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Updated: May 30, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Full counting statistics for noninteracting fermions: exact finite-temperature results and generalized long-time
1Physik-Department, Technische Universität München, D-85748 Garching, Germany Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany. Institut für Theoretische Physik, Universität Göttingen, Friedrich-Hund-Platz 1, D-37077 Göttingen, Germany.
Summary
This study presents exact numerical results for electron full counting statistics in a 1D tight-binding model. It also generalizes the Levitov-Lesovik formula for quantum dot systems with multiple transverse channels.
Area of Science:
- Condensed matter physics
- Quantum transport phenomena
Background:
- Full counting statistics (FCS) provides detailed information about charge transport.
- Understanding electron behavior in low-dimensional systems is crucial for quantum electronics.
Purpose of the Study:
- To present exact numerical results for FCS in a 1D tight-binding model.
- To generalize existing formulas for quantum dot transport to multi-channel systems.
Main Methods:
- Utilizing a recently published identity by Abanov and Ivanov.
- Applying a similar approach to derive an explicit expression for the cumulant generating function.
Main Results:
- Exact numerical results for FCS at finite temperatures for a 1D tight-binding model.
- An explicit expression for the cumulant generating function for a quantum dot system connecting two quasi-1D leads.
Conclusions:
- The study provides a method for calculating FCS in interacting electron systems.
- The generalized formula extends the applicability of the Levitov-Lesovik formula to more complex quantum dot architectures.
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