Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu=2/3$

C.L. Kane; J. Polchinski; M.P.A. Fisher

Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu=2/3$

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv cond-mat/9402108 v1 pith:NWVXDYE4 submitted 1994-02-25 cond-mat

C.L. Kane , M.P.A. Fisher , J. Polchinski This is my paper

classification cond-mat

keywords edgehallphaseconductancefillingmodeneutralrandom

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

Current Luttinger liquid edge state theories for filling $\nu=2/3$ predict a non-universal Hall conductance, in disagreement with experiment. Upon inclusion of random edge tunnelling we find a phase transition into a new disordered-dominated edge phase. An exact solution of the random model in this phase gives a quantized Hall conductance of 2/3 and a neutral mode propagating upstream. The presence of the neutral mode changes the predicted temperature dependence for tunnelling through a point contact from $T^{2/\nu -2}$ to $T^2$.

Discussion (0). Sign in to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Anyon delocalization transitions out of a disordered FQAH insulator
cond-mat.str-el 2025-06 conditional novelty 6.0 of 10

A theory predicts that doping a ν=2/3 fractional quantum anomalous Hall insulator with charge-2/3 anyons can drive a direct transition to a chiral topological superconductor, with a universal resistance peak, while ch...

Pith tools