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

Excitations in the integrable model with two- and three-particle interactions

R. Z. Bariev

Published May 21, 1992• 16 citations
Publisher

Abstract

Excitations in the integrable model with two- and three-particle interactions are calculated on the basis of the Bethe ansatz equations obtained in a previous paper. It is shown that the model exhibits two kinds of excitations, one connected with the massless particle-hole excitations, the other with massive excitations corresponding to the collective motion of the pseudoparticles.

DOI
10.1088/0305-4470/25/10/005

Related papers

Complex excitations in the thermodynamic Bethe-anzatz approach

Marcio Jose Martins

We relate the complex solutions of the thermodynamic Bethe-ansatz equations to the excited states in factorizable massive models. This approach permits one to recover exactly the ultraviolet behavior of these excitations. In order to illustrate our method we consider several unitary and nonunitary integrable models. We also comment on the calculation of critical exponents in massless integrable models.

Physical Review Letters•Jul 22, 1991•53 citations

Integrable spin chain with two- and three-particle interactions

R. Z. Bariev

The one-dimensional model which consists of two isotropic XY chains with spins S=1/2 coupled by three-spin interactions is considered with the help of the Bethe ansatz. It is shown that the diagonalization of the Hamiltonian can be reduced to solving a set of coupled nonlinear equations. The exact solution of these equations corresponding to the ground state of system is obtained. The model considered exhibits a ground state of Anderson type with the finite magnetization along the quantization axis.

Advanced series in mathematical physics•May 1, 1994•0 citations

Integrable spin chain with two- and three-particle interactions

R. Z. Bariev

The one-dimensional model which consists of two isotropic XY chains with spins S=1/2 coupled by three-spin interactions is considered with the help of the Bethe ansatz. It is shown that the diagonalization of the Hamiltonian can be reduced to solving a set of coupled nonlinear equations. The exact solution of these equations corresponding to the ground state of system is obtained. The model considered exhibits a ground state of Anderson type with the finite magnetization along the quantization axis.

Journal of Physics A Mathematical and General•May 21, 1991•92 citations

Boson–fermion model with two-body interactions: Exact results

Y. Wang, Fu‐Cho Pu

A one-dimensional boson–fermion model with two-body interactions between the two types of chiral fermions is considered. It is shown that the model is exactly soluble and the general Bethe eigenstates are constructed. On the basis of the Bethe ansatz equations, the ground state, the low lying elementary excitations, and the thermodynamics are also given in some closed integral equations.

Journal of Mathematical Physics•Nov 1, 1996•0 citations

Pseudoparticle-operator description of an interacting bosonic gas

A. H. Castro Neto, H. Q. Lin, Y.-H. Chen +1 more

We write the Hamiltonian of the Bose gas with two-body repulsive \ensuremath{\delta}-function potential in a pseudoparticle-operator basis which diagonalizes the problem via the Bethe ansatz. In this operator basis the original bosonic interactions are represented by zero-momentum forward-scattering interactions between Landau-liquid pseudoparticles. We find that this pseudoparticle-operator algebra is complete: all the Hamiltonian eigenstates are generated by acting pseudoparticle operators on the system vacuum. It is shown that one boson of vanishing momentum and energy is a composite of a one-pseudoparticle excitation and a collective pseudoparticle excitation. These excitations have finite opposite momenta and cannot be decomposed. Our formalism enables us to calculate the various quantities that characterize the static and dynamic behavior of the system at low energies.

arXiv:cond-mat/9406044•Physical review. B, Condensed matter•Nov 15, 1994•26 citations

Excitation spectrum and critical exponents of a one-dimensional integrable model of fermions with correlated hopping

R. Z. Bariev, Andreas Klümper, Andreas Schadschneider +1 more

We investigate the excitation spectrum of a model of N colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like excitations which have a gap. Using general predictions of conformal field theory the long distance behaviour of some ground state correlation functions are derived from a finite-size analysis of the gapless excitations. From the algebraic decay we show that for increasing particle density the correlation of so-called N-multiplets of particles dominates over the density-density correlation. This indicates the presence of bound complexes of these N-multiplets. This picture is also supported by the calculation of the effective mass of charge carriers.

arXiv:cond-mat/9306018•Journal of Physics A Mathematical and General•Oct 7, 1993•33 citations
Excitations in the integrable model with two- and three-particle interactions are calculated on the basis of the Bethe ansatz equations obtained in a previous paper. It is shown that the model exhibits two kinds of excitations, one connected with the massless particle-hole excitations, the other with massive excitations corresponding to the collective motion of the pseudoparticles.
The one-dimensional model which consists of two isotropic XY chains with spins S=1/2 coupled by three-spin interactions is considered with the help of the Bethe ansatz. It is shown that the diagonalization of the Hamiltonian can be reduced to solving a set of coupled nonlinear equations. The exact solution of these equations corresponding to the ground state of system is obtained. The model considered exhibits a ground state of Anderson type with the finite magnetization along the quantization axis.
The one-dimensional model which consists of two isotropic XY chains with spins S=1/2 coupled by three-spin interactions is considered with the help of the Bethe ansatz. It is shown that the diagonalization of the Hamiltonian can be reduced to solving a set of coupled nonlinear equations. The exact solution of these equations corresponding to the ground state of system is obtained. The model considered exhibits a ground state of Anderson type with the finite magnetization along the quantization axis.
We write the Hamiltonian of the Bose gas with two-body repulsive \ensuremath{\delta}-function potential in a pseudoparticle-operator basis which diagonalizes the problem via the Bethe ansatz. In this operator basis the original bosonic interactions are represented by zero-momentum forward-scattering interactions between Landau-liquid pseudoparticles. We find that this pseudoparticle-operator algebra is complete: all the Hamiltonian eigenstates are generated by acting pseudoparticle operators on the system vacuum. It is shown that one boson of vanishing momentum and energy is a composite of a one-pseudoparticle excitation and a collective pseudoparticle excitation. These excitations have finite opposite momenta and cannot be decomposed. Our formalism enables us to calculate the various quantities that characterize the static and dynamic behavior of the system at low energies.
We investigate the excitation spectrum of a model of N colour fermions with correlated hopping which can be solved by a nested Bethe ansatz. The gapless excitations of particle-hole type are calculated as well as the spin-wave like excitations which have a gap. Using general predictions of conformal field theory the long distance behaviour of some ground state correlation functions are derived from a finite-size analysis of the gapless excitations. From the algebraic decay we show that for increasing particle density the correlation of so-called N-multiplets of particles dominates over the density-density correlation. This indicates the presence of bound complexes of these N-multiplets. This picture is also supported by the calculation of the effective mass of charge carriers.