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Monday [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 __________________________________________________________________________ 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 __________________________________________________________________________ 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.
Monday Single-Electron Tunneling and the Fluctuation Theorem Gerd Schön 1 , Y. Utsumi 2 , D. S. Golubev 1 , M. Marthaler 1 1 Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, 76128 Karlsruhe, Germany 2 Department of Physics Engineering, Faculty of Engineering, Mie University, Tsu, Mi-e, 514- 8507, Japan Experiments on the direction-resolved full-counting statistics of single-electron tunneling allow testing the fundamentally important Fluctuation Theorem (FT). At the same time, the FT provides a frame for analyzing such data. Here we consider tunneling through a double quantum dot (DQD) system which is coupled capacitively to a quantum point contact (QPC) detector. Fluctuations of the environment, including the shot noise of the QPC, lead to an enhancement of the effective temperature in the FT. We provide a quantitative explanation of this effect [1]. In addition we discuss the influence of the finite detector bandwidth on the measurements. Furthermore, we derive the full counting statistics for the coupled DQD - QPC system and obtain the joint probability distribution of the charges transferred through the DQD and the QPC, which is consistent with the fluctuation theorem (FT) [2]. The system can be described by a master equation with tunneling rates depending of the counting fields and satisfying a generalized local detailed-balance relation. [1] Bidirectional Single-Electron Counting and the Fluctuation Theorem, Y. Utsumi, D.S. Golubev, M. Marthaler, K. Saito, T. Fujisawa, and G. Schön, Phys. Rev. B 81, 125331 (2010) [2] Fluctuation theorem for a double quantum dot coupled to a point-contact electrometer, D.S. Golubev, Y. Utsumi, M. Marthaler, G. Schön, Phys. Rev. B 84, 075323 (2011) __________________________________________________________________________ Impact of nanophononics on thermoelectricity: measurements and methods Olivier Bourgeois, Christophe Blanc, Hossein Ftouni, Dimitri Taïnoff Institut Néel, Université Joseph Fourier-CNRS, 25 rue des Martyrs, BP 166, 38042 Grenoble Cedex 9, France We will review recent progresses made in nanophononics to get a better approach in energy harvesting [1,2]. The manipulation of phonons in low dimensional suspended structures opens up very important questions especially at low temperature [3,4]. Different concepts have been proposed to transform single crystalline materials into phonon glasses: phononic crystals, suspended structured membranes, nanoengineered materials. The possible reduction of phonon transport in these structures by opening a gap in the dispersion relation, by reducing the group velocities or by decreasing the phonon mean free path is a possible path towards better thermoelectrics. The measurement of very small suspended systems requires the development of highly sensitive experimental techniques. We will describe state of the art experimental methods that have been proposed for the measurement of tiny energy exchange from room temperature to very low temperature [5] (thermal conductance measurement and heat exchange in general). We will show recent experiments that play with phonons at the nanoscale. To conclude we will see that nanophononics at low temperature is still a very open subject especially with suspended systems containing electrons like graphene or two dimensional electron gas.
Page 1 and 2: 2012 22 Octobre 27 Octobre WORKSHOP
Page 3 and 4: Afternoon Morning Timetable Monday
Page 5 and 6: 15h50 - 16h20 Coffee Break 16h20 -
Page 7: Monday Abstracts Monday, October 22
Page 11 and 12: Tuesday Tuesday, October 23 Random-
Page 13 and 14: Tuesday the energy level spacings a
Page 15 and 16: Tuesday Electron refrigeration by n
Page 17 and 18: Wednesday [4] K. Saito, G. Benenti,
Page 19 and 20: Thursday [3] B. A. Bernevig, T. L.
Page 21 and 22: Thursday Electronic standing waves
Page 23 and 24: Friday Nanoscale inhomogeneities in
Page 25 and 26: Friday Electron focusing in graphem
Page 27 and 28: Friday molecules. We explain the or
Page 29 and 30: Posters Posters Ab-initio study of
Page 31 and 32: Posters Nonclassical photon-pair pr

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

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