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arXiv · 1212.1163

Detecting Non-Abelian Anyons by Charging Spectroscopy

Gilad Ben-Shach·Chris R. Laumann·Izhar Neder·Amir Yacoby·Bertrand I. Halperin
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Abstract

Observation of non-Abelian statistics for the e/4 quasiparticles in the ν=5/2 fractional quantum Hall state remains an outstanding experimental problem. The non-Abelian statistics are linked to the presence of additional low energy states in a system with localised quasiparticles, and hence an additional low-temperature entropy. Recent experiments, which detect changes in the number of quasiparticles trapped in a local potential well as a function of an applied gate voltage, V_G, provide a possibility for measuring this entropy, if carried out over a suitable range of temperatures, T. We present a microscopic model for quasiparticles in a potential well and study the effects of non-Abelian statistics on the charge stability diagram in the V_G-T plane, including broadening at finite temperature. We predict a measurable slope for the first quasiparticle charging line, and an even-odd effect in the diagram, which is a signature of non-Abelian statistics.

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Gilad Ben-Shach, Chris R. Laumann, Izhar Neder, Amir Yacoby, Bertrand I. Halperin. 2012-12-05. Detecting Non-Abelian Anyons by Charging Spectroscopy. https://doi.org/10.1103/physrevlett.110.106805

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