Quantum and classical binomial distributions for the charge transmitted through coherent conductor

GB Lesovik, NM Chtchelkatchev - Journal of Experimental and Theoretical …, 2003 - Springer
GB Lesovik, NM Chtchelkatchev
Journal of Experimental and Theoretical Physics Letters, 2003Springer
We discuss controversial results for the statistics of charge transport through coherent
conductors. Two distribution functions for the charge transmitted was obtained previously,
one actually coincides with classical binomial distribution, the other is different, and we call it
here quantum binomial distribution. We show that high-order charge correlators, determined
by the either distribution functions, all can be measured in different setups. The high-order
current correlators, starting with the third order, reveal (missed in previous studies) special …
Abstract
We discuss controversial results for the statistics of charge transport through coherent conductors. Two distribution functions for the charge transmitted was obtained previously, one actually coincides with classical binomial distribution, the other is different, and we call it here quantum binomial distribution. We show that high-order charge correlators, determined by the either distribution functions, all can be measured in different setups. The high-order current correlators, starting with the third order, reveal (missed in previous studies) special oscillating frequency dependence on the scale of the inverted time flight from the obstacle to the measuring point. Depending on setup, the oscillating terms give substantially different contributions.
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