Magnetic field induced non-Gaussian fluctuations in macroscopic equilibrium systems

Abstract

We calculate the magnetic-field dependent nonlinear conductance and noise in a macroscopic inhomogeneous system. If the system does not possess a specific symmetry, the magnetic field induces a nonzero third cumulant of the current even at equilibrium. This cumulant is related to the first and second voltage derivatives of the spectral density and average current in the same way as for mesoscopic quantum-coherent systems. The system provides a robust test of a non-equilibrium fluctuation relation.

4 pages, 2 figures; published version

References in corpus (7)

• Fluctuation theorem for currents in open quantum systems
• Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
• Non-equilibrium Fluctuation Relations in a Quantum Coherent Conductor
• Inelastic Interaction Corrections and Universal Relations for Full Counting Statistics
• Magnetic field asymmetry of mesocopic dc rectification in Aharonov Bohm rings
• Rectification and nonlinear transport in chaotic dots and rings
• Magnetoasymmetric current fluctuations of single-electron tunneling

Cited by in corpus (8)

• Factorial cumulants reveal interactions in counting statistics
• Fluctuation Theorem and Microreversibility in a Quantum Coherent Conductor
• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Supersymmetry and fluctuation relations for currents in closed networks
• Dynamical Scheme for Interferometric Measurements of Full-Counting Statistics
• Fluctuation theorems without time-reversal symmetry
• Fluctuation relations for spin currents
• Nonlinear response of 2DEG in the quantum Hall regime