Thermoelectric characteristics of ${\mathbb{Z}}_k$ parafermion Coulomb islands

Abstract

Using the explicit rational conformal field theory partition functions for the ${\mathbb{Z}}_k$ 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.

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

References in corpus (6)

• Non-Abelian Anyons and Topological Quantum Computation
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Implementation of Clifford gates in the Ising-anyon topological quantum computer
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Thermopower and thermoelectric power factor of ${\mathbb{Z}}_k$ parafermion quantum dots