Perturbation of infra-red fixed points and duality in quantum impurity problems
arXiv:cond-mat/9812045 · doi:10.1016/S0550-3213(99)00076-0
Abstract
We explain in this paper how a meaningful irrelevant perturbation theory around the infra-red (strong coupling) fixed point can be carried out for integrable quantum impurity problems. This is illustrated in details for the spin 1/2 Kondo model, where our approach gives rise to the complete low temperature expansion of the resistivity, beyond the well known Fermi liquid behaviour. We also consider the edge states tunneling problem, and demonstrate by Keldysh techniques that the DC current satisfies an exact duality between the UV and IR regimes. This corresponds physically to a duality between the tunneling of Laughlin quasi particles and electrons, and, more formally, to the existence of an exact instantons expansion. The duality is deeply connected with integrability, and could not have been expected a priori.
40 Pgs, harvmac, 5 Figs
References in corpus (5)
Cited by in corpus (28)
- Generalized TBA and generalized Gibbs
- Theory of non-equilibrium transport in the SU(N) Kondo regime
- Friedel oscillations and the Kondo screening cloud
- Exact low temperature results for transport properties of the interacting resonant level model
- Fermi-liquid theory for the single-impurity Anderson model
- At which magnetic field, exactly, does the Kondo resonance begin to split? A Fermi liquid description of the low-energy properties of the Anderson model
- Fermi liquid theory for SU(N) Kondo model
- Transport properties of topological superconductor-Luttinger liquid junctions: a real-time Keldysh approach
- Dynamical Coulomb blockade under a temperature bias
- Appearance of ferroelectricity in thin films of incipient ferroelectric
- Resistively shunted Josephson junctions: QFT predictions versus MC results
- Two-sites quantum island in the quasi-ballistic regime
- Strong coupling resistivity in the Kondo model
- A twisted conformal field theory description of dissipative quantum mechanics
- Out-of-equilibrium properties and non-linear effects for interacting quantum impurity systems in their strong coupling regime
- Infra-red expansion of entanglement entropy in the Interacting Resonant Level Model
- Inelastic decay from integrability
- Phase-Coherent Dynamics of Quantum Devices With Local Interactions
- Transport properties of fully screened Kondo models
- Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
- Hyperelliptic curves for multi-channel quantum wires and the multi-channel Kondo problem
- Out-of-equilibrium transport in the interacting resonant level model: the surprising relevance of the boundary sine-Gordon model
- Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant
- Scattering amplitudes in non-Fermi liquid systems
- External voltage sources and Tunneling in quantum wires
- Fermionic fractional quantum Hall states: A modern approach to systems with bulk-edge correspondence
- Differential equations and duality in massless integrable field theories at zero temperature
- Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders