M2 – Ondes en milieux désordonnés et phénomènes de localisation

Waves in disordered media and localisation phenomena

 

Master iCFP, Quantum physics

2013-2017 : Course & Exercices

Course done in collaboration with Dominique Delande (Laboratoire Kastler-Brossel, UPMC, Jussieu)

Lecture’s notes : Lecture’s notes

 

Program (10 lectures) :

1. Introduction : disorder is everywhere

TD : Bloch oscillations

2. Anderson localisation in one dimension

TD : Thouless relation

TD : Localisation and Lishits tail in the Frisch-Lloyd model

3. Scaling theory

TD : The scaling approach of 1D localisation — distribution of the transmission probability

 4 to 6. Quantum transport in weakly disordered metals

TD : Classical and anomalous magneto-conductance

TD : Magneto-conductance of 2D metals

TD : Spin-orbit scattering and weak anti-localisation in metallic films

7. Universal conductance fluctuations

TD : Conductance fluctuations and correlations in narrow wires

8. Coherent back-scattering (DD)

TD : Shape of the coherent back-scattering peak

9. Self-consistent theory of localisation (DD)

TD : Kicked rotor

10. Dephasing and decoherence (DD)

 (Interaction effects, CT)

TD : Decoherence by electronic interactions — Influence functional approach

 

Exams  :

11 june 2014 : Aharonov-Bohm and Altshuler-Aronov-Spivak oscillations in rings and hollow cylinderssolutions

10 june 2015 : Role of contacts in WL measurements and nonlocality of quantum transportsolutions

08 june 2016 : Anderson localisation of cold atoms in a disordered speckle potential — solutions

29 march 2017 : Quantum electronic transport in narrow 2D disordered metallic wiressolutions

Bibliography :

  • A book (emphasize on 1D case and exact results) : J.-M. Luck, « Systèmes désordonnés unidimensionnels« , CEA, collection Aléa Saclay (1992).
  • A book (advanced, with emphasize on strong localisation) : I. M. Lifshits, S. A. Gredeskul & L. A. Pastur, « Introduction to the theory of disordered systems« , John Wiley & Sons (1988).
  • A book (introductory) : S. Datta, « Electronic transport in mesoscopic systems« , Cambridge University Press (1995)
  • A complete and pedagogical presentation (optics and electrons in parallel, emphasize on weak localisation regime) : E. Akkermans & G. Montambaux, « Mesoscopic physics of electrons and photons« , Cambridge University Press (2007) ; in french : EDP Sciences, CNRS éditions (2004)
  • Introductory articles (weak localisation regime) : B. L. Altshuler & P. A. Lee, « Disordered electronic systems« , Physics Today 41, 36-44 (1988) ; R. A. Webb & S. Washburn, « Quantum interference fluctuations in disordered metals« , Physics Today 41, 46-53 (1988) ; and, (atomic physics) : L. Sanchez-Palencia and M. Lewenstein, « Disordered quantum gases under control« , Nature Phys. 6, 87-95 (Feb. 2010).
  • Review articles (theory oriented) :
  • Review articles (experiment oriented) :

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