AI Article Synopsis
- The study examines electron transport in mesoscopic conductors by exploring not just the average current, but also the time intervals between electron arrivals.
- A new quantum theory of waiting times is introduced, using a determinant formula to analyze these intervals.
- Findings indicate that waiting time distributions transition from Wigner-Dyson statistics at high transmission to Poisson statistics near pinch-off, revealing insights into the wave-like behavior of electrons even in low-noise conditions.
Article Abstract
Electron transport in mesoscopic conductors has traditionally involved investigations of the mean current and the fluctuations of the current. A complementary view on charge transport is provided by the distribution of waiting times between charge carriers, but a proper theoretical framework for coherent electronic systems has so far been lacking. Here we develop a quantum theory of electron waiting times in mesoscopic conductors expressed by a compact determinant formula. We illustrate our methodology by calculating the waiting time distribution for a quantum point contact and find a crossover from Wigner-Dyson statistics at full transmission to Poisson statistics close to pinch-off. Even when the low-frequency transport is noiseless, the electrons are not equally spaced in time due to their inherent wave nature. We discuss the implications for renewal theory in mesoscopic systems and point out several analogies with level spacing statistics and random matrix theory.
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| http://dx.doi.org/10.1103/PhysRevLett.108.186806 | DOI Listing |
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