Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect

Abstract

The conductance for tunneling through a point contact between two $\nu =1/3$ quantum Hall edges is described by a universal scaling function, which has recently been measured experimentally. We compute this universal function exactly, by using the thermodynamic Bethe ansatz and a Boltzmann equation.

10 pages, 1 figure

References in corpus (7)

• Boundary S-Matrix and Boundary State in Two-Dimensional Integrable Quantum Field Theory
• Resonant Tunneling Between Quantum Hall Edge States
• Exact solution of a massless scalar field with a relevant boundary interaction
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• The Fermi Edge Singularity and Boundary Condition Changing Operators
• Luttinger States at the Edge
• Central charges without finite-size effects

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