nanoelectronics - Institut d'Études Scientifiques de Cargèse (IESC)

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[2] U. Sivan and Y. Imry, Phys Rev B33, 551 (1986)
[3] Y. Imry and A. Amir, The localization transition at finite temperatures: electric and thermal
transport, in 50 years of Anderson Localization, edited by E. Abrahams (World Scientific,
Singapore, 2010) in press, arXiv:1004.0966
[4] O. Entin-Wohlman, Y. Imry and A. Aharony, Three-terminal thermoelectric transport
through a molecular junction, Phys. Rev. B 82, 115314 (2010); R.Sanchez and M.Büttiker,
ibid. 83, 085428 (2011); J-H Jiang, O. Entin-Wohlman and Y. Imry, Phys Rev B 85, 075412
(2012), and to be published.
[5] J-H Jiang, O. Entin-Wohlman and Y. Imry, in preparation
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Exact solution of a Levy walk model for anomalous heat transport
Keiji Saito
Physics Department, Keio University
Based on results obtained from a large number of numerical simulations and various
analytical approaches it is now believed that Fourier's law is not valid in one and two
dimensional mechanical systems (in particular models where momentum is conserved) and
heat conduction is anomalous. Anomalous behavior in heat conduction is not only a
theoretical issue but recently of experimental relevance in several low-dimensional material
such as carbon-nanotube, and Graphene. Indicators of the anomaly include | (i) in steady
states the dependence of the heat current J on system size L shows the scaling behavior , (ii)
the temperature profiles across systems in nonequilibrium steady states are found to be
nonlinear even for very small applied temperature diferences and, (iii) the spreading of heat
pulses in anharmonic chains is superdiusive. The Levy-walk model is known to provide a
good description of anomalous heat conduction in one-dimensional systems. In this model
the heat carriers execute Levy-walks instead of normal diffusion as expected in systems
where Fourier's law holds. Here we calculate exactly the average heat current, the large
deviation function of its fluctuations and the temperature profile of the Levy-walk model
maintained in a steady state by contact with two heat baths (the open geometry) [1]. We find
that the current is nonlocally connected to the temperature gradient. As observed in recent
simulations of mechanical models, all the cumulants of the current fluctuations have the
same system-size dependence in the open geometry. The case of the ring geometry is also
discussed.
[1] Abhishek Dhar, Keiji Saito and Bernard Derrida, arXiv:1207.1184
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Experiments on the distribution of dissipation in electron tunneling
Jukka Pekola
Aalto University, Helsinki, Finland
I discuss work, heat and fluctuation relations in single-electron tunneling driven by a gate
voltage. Our experiments confirm the validity of the most common fluctuation relations under
isothermal conditions. I discuss a feed back mechanism by which information can be
converted into energy stored in a capacitor in a single-electron circuit. Finally I propose a
measurement of work in a quantum system using a calorimetric detection.