Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime

Abstract

The ν=5/2 anti-Pfaffian state and the ν=2/3 state are believed to have an edge composed of counter-propagating charge and neutral modes. This situation allows the generation of a pure thermal bias between two composite edge states across a quantum point contact (QPC) as was experimentally established in Nature 466, 585 (2010). We show that replacing the QPC by a quantum dot provides a natural way for detecting the neutral modes via the finite current generated by the thermoelectric response of the dot. We also show that the degeneracies of the dot spectrum, dictated by the conformal field theories (CFTs) describing these states, induce asymmetries in the thermoelectric current peaks. This in turn provides a direct fingerprint of the corresponding CFT.

arXiv comment5+4 pages, 2 figures; revisions and additions (in the supplementary). Accepted to PRL

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Cited by in corpus (30)

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• How to measure the entropy of a mesoscopic system via thermoelectric transport
• Fractional entropy of multichannel Kondo systems from conductance-charge relations
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Optimal thermoelectricity with quantum spin-Hall edge states
• Flux superperiods and periodicity transitions in quantum Hall interferometers
• Non-Monotonic Thermoelectric Currents and Energy Harvesting in Interacting Double Quantum-Dots
• Enhanced thermoelectric response in the fractional quantum Hall effect
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• Cotunneling in the ν= 5/2 fractional quantum Hall regime
• Thermopower in the Coulomb blockade regime for Laughlin quantum dots