Spin-spin correlations between two Kondo impurities coupled to an open Hubbard chain

Abstract

In order to study the interplay between Kondo and Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction, we calculate the spin-spin correlation functions between two Kondo impurities coupled to different sites of a half-filled open Hubbard chain. Using the density-matrix renormalization group (DMRG), we re-examine the exponents for the power-law decay of the correlation function between the two impurity spins as a function of the antiferromagnetic coupling J, the Hubbard interaction U, and the distance R between the impurities. The exponents for finite systems obtained in this work deviate from previously published DMRG calculations. We furthermore show that the long-distance behavior of the exponents is the same for impurities coupled to the bulk or to both ends of the chain. We note that a universal exponent for the asymptotic behavior cannot be extracted from these finite-size systems with open boundary conditions.

8 pages, 10 figures; v2: final version, references and Fig. 8 added

References in corpus (10)

• The density-matrix renormalization group in the age of matrix product states
• A class of quantum many-body states that can be efficiently simulated
• New Trends in Density Matrix Renormalization
• Long-range Kondo signature of a single magnetic impurity
• Kondo screening cloud in a one dimensional wire: Numerical renormalization group study
• Friedel oscillations and the Kondo screening cloud
• Spin Correlations and Finite-Size Effects in the One-dimensional Kondo Box
• Renormalization-group analysis of the one-dimensional extended Hubbard model with a single impurity
• Anderson impurity in the one-dimensional Hubbard model on finite size systems
• Numerical study of finite size effects in the one-dimensional two-impurity Anderson model