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Thermoelectric characteristics of \mathbb Zk parafermion Coulomb islands

2016/01/26 by Lachezar S. Georgiev, Georgiev, Lachezar S.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.1601.07034

9 pages 2 figures; proceedings of the XI International Workshop Lie Theory and Its Applications In Physics 15 - 21 June 2015, Varna, Bulgaria

arxiv created 2016/01/26 · openalex publication_date 2016/01/26 · arxiv updated 2016/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the explicit rational conformal field theory partition functions for the \mathbb Zk parafermion quantum Hall states on a disk we compute numerically the thermoelectric power factor for Coulomb-blockaded islands at finite temperature. We demonstrate that the power factor is rather sensitive to the neutral degrees of freedom and could eventually be used to distinguish experimentally between different quantum Hall states having identical electric properties. This might help us to confirm whether non-Abelian quasiparticles, such as the Fibonacci anyons, are indeed present in the experimentally observed quantum Hall states.

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