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Grosfeld E, Das S. Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-Abelian quantum Hall states. Phys Rev Lett. 2009;102(10):106403doi: 10.1103/PhysRevLett.102.106403.
Grosfeld, E., & Das, S. (2009). Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-Abelian quantum Hall states. Physical review letters, 102(10), 106403. https://doi.org/10.1103/PhysRevLett.102.106403
Grosfeld, Eytan, and Das, Sourin. "Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-Abelian quantum Hall states." Physical review letters vol. 102,10 (2009): 106403. doi: https://doi.org/10.1103/PhysRevLett.102.106403
Grosfeld E, Das S. Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-Abelian quantum Hall states. Phys Rev Lett. 2009 Mar 13;102(10):106403. doi: 10.1103/PhysRevLett.102.106403. Epub 2009 Mar 10. PMID: 19392135.
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Phys Rev Lett. 2009 Mar 13;102(10):106403. doi: 10.1103/PhysRevLett.102.106403. Epub 2009 Mar 10.

Probing the neutral edge modes in transport across a point contact via thermal effects in the Read-Rezayi non-Abelian quantum Hall states.

Physical review letters

Eytan Grosfeld, Sourin Das

Affiliations

  1. Department of Physics, University of Illinois, 1110 West Green Street, Urbana Illinois 61801-3080, USA.

PMID: 19392135 DOI: 10.1103/PhysRevLett.102.106403

Abstract

Non-Abelian quantum Hall states are characterized by the simultaneous appearance of charge and neutral gapless edge modes, with the structure of the latter being intricately related to the existence of bulk quasiparticle excitations obeying non-Abelian statistics. Here we propose a scenario for detecting the neutral modes by having two point contacts in series separated by a distance set by the thermal equilibration length of the charge mode. We show that by using the first point contact as a heating device, the excess charge noise measured at the second point contact carries a nontrivial signature of the presence of the neutral mode. We also obtain explicit expressions for the thermal conductance and corresponding Lorentz number for transport across a quantum point contact between two edges held at different temperatures and chemical potentials.

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