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

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.

30 + 30 pages, 8 figures. Corrected a typo in the last line of Eq. (30b) of the published version. The associated plots were correct and are unchanged

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Cited by in corpus (4)

• Anyon braiding on the single edge of a fractional quantum Hall state
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• Exchange-phase erasure in anyonic Hong-Ou-Mandel interferometry
• Probing anyon statistics on a single-edge loop in the fractional quantum Hall regime