612 · doi:10.21468/SciPostPhys.15.2.071
Abstract
In this paper we present a new integrable deformation of the Hubbard model. Our deformation gives rise to a range 3 interaction term in the Hamiltonian which does not preserve spin or particle number. This is the first non-trivial medium range deformation of the Hubbard model that is integrable. Our model can be mapped to a new integrable nearest-neighbour model via a duality transformation. The resulting nearest-neighbour model also breaks spin conservation. We compute the -matrices for our models, and find that there is a very unusual dependence on the spectral parameters in terms of the elliptic amplitude.
arXiv comment20 pages, v2: minor changes
References in corpus (27)
- Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
- The Analytic Bethe Ansatz for a Chain with Centrally Extended su(2|2) Symmetry
- Quantum Deformations of the One-Dimensional Hubbard Model
- Planar N=4 Gauge Theory and the Hubbard Model
- Constructing Integrable Lindblad Superoperators
- The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties
- The Bethe ansatz approach for factorizable centrally extended S-matrices
- Exact Drude weight for the one-dimensional Hubbard model at finite temperatures
- Completeness of the SO(4) Extended Bethe Ansatz for the One-Dimensional Hubbard Model
- Spin crossovers and superdiffusion in the one-dimensional Hubbard model
- Exact Solution of an Electronic Model of Superconductivity in 1+1 Dimensions
- Boundary states, overlaps, nesting and bootstrapping AdS/dCFT
- Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
- Generalized Hydrodynamic approach to charge and energy currents in the one-dimensional Hubbard model
- Fermionic representations of integrable lattice systems
- Boundary state bootstrap and asymptotic overlaps in AdS/dCFT
- Generalized hydrodynamics study of the one-dimensional Hubbard model: Stationary clogging and proportionality of spin, charge, and energy currents
- The su(N) Hubbard model
- Interpolation between Hubbard and supersymmetric t-J models. Two-parameter integrable models of correlated electrons
- Integrable quenches in the Hubbard model
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Hubbard-Shastry lattice models
- Integrable spin chains and the Clifford group
- Hubbard Models as Fusion Products of Free Fermions
- An algebraic approach to the Hubbard model
- New integrable extension of the Hubbard chain with variable range hopping
- Including a phase in the Bethe equations of the Hubbard model