Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states

Details Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states Fluctuation-dissipation theorem for chiral systems in non-equilibrium steady states

2011-04-14

arxiv.org/abs/1104.2878v3

Phys. Rev. B 84, 235315 (2011)

Physics

Condensed Matter

Statistical Mechanics

detailed proof

Scientific paper

We consider a three-terminal system with a chiral edge channel connecting the source and drain terminals. Charge can tunnel between the chiral edge and a third terminal. The third terminal is maintained at a different temperature and voltage than the source and drain. We prove a general relation for the current noises detected in the drain and third terminal. It has the same structure as an equilibrium fluctuation-dissipation relation with the nonlinear response in place of the linear conductance. The result applies to a general chiral system and can be useful for detecting "upstream" modes on quantum Hall edges.

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