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Detecting Non-Abelian Anyons by Charging Spectroscopy | | Gilad Ben-Shach
; Chris R. Laumann
; Izhar Neder
; Amir Yacoby
; Bertrand I. Halperin
; | | Date: |
5 Dec 2012 | | Abstract: | Observation of non-Abelian statistics for the e/4 quasiparticles in the
u=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. | | Source: | arXiv, 1212.1163 | | Services: | Forum | Review | PDF | Favorites | |
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