Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states

Abstract

Edges of some quantum Hall liquids and a number of other systems exhibit chiral transport: excitations can propagate in one direction only, e.g., clockwise. We derive a family of fluctuation-dissipation relations in non-equilibrium steady states of such chiral systems. The theorems connect nonlinear response with fluctuations far from thermal equilibrium and hold only in case of chiral transport. They can be used to test chiral or non-chiral character of the system.

published version

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Cited by in corpus (18)

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• Long-Distance Entanglement of Spin Qubits via Quantum Hall Edge States
• Negative Excess Shot Noise by Anyon Braiding
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Why a noninteracting model works for shot noise in fractional charge experiments
• Edge Probes of Topological Order
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
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• Edge mode velocities in the quantum Hall effect from a dc measurement
• Anyonic analogue of optical Mach-Zehnder interferometer