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arXiv · 1106.3729

Large-deviation analysis for counting statistics in mesoscopic transports

Jun Li·Yu Liu·Jing Ping·Shu-Shen Li·Xin-Qi Li·YiJing Yan
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Abstract

We present an efficient approach, based on a number-conditioned master equation, for large-deviation analysis in mesoscopic transports. Beyond the conventional full-counting-statistics study, the large-deviation approach encodes complete information of both the typical trajectories and the rare ones, in terms of revealing a continuous change of the dynamical phase in trajectory space. The approach is illustrated with two examples: (i) transport through a single quantum dot, where we reveal the inhomogeneous distribution of trajectories in general case and find a particular scale invariance point in trajectory statistics; and (ii) transport through a double dots, where we find a dynamical phase transition between two distinct phases induced by the Coulomb correlation and quantum interference.

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Jun Li, Yu Liu, Jing Ping, Shu-Shen Li, Xin-Qi Li, YiJing Yan. 2011-06-19. Large-deviation analysis for counting statistics in mesoscopic transports. https://doi.org/10.1103/physrevb.84.115319

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