KONDO EFFECT IN XXZ SPIN CHAINS

Citation
A. Furusaki et T. Hikihara, KONDO EFFECT IN XXZ SPIN CHAINS, Physical review. B, Condensed matter, 58(9), 1998, pp. 5529-5538
Citations number
31
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
58
Issue
9
Year of publication
1998
Pages
5529 - 5538
Database
ISI
SICI code
0163-1829(1998)58:9<5529:KEIXSC>2.0.ZU;2-D
Abstract
The Kondo effect in a one-dimensional spin-1/2 XXZ model in the gaples s XY regime (-1 < Delta less than or equal to 1) is studied both analy tically and numerically. In our model an impurity spin (S = 1/2) is co upled to a single spin in the XXZ spin chain. Perturbative renormaliza tion-group (RG) analysis is performed for various limiting cases to de duce low-ene;gy fixed points. It is shown that in the ground state the impurity spin is screened by forming a singlet with a spin in the hos t XXZ chain. In the antiferromagnetic side (0 < Delta less than or equ al to 1) the host chain is cut into two semi-infinite chains by the si nglet. In the ferromagnetic side (-1 < Delta < 0); on the other hand, the host XXZ chain remains as a single chain through ''healing'' of a weakened bond;in the low-energy (long-distance) limit. The density-mat rix renormalization-group method is used to study the size scaling of finite-size energy gaps and the power-law decay of correlation functio ns in the ground state. The numerical results are in good agreement wi th the predictions of the RG analysis. Low-temperature behaviors of sp ecific heat and susceptibility are also discussed.