Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Nuclear Physics B

Exact conformal-field-theory results on the multi-channel Kondo effect: Asymptotic three-dimensional space- and time-dependent multi-point and many-particle Green's functions

Andreas W. W. Ludwig, Ian K. Affleck

Published Oct 1, 1994• 91 citations
Publisher
DOI
10.1016/0550-3213(94)90365-4

Related papers

Exact results on the multi-channel Kondo effect from conformal field theory

Andreas W. W. Ludwig

Physica B Condensed Matter•Apr 1, 1994•10 citations

Exact, asymptotic, three-dimensional, space- and time-dependent, Green’s functions in the multichannel Kondo effect

Andreas W. W. Ludwig, Ian K. Affleck

Exact 3D space- and time-dependent Green's functions are computed for the multichannel Kondo effect in the universal large-distance, long-time regime, using conformal field theory. They exhibit crossover from Fermi-liquid form far away, to singular non-Fermi-liquid behavior, near the impurity, where charge, spin, and ``flavor'' degrees of freedom become ``deconfined.'' Explicit expressions are given for the resistivity, \ensuremath{\rho}, for all k and for the spin-density and pair-density Green's functions, for k=2. For k=2, \ensuremath{\rho}(T)-\ensuremath{\rho}(0)\ensuremath{\propto}${\mathit{T}}^{1/2}$ and the pair susceptibility \ensuremath{\propto}lnT.

Physical Review Letters•Nov 25, 1991•197 citations

The Two-Impurity Two-Channel Kondo Problem: a Conformal Field Theory Approach

José Miguel González

•Jan 1, 1995•0 citations

Exact conformal-field-theory results on the multichannel Kondo effect: Single-fermion Green’s function, self-energy, and resistivity

Ian K. Affleck, Andreas W. W. Ludwig

A conformal-field-theory approach has recently been developed for quantum-impurity problems including the ``overscreened'' multichannel Kondo model. We present the details of our calculation of the single-fermion Green's function. The universal zero-temperature resistivity and leading temperature-dependent term are derived. Effects of particle-hole symmetry breaking are included. We also give our perturbative proof of the ``g theorem'' governing the change in residual entropy under a renormalization-group flow between two boundary fixed points.

Physical review. B, Condensed matter•Sep 1, 1993•433 citations

Perturbative renormalization of multi-channel Kondo-type models

Yoshio Kuramoto

arXiv:cond-mat/9805009•The European Physical Journal B•Oct 1, 1998•20 citations

FIELD THEORY APPROACH TO CRITICAL QUANTUM IMPURITY PROBLEMS AND APPLICATIONS TO THE MULTI-CHANNEL KONDO EFFECT

Andreas W. W. Ludwig

A new, general approach to finding exact solutions of Quantum Impurity Problems is reviewed, in which a local quantum mechanical degree of freedom is coupled to an extended variable, having gapless excitations. The principle ideas, using Conformal Field Theory techniques, are demonstrated in the example of the Multi-Channel Kondo effect, which exhibits unusual non-Fermi-liquid behavior at low temperatures and which appears to be relevant for Heavy Fermion Materials. In particular, static and dynamic Green's functions as well as transport and pairing properties are calculated exactly at low temperatures. Quantum Impurity Problems provide realizations of non-trivial, fully interacting Conformal Field Theories.

International Journal of Modern Physics B•Feb 14, 1994•42 citations
Exact 3D space- and time-dependent Green's functions are computed for the multichannel Kondo effect in the universal large-distance, long-time regime, using conformal field theory. They exhibit crossover from Fermi-liquid form far away, to singular non-Fermi-liquid behavior, near the impurity, where charge, spin, and ``flavor'' degrees of freedom become ``deconfined.'' Explicit expressions are given for the resistivity, \ensuremath{\rho}, for all k and for the spin-density and pair-density Green's functions, for k=2. For k=2, \ensuremath{\rho}(T)-\ensuremath{\rho}(0)\ensuremath{\propto}T1/2{\mathit{T}}^{1/2}T1/2 and the pair susceptibility \ensuremath{\propto}lnT.
A conformal-field-theory approach has recently been developed for quantum-impurity problems including the ``overscreened'' multichannel Kondo model. We present the details of our calculation of the single-fermion Green's function. The universal zero-temperature resistivity and leading temperature-dependent term are derived. Effects of particle-hole symmetry breaking are included. We also give our perturbative proof of the ``g theorem'' governing the change in residual entropy under a renormalization-group flow between two boundary fixed points.
A new, general approach to finding exact solutions of Quantum Impurity Problems is reviewed, in which a local quantum mechanical degree of freedom is coupled to an extended variable, having gapless excitations. The principle ideas, using Conformal Field Theory techniques, are demonstrated in the example of the Multi-Channel Kondo effect, which exhibits unusual non-Fermi-liquid behavior at low temperatures and which appears to be relevant for Heavy Fermion Materials. In particular, static and dynamic Green's functions as well as transport and pairing properties are calculated exactly at low temperatures. Quantum Impurity Problems provide realizations of non-trivial, fully interacting Conformal Field Theories.