Broken symmetry, hyper-fermions, and universal conductance in transport through a fractional quantum Hall edge

Abstract

We have found solution to a model of tunneling between a multi-channel Fermi liquid reservoir and an edge of the principal fractional quantum Hall liquid (FQHL) in the strong coupling limit. The solution explains how the absence of the time-reversal symmetry at high energies due to chiral edge propagation makes the universal two-terminal conductance of the FQHL fractionally quantized and different from that of a 1D Tomonaga-Luttinger liquid wire, where a similar model but preserving the time-reversal symmetry predicts unsuppressed free-electron conductance.

5 twocolumn pages in RevTex, no figures, more explanations added, a short version was published in JETP Letters, vol.74, 87 (2001)

Cited by in corpus (12)

• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Electron injection in a nanotube: noise correlations and entanglement
• Klein Factors in multiple Fractional Quantum Hall edge tunneling
• Electron injection in a nanotube with leads: finite frequency noise-correlations and anomalous charges
• Coulomb blockade of anyons
• Mach-Zehnder interferometer in the Fractional Quantum Hall regime
• Strong-coupling branching of FQHL edges
• Antidot tunneling between Quantum Hall liquids with different filling factors
• Splitting electrons into quasiparticles with fractional edge-state Mach-Zehnder interferometer
• Comment on "Strongly correlated Fractional Quantum Hall line junction"
• Correlated transport of FQHE quasiparticles in a double-antidot system
• FQHE interferometers in strong tunneling regime. The role of compactness of edge fields