Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias

TL;DR

This paper investigates how temperature biases affect charge and heat transport in fractional quantum Hall systems, emphasizing the role of scaling dimensions in understanding anyonic quasiparticles and their exchange statistics.

Contribution

It provides a comprehensive analysis of delta-T noise and related observables to extract scaling dimensions of tunneling anyons in fractional quantum Hall devices.

Findings

Charge and heat noise reveal quasiparticle properties.

Scaling dimensions are crucial for identifying anyonic statistics.

Temperature bias measurements can probe strongly correlated states.

Abstract

Continued improvement of heat control in mesoscopic conductors brings novel tools for probing strongly correlated electron phenomena. Motivated by these advances, we comprehensively study transport due to a temperature bias in a quantum point contact device in the fractional quantum Hall regime. We compute the charge-current noise (so-called delta-$T$ noise), heat-current noise, and mixed noise and elucidate how these observables can be used to infer strongly correlated properties of the device. Our main focus is the extraction of so-called scaling dimensions of the tunneling anyonic quasiparticles, of critical importance to correctly infer their anyonic exchange statistics.