Full current statistics of incoherent "cold electrons"

Area of Science:

• Condensed matter physics
• Mesoscopic physics

Background:

• Understanding electron transport in low-dimensional systems is crucial for developing advanced electronic devices.
• The incoherent transport regime and the role of Coulomb interactions are key factors influencing current statistics.

Purpose of the Study:

• To investigate the full current statistics (FCS) in one-dimensional (1D) and two-dimensional (2D) diffusive conductors within the incoherent regime.
• To analyze the impact of Coulomb interactions on current fluctuations and their distribution.

Main Methods:

• Evaluation of full current statistics (FCS) in 1D and 2D diffusive conductors.
• Analysis of the incoherent transport regime defined by eV >> Thouless energy (E(Th)).
• Consideration of Coulomb interaction effects on current fluctuations.

Main Results:

• Coulomb interactions substantially enhance the probability of large current fluctuations in short conductors.
• Exponential tails are observed in the current distribution due to these enhanced fluctuations.
• Current fluctuations are most pronounced at low temperatures, with specific conditions for 1D and 2D systems related to Thouless energy.

Conclusions:

• Coulomb interactions play a significant role in shaping current statistics in low-dimensional diffusive conductors.
• The findings are particularly relevant for understanding transport in mesoscopic systems under specific temperature and energy conditions.
• Further investigation into the