Universal low-temperature crossover in two-channel Kondo models

被引：50

作者：

Mitchell, Andrew K. ^{[1
]}

Sela, Eran ^{[1
]}

机构：

[1] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany

来源：

PHYSICAL REVIEW B | 2012年 / 85卷 / 23期

关键词：

CONFORMAL-FIELD-THEORY; RENORMALIZATION-GROUP METHOD; DILUTE MAGNETIC-ALLOYS; FERMI-LIQUID BEHAVIOR; LUTTINGER LIQUID; ANDERSON MODEL; FIXED-POINTS; QUANTUM DOTS; ISING-MODEL; SELF-ENERGY;

D O I：

10.1103/PhysRevB.85.235127

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An exact expression is derived for the electron Green function in two-channel Kondo models with one and two impurities, describing the crossover from non-Fermi liquid (NFL) behavior at intermediate temperatures to standard Fermi liquid (FL) physics at low temperatures. Symmetry-breaking perturbations generically present in experiment ensure the standard low-energy FL description, but the full crossover is wholly characteristic of the unstable NFL state. Distinctive conductance lineshapes in quantum dot devices should result. We exploit a connection between this crossover and one occurring in a classical boundary Ising model to calculate real-space electron densities at finite temperature. The single universal finite-temperature Green function is then extracted by inverting the integral transformation relating these Friedel oscillations to the t matrix. Excellent agreement is demonstrated between exact results and full numerical renormalization group calculations.

引用

页数：23

共 87 条

[1] EXACT CONFORMAL-FIELD-THEORY RESULTS ON THE MULTICHANNEL KONDO EFFECT - SINGLE-FERMION GREEN-FUNCTION, SELF-ENERGY, AND RESISTIVITY [J].

AFFLECK, I ;

LUDWIG, AWW .

PHYSICAL REVIEW B, 1993, 48 (10) :7297-7321

[2] EXACT CRITICAL-THEORY OF THE 2-IMPURITY KONDO MODEL [J].

AFFLECK, I ;

LUDWIG, AWW .

PHYSICAL REVIEW LETTERS, 1992, 68 (07) :1046-1049

[3] CONFORMAL-FIELD-THEORY APPROACH TO THE 2-IMPURITY KONDO PROBLEM - COMPARISON WITH NUMERICAL RENORMALIZATION-GROUP RESULTS [J].

AFFLECK, I ;

LUDWIG, AWW ;

JONES, BA .

PHYSICAL REVIEW B, 1995, 52 (13) :9528-9546

[4] UNIVERSAL NONINTEGER GROUND-STATE DEGENERACY IN CRITICAL QUANTUM-SYSTEMS [J].

AFFLECK, I ;

LUDWIG, AWW .

PHYSICAL REVIEW LETTERS, 1991, 67 (02) :161-164

[5]

Affleck I, 1995, ACTA PHYS POL B, V26, P1869

[6] Friedel oscillations and the Kondo screening cloud [J].

Affleck, Ian ;

Borda, Laszlo ;

Saleur, Hubert .

PHYSICAL REVIEW B, 2008, 77 (18)

[7] Real-time dynamics in quantum-impurity systems: A time-dependent numerical renormalization-group approach [J].

Anders, FB ;

Schiller, A .

PHYSICAL REVIEW LETTERS, 2005, 95 (19)

[8]

Anderson P. W., 1970, J PHYS C SOLID STATE, V3, P2346

[9] SOLUTION OF THE MULTICHANNEL KONDO PROBLEM [J].

ANDREI, N ;

DESTRI, C .

PHYSICAL REVIEW LETTERS, 1984, 52 (05) :364-367

[10] FERMI-LIQUID AND NON-FERMI-LIQUID BEHAVIOR IN THE ANISOTROPIC MULTICHANNEL KONDO MODEL - BETHE-ANSATZ SOLUTION [J].

ANDREI, N ;

JEREZ, A .

PHYSICAL REVIEW LETTERS, 1995, 74 (22) :4507-4510

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