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.
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Acknowledgements
I thank Andrea Cappelli, Guillermo Zemba and Ady Stern for many helpful discussions. This work has been partially supported by the Alexander von Humboldt Foundation under the Return Fellowship and Equipment Subsidies Programs and by the Bulgarian Science Fund under Contract No. DFNI-E 01/2 and DFNI-T 02/6.
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Georgiev, L.S. (2016). Thermoelectric Characteristics of \({\mathbb Z}_k\) Parafermion Coulomb Islands. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_24
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DOI: https://doi.org/10.1007/978-981-10-2636-2_24
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