Scaling and universality in the anisotropic Kondo model and the dissipative two-state system

被引：64

作者：

Costi, TA ^{[1
]}

机构：

[1] Univ Karlsruhe, Inst Theorie Kondensierten Mat, D-76128 Karlsruhe, Germany

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 05期

关键词：

D O I：

10.1103/PhysRevLett.80.1038

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Scaling and universality in the Ohmic two-state system is investigated by exploiting the equivalence of this model to the anisotropic Kondo model. For the Ohmic two-state system, we find universal scaling functions for the specific heat C-alpha(T), static susceptibility chi(alpha)(T), and spin relaxation function S-alpha(omega), depending on the reduced temperature T/Delta(r) (frequency omega/Delta(r)), with Delta(r) the renormalized tunneling frequency, and uniquely specified by the dissipation strength alpha (0 < alpha < 1). The scaling functions can be used to extract alpha and Delta(r) in experimental realizations.

引用

页码：1038 / 1041

页数：4

共 27 条

[1] EXACT RESULTS IN KONDO PROBLEM - EQUIVALENCE TO A CLASSICAL ONE-DIMENSIONAL COULOMB GAS [J].

ANDERSON, PW ;

YUVAL, G .

PHYSICAL REVIEW LETTERS, 1969, 23 (02) :89-+

[2] EXACT RESULTS IN KONDO PROBLEM .2. SCALING THEORY, QUALITATIVELY CORRECT SOLUTION, AND SOME NEW RESULTS ON ONE-DIMENSIONAL CLASSICAL STATISTICAL MODELS [J].

ANDERSON, PW ;

YUVAL, G ;

HAMANN, DR .

PHYSICAL REVIEW B-SOLID STATE, 1970, 1 (11) :4464-+

[3] INFLUENCE OF DISSIPATION ON QUANTUM COHERENCE [J].

BRAY, AJ ;

MOORE, MA .

PHYSICAL REVIEW LETTERS, 1982, 49 (21) :1545-1549

[4] DISSIPATIVE DYNAMICS OF A 2-STATE SYSTEM, THE KONDO PROBLEM, AND THE INVERSE-SQUARE ISING-MODEL [J].

CHAKRAVARTY, S ;

RUDNICK, J .

PHYSICAL REVIEW LETTERS, 1995, 75 (03) :501-504

[5] PHOTOINDUCED MACROSCOPIC QUANTUM TUNNELING IN SUPERCONDUCTING INTERFERENCE DEVICES [J].

CHAKRAVARTY, S ;

KIVELSON, S .

PHYSICAL REVIEW LETTERS, 1983, 50 (22) :1811-1814

[6] Renormalization-group approach to nonequilibrium Green functions in correlated impurity systems [J].

Costi, TA .

PHYSICAL REVIEW B, 1997, 55 (05) :3003-3009

[7] Equilibrium dynamics of the dissipative two-state system [J].

Costi, TA ;

Kieffer, C .

PHYSICAL REVIEW LETTERS, 1996, 76 (10) :1683-1686

[8]

COSTI TA, IN PRESS

[9]

COX DL, CONDMAT970413

[10] Crossover from coherent to incoherent dynamics in damped quantum systems [J].

Egger, R ;

Grabert, H ;

Weiss, U .

PHYSICAL REVIEW E, 1997, 55 (04) :R3809-R3812

← 1 2 3 →