Anderson-like impurity in the one-dimensional t - J model: Formation of local states and magnetic behavior

We consider an integrable model describing an Anderson-like impurity coupled to an open $t$-$J$ chain. Both the hybridization (i.e., its coupling to bulk chain) and the local spectrum can be controlled without breaking the integrability of the model. As the hybridization is varied, holon and spinon bound states appear in the many body ground state. Based on the exact solution we study the state of the impurity and its contribution to thermodynamic quantities as a function of an applied magnetic field. Kondo behavior in the magnetic response of the impurity can be observed provided that its parameters have been adjusted properly to the energy scales of the holon and spinon excitations of the one-dimensional bulk.

[1]  M. Bortz,et al.  Surface free energy for systems with integrable boundary conditions , 2005, cond-mat/0508377.

[2]  M. Bortz,et al.  Crossover from Anderson-like to Kondo-like behavior : Universality induced by spin-charge separation , 2005, cond-mat/0505570.

[3]  A. Furusaki.  Kondo Problems in Tomonaga–Luttinger Liquids , 2004, cond-mat/0409016.

[4]  H. Frahm,et al.  OPEN T-J CHAIN WITH BOUNDARY IMPURITIES , 1999, cond-mat/9903202.

[5]  A. Tsvelik,et al.  Bosonization and Strongly Correlated Systems , 1999, cond-mat/9909069.

[6]  A. Foerster,et al.  Algebraic properties of an integrable t-J model with impurities , 1999, cond-mat/9901091.

[7]  N. Slavnov,et al.  New solutions to the reflection equation and the projecting method , 1998, cond-mat/9810312.

[8]  M. Gould,et al.  ALGEBRAIC BETHE ANSATZ FOR INTEGRABLE KONDO IMPURITIES IN THE ONE-DIMENSIONAL SUPERSYMMETRIC T-J MODEL , 1998, cond-mat/9809055.

[9]  M. Gould,et al.  Graded reflection equation algebras and integrable Kondo impurities in the one-dimensional t-J model , 1998, cond-mat/9809056.

[10]  A. Zvyagin,et al.  Exact solution for a degenerate Anderson impurity in the limit embedded into a correlated host , 1998 .

[11]  N. Wingreen,et al.  Tunneling into a single magnetic atom: spectroscopic evidence of the kondo resonance , 1998, Science.

[12]  B. Delley,et al.  Kondo Scattering Observed at a Single Magnetic Impurity , 1998 .

[13]  A. Komnik,et al.  SCALING AND CRITICALITY OF THE KONDO EFFECT IN A LUTTINGER LIQUID , 1997, cond-mat/9709139.

[14]  A. Zvyagin,et al.  The open spin chain with impurity: an exact solution , 1997 .

[15]  J. Dai,et al.  EXACT RESULTS FOR A KONDO PROBLEM IN A ONE-DIMENSIONAL T-J MODEL , 1997, cond-mat/9706086.

[16]  Osamu Tsuchiya,et al.  Boundary Bound States for the Open Hubbard Chain with Boundary Fields , 1997, cond-mat/9703001.

[17]  H. Frahm,et al.  Spectrum of boundary states in the open Hubbard chain , 1997, cond-mat/9702227.

[18]  A. Zvyagin,et al.  Integrable supersymmetric t-J model with magnetic impurity , 1997 .

[19]  F. Essler,et al.  Exact solution of a t−J chain with impurity , 1996, cond-mat/9610222.

[20]  F. Essler,et al.  INTEGRABLE IMPURITY IN THE SUPERSYMMETRIC T-J MODEL , 1996, cond-mat/9609262.

[21]  Wang,et al.  An Exactly Solvable Kondo Problem for Interacting One-Dimensional Fermions. , 1996, Physical review letters.

[22]  F. Essler.  The supersymmetric t - J model with a boundary , 1996, cond-mat/9605180.

[23]  Jóhannesson,et al.  Kondo effect in a Luttinger liquid: Exact results from conformal field theory. , 1995, Physical review letters.

[24]  H. Saleur,et al.  Boundary bound states and boundary bootstrap in the sine-Gordon model with Dirichlet boundary conditions , 1995, hep-th/9502011.

[25]  Vladimir E. Korepin,et al.  The One-Dimensional Hubbard Model , 1994 .

[26]  Nagaosa,et al.  Kondo effect in a Tomonaga-Luttinger liquid. , 1994, Physical review letters.

[27]  Alex C. Hewson,et al.  The Kondo Problem to Heavy Fermions , 1993 .

[28]  A. Hewson,et al.  The Kondo Problem to Heavy Fermions: Addendum , 1993 .

[29]  Lee,et al.  Kondo effect in a Luttinger liquid. , 1992, Physical review letters.

[30]  Carmelo,et al.  Charge-spin recombination in the one-dimensional supersymmetric t-J model. , 1992, Physical review. B, Condensed matter.

[31]  P. Schlottmann.  Thermodynamics of the degenerate supersymmetric t-J model in one dimension , 1992 .

[32]  Frahm,et al.  Critical exponents for the one-dimensional Hubbard model. , 1990, Physical review. B, Condensed matter.

[33]  H. Schulz,et al.  The exact susceptibility of a Kondo spin-1/2 for ferromagnetic coupling and T= 0 , 1990 .

[34]  P. Schlottmann,et al.  Integrable narrow-band model with possible relevance to heavy-fermion systems. , 1987, Physical review. B, Condensed matter.

[35]  R. Schulz.  CORRIGENDUM: An exactly solvable Kondo model with quadratic band energy , 1987 .

[36]  A. M. Tsvelick,et al.  Exact results in the theory of magnetic alloys , 1983 .

[37]  J. Lowenstein,et al.  Solution of the Kondo problem , 1983 .

[38]  Chen Ning Yang,et al.  One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System , 1966 .