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Sujet de stage / Master 2 Internship

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Nonequilibrium thermoelectric transport in quantum conductors

Contact: FLEURY Genevieve, , genevieve.fleury@cea.fr, +33 1 69 08 73 47
Summary:
Theoretical and numerical study of thermoelectric transport in mesoscopic quantum conductors, in the presence of a fast-varying time-dependent parameter pushing the system out of equilibrium.
Possibility of continuation in PhD: Oui
Deadline for application:30/03/2018

Full description:
Seebeck and Peltier thermoelectric effects provide an eco-friendly way of converting heat into electricity and vice-versa. Research in thermoelectricity has been rekindled in recent years by nanostructuration and the promising perspectives it offers. Important progress has been made but it remains insufficient from a practical standpoint. It turns out that till date, research studies in thermoelectricity have overwhelmingly focused on the near equilibrium regime. Yet it is acknowledged that promising thermoelectric performances are to be expected far from equilibrium. In particular, recent theoretical works suggest that the thermoelectric efficiency of nanodevices should be greatly enhanced by using an external time-dependent parameter driving the system out of equilibrium [1].

On the other hand, technical progress has led to the emergence of new experiments in nanoelectronics, operating at high frequency, in the GHz range or above (see for instance the realization of the first single “Leviton” source in SPEC, CEA-Saclay [2]). These experiments show that brand new studies probing dynamic TE transport in nanodevices are within grasp, from a technical standpoint. They also raise important fundamental questions about energy transfers at short length and time scales.

The goal of the internship is to start a theoretical and numerical investigation of time-dependent thermoelectric conversion in mesoscopic conductors. Using the numerical tools and analytical framework recently developed by our collaborators at INAC, CEA-Grenoble, for the study of time-resolved quantum transport in nanodevices [3], we will build up a numerical platform suitable for the study of dynamic thermal and thermoelectric transport and we will test it on a simple model analytically solved in [1]. At longer term, the platform will allow us to investigate various systems (made of semiconductor, graphene, superconductor, ...). Our approach will be also relevant for other current issues in quantum thermodynamics.

REFERENCES
[1] Boosting thermoelectric efficiency using time-dependent control, H. Zhou, J. Thingna, P. Hänggi, J.-S. Wang & B. Li, Scientific Reports 5, 14870 (2015)
[2] Minimal-excitation states for electron quantum optics using levitons, J. Dubois, T. Jullien, F. Portier, P. Roche, A. Cavanna, Y. Jin, W. Wegscheider, P. Roulleau & D. C. Glattli, Nature 502, 659 (2013)
[3] Numerical simulations of time resolved quantum electronics, B. Gaury, J. Weston, M. Santin, M. Houzet, C. Groth & X. Waintal, Physics Reports 534, 1 (2014). See also https://kwant-project.org/
Technics/methods used during the internship:
Landauer-Büttiker formalism, nonequilibrium Green's function

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