Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and General

New integrable generalization of the one-dimensional model

Francisco Castilho Alcaraz, R. Z. Bariev

Published Mar 27, 1998• 6 citations
Publisher

Abstract

A new generalization of the t - J model with a nearest-neighbour hopping is formulated and solved exactly by the Bethe ansatz method in the thermodynamic limit. The model describes the dynamics of fermions with different spins and with isotropic and anisotropic interactions.
DOI
10.1088/0305-4470/31/12/001

Related papers

New Integrable Generalization of the One-Dimensional t-J Model

Francisco Castilho Alcaraz, R. Z. Bariev

A new generalization of the t-J model with a nearest-neigbour hopping is formulated and solved exactly by the Bethe-ansatz method in the thermodymanic limit. The model describes the dymanics of fermions with different spins and with isotropic and anisotropic interactions.

arXiv:cond-mat/9706301•Jun 30, 1997•0 citations

Exact solution of the biquadratic spin-1 t−J model in one dimension

Francisco Castilho Alcaraz, R. Z. Bariev

A generalization of the $t\ensuremath{-}J$ model with a nearest-neighbor hopping is formulated and solved exactly by the Bethe ansatz method. The model describes the dynamics of spin-$S$ fermions with isotropic or anisotropic interactions. In the case $S=1$ the magnetic interaction is biquadratic in the spin operators. In contrast to the $\mathrm{SU}(N)$ generalization of the $t\ensuremath{-}J$ model, studied previously in the literature, the present model possesses beyond a massless excitation also a massive one. The physical properties indicate the existence of Cooper-type pairs with finite binding energy.

arXiv:cond-mat/9706228•Physical review. B, Condensed matter•Oct 1, 1997•3 citations

Thermodynamics of the degenerate supersymmetric t-J model in one dimension

P. Schlottmann

The one-dimensional SU(N)-invariant t-J model consists of electrons with N spin components on a lattice with nearest-neighbour hopping and spin exchange J. The multiple occupancy of the lattice sites is excluded. The model is integrable at the supersymmetric point, t=J. The discrete Bethe ansatz equations are analysed and the solutions are classified according to the string hypothesis. The thermodynamic Bethe ansatz equations are derived for arbitrary band filling in terms of thermodynamic energy potentials for the classes of eigenstates of the Hamiltonian. These equations are solved in limiting cases, e.g., S=1/2, the ground state and the high-temperature limit. If the charge fluctuations are suppressed the Bethe ansatz equations map onto those of the SU(N)-invariant Heisenberg chain.

Journal of Physics Condensed Matter•Sep 14, 1992•21 citations

A New Integrable Two-Parameter Model of Strongly Correlated Electrons in One Dimension

R. Z Bariev, A Klümper, J Zittartz

A new one-dimensional fermion model depending on two independent interaction parameters is formulated and solved exactly by the Bethe-ansatz method. The Hamiltonian of the model contains the Hubbard interaction and correlated hopping as well as pair hopping terms. The density-density and pair correlations are calculated which manifest superconducting properties in certain regimes of the phase diagram.

arXiv:cond-mat/9504114•Europhysics Letters (EPL)•Oct 1, 1995•71 citations

Integrable fermion model with hopping integrals for many particle configurations

Igor N. Karnaukhov

One parametric one-dimensional spinless fermion models is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian contains the kinetic terms describing nearest-neighbor hopping of electrons with different hopping integrals for many particle configurations. The Luttinger liquid behavior is studied for the case repulsion effective interactions. The ground state energy, the critical exponent, describing the asymptotic behavior of the density-density correlation function at long distances, the Fermi velocity have been calculated numerically for an arbitrary density of electrons. The model displays the condensation of particles in the case of the attractive interaction.

Journal de Physique IV (Proceedings)•Mar 1, 2000•0 citations

Integrable fermion model with hopping integrals for many-particle configurations

Igor N. Karnaukhov

One parametric one-dimensional spinless fermion model is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian contains the kinetic terms describing nearest-neighbor hopping of electrons with different hopping integrals for many-particle configurations. The Luttinger liquid behavior is studied for the case repulsion effective interaction. The ground-state energy, the critical exponent, describing the asymptotic behavior of the density-density correlation function at long distances, the Fermi velocity have been calculated numerically for an arbitrary density of electrons. The model displays the condensation of particles in the case of the attractive interaction.

Physical review. B, Condensed matter•Dec 15, 1999•1 citation
A generalization of the $t\ensuremath{-}J$ model with a nearest-neighbor hopping is formulated and solved exactly by the Bethe ansatz method. The model describes the dynamics of spin-SSS fermions with isotropic or anisotropic interactions. In the case S=1S=1S=1 the magnetic interaction is biquadratic in the spin operators. In contrast to the SU(N)\mathrm{SU}(N)SU(N) generalization of the $t\ensuremath{-}J$ model, studied previously in the literature, the present model possesses beyond a massless excitation also a massive one. The physical properties indicate the existence of Cooper-type pairs with finite binding energy.
The one-dimensional SU(N)-invariant t-J model consists of electrons with N spin components on a lattice with nearest-neighbour hopping and spin exchange J. The multiple occupancy of the lattice sites is excluded. The model is integrable at the supersymmetric point, t=J. The discrete Bethe ansatz equations are analysed and the solutions are classified according to the string hypothesis. The thermodynamic Bethe ansatz equations are derived for arbitrary band filling in terms of thermodynamic energy potentials for the classes of eigenstates of the Hamiltonian. These equations are solved in limiting cases, e.g., S=1/2, the ground state and the high-temperature limit. If the charge fluctuations are suppressed the Bethe ansatz equations map onto those of the SU(N)-invariant Heisenberg chain.
One parametric one-dimensional spinless fermion models is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian contains the kinetic terms describing nearest-neighbor hopping of electrons with different hopping integrals for many particle configurations. The Luttinger liquid behavior is studied for the case repulsion effective interactions. The ground state energy, the critical exponent, describing the asymptotic behavior of the density-density correlation function at long distances, the Fermi velocity have been calculated numerically for an arbitrary density of electrons. The model displays the condensation of particles in the case of the attractive interaction.
One parametric one-dimensional spinless fermion model is formulated and solved exactly by the Bethe ansatz method. The Hamiltonian contains the kinetic terms describing nearest-neighbor hopping of electrons with different hopping integrals for many-particle configurations. The Luttinger liquid behavior is studied for the case repulsion effective interaction. The ground-state energy, the critical exponent, describing the asymptotic behavior of the density-density correlation function at long distances, the Fermi velocity have been calculated numerically for an arbitrary density of electrons. The model displays the condensation of particles in the case of the attractive interaction.