Temperature Dependence of the Tunneling Amplitude between Quantum Hall Edges

TL;DR

This paper investigates the temperature-dependent tunneling amplitude between quantum Hall edges, explaining experimental deviations from theory at low temperatures through strong temperature effects on tunneling.

Contribution

It proposes that the strong temperature dependence of the tunneling amplitude accounts for the observed deviations from chiral Luttinger liquid theory at low temperatures.

Findings

Tunneling conductance matches theory at high temperatures.

Conductance drops to zero at low temperatures, deviating from predictions.

Temperature significantly influences tunneling amplitude in quantum Hall systems.

Abstract

Recent experiments have studied the tunneling current between the edges of a fractional quantum Hall liquid as a function of temperature and voltage. The results of the experiment are puzzling because at "high" temperature (600-900 mK) the behavior of the tunneling conductance is consistent with the theory of tunneling between chiral Luttinger liquids, but at low temperature it strongly deviates from that prediction dropping to zero with decreasing temperature. In this paper we suggest a possible explanation of this behavior in terms of the strong temperature dependence of the tunneling amplitude.