Detecting fractional statistics in anyon interferometry employing thermal excitation

In this work, we propose an interferometry setup of anyons, a setup slightly modified from a usual Fabry-Perot interferometry.\footnote{D. C. Chamon, D. E. Freed, S. A. Kivelson, S. L. Sondhi, X. G. Wen, Phys. Rev. B \textbf{55}, 2331 (1997)} In this interferometry, there appears anyon braiding between thermally excited anyons and an anyon injected from a source of the setup. This braiding process, which has unnoticed before and does not exist in bosons and fermions, results in a temperature dependent phase shift of the interference pattern of the setup. Experimental observation of the phase shift will provide a direct evidence of fractional statistics.