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

arXiv:cond-mat/9903202 · Journal of Physics A Mathematical and General

Opent-Jchain with boundary impurities

Gerald Bedürftig, Holger Frahm

Published Jan 1, 1999• 40 citations
arXivHTMLPDF

Abstract

We study integrable boundary conditions for the supersymmetric t - J model of correlated electrons which arise when combining static scattering potentials with dynamical impurities carrying an internal degree of freedom. The latter differ from the bulk sites by allowing for double occupation of the local orbitals. The spectrum of the resulting Hamiltonians is obtained by means of the algebraic Bethe ansatz.

DOI
10.1088/0305-4470/32/25/302

Related papers

Integrable Kondo impurities in the one-dimensional supersymmetricUmodel of strongly correlated electrons

Huan-Qiang Zhou, Xiangyu Ge, M. D. Gould

Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons are studied by means of the boundary graded quantum inverse scattering method. The boundary K -matrices depending on the local magnetic moments of the impurities are presented as non-trivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, the model Hamiltonian is diagonalized and the Bethe ansatz equations are derived. It is interesting to note that our model exhibits a free parameter in the bulk Hamiltonian but no free parameter exists on the boundaries. This is in sharp contrast to the impurity models arising from the supersymmetric t-J and extended Hubbard models where there is no free parameter in the bulk but there is a free parameter on each boundary.

arXiv:cond-mat/9811049•Journal of Physics A Mathematical and General•Jan 1, 1999•7 citations

Integrable supersymmetric t-J model with magnetic impurity

P. Schlottmann, Andrei A. Zvyagin

We consider the one-dimensional t-J model, which consists of spin-1/2 electrons on a lattice with nearest neighbor hopping t constrained by the excluded multiple occupancy of the lattice sites and spin-exchange J between neighboring sites. The model is integrable at the supersymmetric point, J=2t. We extend the model by introducing an impurity of arbitrary spin S that interacts with the electrons on the neighboring sites without destroying the integrability. The lattice model is defined by the scattering matrices via the quantum inverse scattering method. The interaction Hamiltonian between the impurity and the itinerant electrons is only explicitly constructed in the continuum limit. The discrete Bethe ansatz equations diagonalizing the model are derived and the solutions are classified according to the string hypothesis. The thermodynamic Bethe ansatz equations are derived and the impurity free energy is obtained for arbitrary bandfilling as a function of temperature and external magnetic field. The properties of the impurity depend on one coupling parameter. The impurity can localize up to one itinerant electron and has in general mixed valent properties. The integer valent low T small H fixed point of the impurity corresponds to an asymptotically free spin S, while if either T or H (or both) become large the impurity behaves like an asymptotically free spin (S+).

Physical review. B, Condensed matter•Feb 15, 1997•56 citations

New integrable boundary conditions for XXX model with impurities

Xiangyu Ge

A new class of integrable boundary conditions for the XXX model with impurity is presented by means of the boundary quantum inverse scattering method. The Hamiltonian with impurity is constructed and the diagonal boundary K -matrices depending on the spins of the electrons are found. The boundary system is solved by using the algebraic Bethe ansatz technique and the Bethe ansatz equations are derived.

Europhysics Letters (EPL)•Jan 1, 2001•0 citations

Interplay between a quantum impurity and a boundary field in the SUSYt–Jmodel

Holger Frahm, Guillaume Palacios

We study the role of bound states appearing in different formulations of the Bethe ansatz for the supersymmetric t – J model with a boundary potential and an integrable impurity. For special values of the parameters describing the boundary and the impurity the charge fluctuations at the latter vanish. The population of the bound states selects different sectors of the impurity levels leading to integrable Kondo impurities.

arXiv:cond-mat/0703339•Journal of Statistical Mechanics Theory and Experiment•May 9, 2007•0 citations

Exact solution of an electron system combining two differentt-Jmodels

J Abad, M Ríos

A new strongly correlated electron model is presented. This is formed by two types of sites: one where double occupancy is forbidden, as in the t - J model, and the other where double occupancy is allowed but vacancy is not allowed, as in an inverse t - J model. The Hamiltonian shows nearest and next-to-nearest neighbour interactions and it is solved by means of a modified algebraic nested Bethe ansatz. The number of sites where vacancy is not allowed, may be treated as a new parameter if the model is regarded as a t - J model with impurities. The ground and excited states are described in the thermodynamic limit.

arXiv:cond-mat/9806106•Journal of Physics A Mathematical and General•Jan 1, 1999•12 citations

Integrable Kondo impurities in the one-dimensional supersymmetric extended Hubbard model

Huan-Qiang Zhou, Xiangyu Ge, M. D. Gould

An integrable Kondo problem in the one-dimensional supersymmetric extended Hubbard model is studied by means of the boundary graded quantum inverse scattering method. The boundary K -matrices depending on the local moments of the impurities are presented as a non-trivial realization of the graded reflection equation algebras in a two-dimensional impurity Hilbert space. Further, the model is solved by using the algebraic Bethe ansatz method and the Bethe ansatz equations are obtained.

arXiv:cond-mat/9811048•Journal of Physics A Mathematical and General•Jan 1, 1999•5 citations
We study integrable boundary conditions for the supersymmetric t - J model of correlated electrons which arise when combining static scattering potentials with dynamical impurities carrying an internal degree of freedom. The latter differ from the bulk sites by allowing for double occupation of the local orbitals. The spectrum of the resulting Hamiltonians is obtained by means of the algebraic Bethe ansatz.
Integrable Kondo impurities in the one-dimensional supersymmetric U model of strongly correlated electrons are studied by means of the boundary graded quantum inverse scattering method. The boundary K -matrices depending on the local magnetic moments of the impurities are presented as non-trivial realizations of the reflection equation algebras in an impurity Hilbert space. Furthermore, the model Hamiltonian is diagonalized and the Bethe ansatz equations are derived. It is interesting to note that our model exhibits a free parameter in the bulk Hamiltonian but no free parameter exists on the boundaries. This is in sharp contrast to the impurity models arising from the supersymmetric t-J and extended Hubbard models where there is no free parameter in the bulk but there is a free parameter on each boundary.
We consider the one-dimensional t-J model, which consists of spin-1/2 electrons on a lattice with nearest neighbor hopping t constrained by the excluded multiple occupancy of the lattice sites and spin-exchange J between neighboring sites. The model is integrable at the supersymmetric point, J=2t. We extend the model by introducing an impurity of arbitrary spin S that interacts with the electrons on the neighboring sites without destroying the integrability. The lattice model is defined by the scattering matrices via the quantum inverse scattering method. The interaction Hamiltonian between the impurity and the itinerant electrons is only explicitly constructed in the continuum limit. The discrete Bethe ansatz equations diagonalizing the model are derived and the solutions are classified according to the string hypothesis. The thermodynamic Bethe ansatz equations are derived and the impurity free energy is obtained for arbitrary bandfilling as a function of temperature and external magnetic field. The properties of the impurity depend on one coupling parameter. The impurity can localize up to one itinerant electron and has in general mixed valent properties. The integer valent low T small H fixed point of the impurity corresponds to an asymptotically free spin S, while if either T or H (or both) become large the impurity behaves like an asymptotically free spin (S+).
A new strongly correlated electron model is presented. This is formed by two types of sites: one where double occupancy is forbidden, as in the t - J model, and the other where double occupancy is allowed but vacancy is not allowed, as in an inverse t - J model. The Hamiltonian shows nearest and next-to-nearest neighbour interactions and it is solved by means of a modified algebraic nested Bethe ansatz. The number of sites where vacancy is not allowed, may be treated as a new parameter if the model is regarded as a t - J model with impurities. The ground and excited states are described in the thermodynamic limit.