Non-equilibrium tunneling into general quantum Hall edge states

Abstract

In this paper we formulate the theory of tunneling into general Abelian fractional quantum Hall edge states. In contrast to the simple Laughlin states, a number of charge transfer processes must be accounted for. Nonetheless, it is possible to identify a unique value corresponding to dissipationless transport as the asymptotic large-$V$ conductance through a tunneling junction, and find fixed points (CFT boundary conditions) corresponding to this value. The symmetries of a given edge tunneling problem determine the appropriate boundary condition, and the boundary condition determines the strong-coupling operator content and current noise.

6 pages, 3 figures; published version

References in corpus (9)

• Topological orders and Edge excitations in FQH states
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Exact non-equilibrium transport through point contacts in quantum wires and fractional quantum Hall devices
• Universal structure of the edge states of the fractional quantum Hall states
• Tunneling into the edge of a compressible Quantum Hall state
• Classification of Disordered Phases of Quantum Hall Edge States
• What do noise measurements reveal about fractional charge in FQH liquids?
• Periphery deformations and tunneling at correlated quantum-Hall edges
• Consequences of a possible adiabatic transition between ν=1/3 and ν=1 quantum Hall states in a narrow wire

Cited by in corpus (9)

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• Critical points in edge tunneling between generic FQH states
• Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
• Transport through constricted quantum Hall edge systems: beyond the quantum point contact
• Pumping current and conductance of a Luttinger liquid in the presence of two time-dependent impurities at finite temperature
• Effect of nonadiabatic switching of dynamic perturbations in 1d Fermi systems
• Infrared catastrophe and tunneling into strongly correlated electron systems: Perturbative x-ray edge limit
• Infrared catastrophe and tunneling into strongly correlated electron systems: Exact solution of the x-ray edge limit for the 1D electron gas and 2D Hall fluid
• Pumping current of a Luttinger liquid with finite length