Quantum Transport and electronic Interferences at the mesoscopic (...) - Département de Physique de l'Ecole Normale supérieure

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Quantum Transport and electronic Interferences at the mesoscopic Scale

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Faculty: Richard DEBLOCK and Takis KONTOS
Tutor: François MALLET
Condensed Matter Physics: Option
Macroscopic Physics and Complexity: Option
Quantum Physics: Option
Theoretical Physics: Option
ECTS credits: 6
Language of instruction: English
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Description

These lectures are devoted to electronic transport at very low temperature when the inelastic scattering rate, breaking the phase coherence of electronic wave functions, become small compared to the elastic one due to static disorder. In most conductors below 1K, one can define a phase coherence length of the order of one micron below which the transport becomes mesoscopic with specific signatures of quantum interferences of electronic wave functions. These are for example reproducible conductance fluctuations, Anderson localisation or persistent currents in ring geometries.

We will insist on the role played by the magnetic field, more precisely by the vector potential which is used to modulate the phase of electronic wave functions giving rise to the Aharonov Bohm effect .

We will introduce and discuss the concepts of quantum conductance, conductance channels in ballistic and diffusive conductors. The measurement of the conductance of a mesoscopic phase coherent conductor involves its coupling to a macroscopic apparatus and rises fundamental problems. In particular we will emphasize the difference between the Kubo conductance current response to an electromotive force and the Landauer conductance, current response to a potential drop.

These quantum effects are enhanced as the electron gas is confined and the dimensionality of the conductors is reduced. In such systems, electron-electron interactions dramatically modify electrical transport. We will illustrate various key concepts of this field by using examples of recent studies on carbon based conductors and, in particular, graphene and carbon nanotubes.

We will discuss phenomena related to electronic interactions such as the Coulomb blockade or the Kondo effect in individual quantum dots or circuits containing several quantum dots, generalizing to the important case of hybrid structures.

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Next student seminar :
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Experimental Internship - Undergraduate program
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November 14 - 18, 2022 :
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Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Quantum Transport and electronic Interferences at the mesoscopic Scale

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