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

By Keiji Saito, Y. Utsumi. 2007

140 citations recorded by the source corpus.

We study the full counting statistics of electron transport through multiterminal interacting quantum dots under a finite magnetic field. Microscopic reversibility leads to a symmetry of the cumulant generating function, which generalizes the fluctuation theorem in the context of the quantum transport. Using the symmetry, we derive the Onsager-Casimir relations in the linear transport regime and universal relations among nonlinear transport coefficients. One of the measurable relations is that the nonlinear conductance, the second-order coefficient with respect to the bias voltage, is connected to the third current cumulant in equilibrium, which can be a finite and uneven function of the magnetic field for two-terminal noncentrosymmetric system.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1b86da1f597ae14422cff08cc0cdd3de67848174

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

In Statistical and Nonlinear Physics

Citations in the corpus

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems (2008, methodology): “The derivation of a steady-state FT for quantum systems has been considered as well [3, 8, 35, 46, 54, 56, 89, 99, 149, 151, 153, 154, 180].”
Stochastic thermodynamics, fluctuation theorems and molecular machines (2012, unknown): “, [227, 228, 272–282].”
Colloquium: Quantum fluctuation relations: Foundations and applications (2010, background): “This situation was later generalized by Saito and Utsumi (2008) and Andrieux et al. (2009), to allow for the exchange of energy and particles between several interacting systems initially at different temperatures and chemical potentials; see the schematic illustration in Fig.”