Chirality and fluctuation relations in mesoscopic tranpsort

Tuesday 31st August 2010 at 4pm

CNRS Bât E, conference room "Louis Weil" on 3rd floor

Markus BUTTIKER (University of Geneva, Switzerland)

The linear conductance of a two terminal conductor is even under magnetic field reversal and through the Nyquist-Johnson relation connected to the equilibrium current noise. Already the quadratic in voltage term of the current-voltage relation (the second order conductance) is typically asymmetrical in magnetic field. Such chirality is obtained in theory and has been observed in experiments. Does this chirality have a signature in the noise of the sample? Is there a Nyquist-Johnson type relation between rectification coefficients and current fluctuations? We show that this indeed the case and discuss a higher-order fluctuation relation. We discuss different theories and suggest possible experiments [1-3] to test such non-equilibrium relations in mesoscopic and nearly macroscopic conductors.

[1]  H. Forster and M. Buttiker, PRL 101, 136805 (2008). See also arXiv: 0903.1431
[2]  R. Sanchez, R. Lopez, D. Sanchez, and M. Buttiker, PRL 104, 076801 (2010).
[3]  K. E. Nagaev, O. S. Ayvazyan, N. Yu. Sergeeva, and M. Buttiker, arXiv: 1004.5310