Fluctuation theorems without time-reversal symmetry

Abstract

Fluctuation theorems establish deep relations between observables away from thermal equilibrium. Until recently, the research on fluctuation theorems was focused on time-reversal-invariant systems. In this review we address some newly discovered fluctuation relations that hold without time-reversal symmetry, in particular, in the presence of an external magnetic field. One family of relations connects non-linear transport coefficients in the opposite magnetic fields. Another family relates currents and noises at a fixed direction of the magnetic field in chiral systems, such as the edges of some quantum Hall liquids. We review the recent experimental and theoretical research, including the controversy on the microreversibility without time-reversal symmetry, consider the applications of fluctuation theorems to the physics of topological states of matter, and discuss open problems.

Review; references added

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Cited by in corpus (11)

• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Why a noninteracting model works for shot noise in fractional charge experiments
• Edge Probes of Topological Order
• An integral fluctuation theorem for systems with unidirectional transitions
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation relations for systems in constant magnetic field
• Fluctuation relations for spin currents
• Fluctuation relations for dissipative systems in constant external magnetic field: theory and molecular dynamics simulations
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• Edge mode velocities in the quantum Hall effect from a dc measurement
• Anyonic analogue of optical Mach-Zehnder interferometer