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 localized 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.
[1]
宁北芳,et al.
疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A
,
2005
.
[2]
Parsa Bonderson,et al.
Non-Abelian Anyons and Interferometry
,
2007
.
[3]
E. B. Wilson.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES.
,
1919,
Science.
[4]
R. Rosenfeld.
Nature
,
2009,
Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.
[5]
Matthew P. A. Fisher,et al.
Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons
,
2005
.