Rosenow Bernd, Levkivskyi Ivan P, Halperin Bertrand I
Institut für Theoretische Physik, Universität Leipzig, D-04009 Leipzig, Germany.
Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2016 Apr 15;116(15):156802. doi: 10.1103/PhysRevLett.116.156802.
Fermions and bosons are fundamental realizations of exchange statistics, which governs the probability for two particles being close to each other spatially. Anyons in the fractional quantum Hall effect are an example for exchange statistics intermediate between bosons and fermions. We analyze a mesoscopic setup in which two dilute beams of anyons collide with each other, and relate the correlations of current fluctuations to the probability of particles excluding each other spatially. While current correlations for fermions vanish, negative correlations for anyons are a clear signature of a reduced spatial exclusion as compared to fermions.
费米子和玻色子是交换统计的基本体现,交换统计决定了两个粒子在空间上彼此靠近的概率。分数量子霍尔效应中的任意子是玻色子和费米子之间交换统计的一个例子。我们分析了一个介观装置,其中两束稀释的任意子束相互碰撞,并将电流涨落的相关性与粒子在空间上相互排斥的概率联系起来。虽然费米子的电流相关性为零,但与费米子相比,任意子的负相关性明显表明空间排斥减少。