Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field

TL;DR

This paper explores the symmetry properties of full counting statistics in quantum-dot electron transport under magnetic fields, deriving fundamental relations like the fluctuation theorem and nonlinear transport coefficient relations.

Contribution

It introduces a generalized symmetry of the cumulant generating function in quantum transport, extending the fluctuation theorem and deriving new relations among nonlinear transport coefficients.

Findings

Microscopic reversibility leads to cumulant generating function symmetry.

Derived Onsager-Casimir relations in linear transport.

Established universal relations among nonlinear transport coefficients.

Abstract

We study full counting statistics of coherent electron transport through multi-terminal interacting quantum-dots under a finite magnetic field. Microscopic reversibility leads to the symmetry of the cumulant generating function, which generalizes the fluctuation theorem in the context of quantum transport. Using this symmetry, we derive the Onsager-Casimir relation in the linear transport regime and universal relations among nonlinear transport coefficients.