Ben-Shach, GiladLaumann, ChrisNeder, I.Yacoby, AmirHalperin, Bertrand2014-04-252013Ben-Shach, G., C. Laumann, I. Neder, A. Yacoby, and B. Halperin. 2013. Detecting Non-Abelian Anyons by Charging Spectroscopy. Physical Review Letters 110(10): 106805.0031-9007http://nrs.harvard.edu/urn-3:HUL.InstRepos:12111438Observation of non-Abelian statistics for the \(e/4\) quasiparticles in the \(\nu =\frac{5}{2}\) 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, VG, 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 VG−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.en-USJournal Article2014-04-2510.1103/physrevlett.110.106805