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The quantum integrability is established for the one-dimensional supersymmetric $U$ model with boundary terms by means of the quantum inverse scattering method. The boundary supersymmetric $U$ chain is solved by using the coordinate space…

Strongly Correlated Electrons · Physics 2009-10-30 Yao-Zhong Zhang , Huan-Qiang Zhou

Using one-dimensional spin-orbital model as a typical example of quantum spin systems with richer symmetries, we study the effect of an isolated impurity on its low energy dynamics in the gapless phase through bosonization and…

Strongly Correlated Electrons · Physics 2009-10-31 Yu-Wen Lee , Yu-Li Lee

We construct an integrable Hubbard model with impurity site containing spin and charge degrees of freedom. The Bethe ansatz equations for the Hamiltonian are derived and two alternative sets of equations for the thermodynamical properties.…

Statistical Mechanics · Physics 2019-07-26 Yahya Öz , Andreas Klümper

A t-J model for correlated electrons with impurities is proposed. The impurities are introduced in such a way that integrability of the model in one dimension is not violated. The algebraic Bethe ansatz solution of the model is also given…

Statistical Mechanics · Physics 2009-10-31 Jon Links , Angela Foerster

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…

Condensed Matter · Physics 2009-10-31 Gerald Bedürftig , Holger Frahm

Recently the authors developed a scattering approach that allows for a complete description of the steady-state physics of quantum-impurities in and out of equilibrium. Quantum impurities are described using scattering eigenstates defined…

Strongly Correlated Electrons · Physics 2007-05-23 Pankaj Mehta , Natan Andrei

The Kondo problem of two impurities in 1D strongly correlated electron system within the framework of the open boundary Hubbard chain is solved and the impurities, coupled to the ends of the electron system, are introduced by their…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

We develop a general Bethe Ansatz formalism for diagonalizing an integrable model of a magnetic impurity of arbitrary spin coupled ferro- or antiferromagnetically to a chain of interacting electrons. The method is applied to an open chain,…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Zvyagin , H. Johannesson

New classes of integrable boundary conditions for the q-deformed (or two-parameter) supersymmetric U model are presented. The boundary systems are solved by using the coordinate space Bethe ansatz technique and Bethe ansatz equations are…

Strongly Correlated Electrons · Physics 2009-10-30 Yao-Zhong Zhang , Huan-Qiang Zhou

An integrable version of the supersymmetric U model with open boundary conditions and an impurity situated at one end of the chain is introduced. The model is solved through the algebraic Bethe ansatz method and the Bethe ansatz equations…

Strongly Correlated Electrons · Physics 2009-10-31 A. Foerster , K. E. Hibberd , J. R. Links , I. Roditi

We review some exact results on Kondo impurity systems derived from Bethe-ansatz solutions and boundary conformal field theory with particular emphasis on universal aspects of the phenomenon. The finite-size spectra characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 Satoshi Fujimoto , Norio Kawakami

We introduce an integrable impurity model in which both electrons and impurity have spin and flavour degrees of freedom. This model is a generalization of the multi-channel Kondo model and closely related with resonant tunneling through…

Strongly Correlated Electrons · Physics 2009-10-31 Osamu Tsuchiya , Ikuo Ichinose , Yasuyuki Kayama

Impurities are ubiquitous in condensed matter. Boundary Conformal Field Theory (BCFT) provides a powerful method to study a localized quantum impurity interacting with a gapless continuum of excitations. The results can also be implied to…

Strongly Correlated Electrons · Physics 2009-12-24 Ian Affleck

We study the diagonalization problem of certain discrete quantum integrable models by the method of Baxter's T-Q relation from the algebraic geometry aspect. Among those the Hofstadter type model (with the rational magnetic flux), discrete…

High Energy Physics - Theory · Physics 2009-11-07 Shao-shiung Lin , Shi-shyr Roan

The Bariev model with open boundary conditions is introduced and analysed in detail in the framework of the Quantum Inverse Scattering Method. Two classes of independent boundary reflecting $K$-matrices leading to four different types of…

Strongly Correlated Electrons · Physics 2009-10-31 A. Foerster , X. -W. Guan , J. Links , I. Roditi , H. -Q. Zhou

The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of…

Statistical Mechanics · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

In this work we study the Kondo impurity problem - at a finite concentration of impurities. We identify two parameter regimes for the Kondo impurity problem. 1) The single impurity limit, where the concentration of Kondo impurities is so…

Strongly Correlated Electrons · Physics 2024-10-29 Garry Goldstein

A new integrable model which is a variant of the one-dimensional Hubbard model is proposed. The integrability of the model is verified by presenting the associated quantum R-matrix which satisfies the Yang-Baxter equation. We argue that the…

Strongly Correlated Electrons · Physics 2015-06-24 X. -W. Guan , A. Foerster , J. Links , H. -Q Zhou , A. Prestes Tonel , R. H. McKenzie

We review the non-perturbative theoretical framework set up recently to compute the inelastic scattering cross section from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] and show how it can be…

Strongly Correlated Electrons · Physics 2007-11-27 G. Zarand , L. Borda

We investigate the generalized supersymmetric $t-J$ model with boundary impurities in different gradings. All three different gradings: fermion, fermion, boson (FFB), boson, fermion, fermion (BFF) and fermion, boson, fermion (FBF), are…

Strongly Correlated Electrons · Physics 2009-10-31 Heng Fan , Miki Wadati