Self-duality in quantum impurity problems
arXiv:cond-mat/9804173 · doi:10.1103/PhysRevLett.81.2518
Abstract
We establish the existence of an exact non-perturbative self-duality in a variety of quantum impurity problems, including the Luttinger liquid or quantum wire with impurity. The former is realized in the fractional quantum Hall effect, where the duality interchanges electrons with Laughlin quasiparticles. We discuss the mathematical structure underlying this property, which bears an intriguing resemblance with the work of Seiberg and Witten on supersymmetric non-abelian gauge theory.
4 pages
Cited by in corpus (22)
- Towards full counting statistics for the Anderson impurity model
- Inter-edge strong-to-weak scattering evolution at a constriction in the fractional quantum Hall regime
- Perturbative fluctuation dissipation relation for non-equilibrium finite frequency noise in quantum circuits
- Perturbation of infra-red fixed points and duality in quantum impurity problems
- Dynamical Coulomb blockade under a temperature bias
- Loschmidt Amplitude and Work Distribution in Quenches of the Sine-Gordon Model
- Thermodynamics of the Complex su(3) Toda Theory
- Two-sites quantum island in the quasi-ballistic regime
- Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
- A twisted conformal field theory description of dissipative quantum mechanics
- Exact Boundary Modes in an Interacting Quantum Wire
- Colored noise in the fractional Hall effect: duality relations and exact results
- Quasi-particle tunneling at a constriction in a fractional quantum Hall state
- Crossover of Correlation Functions near a Quantum Impurity in a Tomonaga-Luttinger Liquid
- Nonequilibrium transfer and decoherence in quantum impurity problems
- 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
- Electron transport through a mesoscopic metal-CDW-metal junction
- External voltage sources and Tunneling in quantum wires
- Duality without supersymmetry
- Nonlinear conductance and noise in boundary sine-Gordon and related models
- Differential equations and duality in massless integrable field theories at zero temperature