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Electron waiting times in mesoscopic conductors
Mathias Albert1, Géraldine Haack, Christian Flindt
1Département de Physique Théorique, Université de Genève, 1211 Genève, Switzerland.
Physical Review Letters
|June 12, 2012
Summary
We developed a quantum theory for electron waiting times in mesoscopic conductors. This reveals that electron timing distributions exhibit unique statistics, even in noiseless transport, due to their wave nature.
Area of Science:
- Quantum transport phenomena
- Mesoscopic physics
- Statistical mechanics
Background:
- Traditional studies of electron transport focus on current and fluctuations.
- A theoretical framework for electron waiting times in coherent electronic systems was missing.
- Understanding electron timing provides complementary insights into charge transport.
Purpose of the Study:
- To develop a quantum theory for electron waiting times in mesoscopic conductors.
- To provide a theoretical framework for analyzing charge carrier distributions.
- To investigate the statistical properties of electron transport.
Main Methods:
- Developed a quantum theory for electron waiting times.
- Derived a compact determinant formula for waiting time distributions.
- Calculated the waiting time distribution for a quantum point contact.
Main Results:
- Found a crossover in waiting time statistics from Wigner-Dyson to Poisson.
- Demonstrated that electrons are not equally spaced in time due to wave nature.
- Identified unique timing statistics even in low-frequency, noiseless transport.
Conclusions:
- The developed quantum theory offers a new perspective on charge transport.
- Electron waiting time distributions reveal fundamental quantum properties.
- Analogies exist with random matrix theory and level spacing statistics in quantum systems.
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