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UID:0-600@lptms.universite-paris-saclay.fr
DTSTART:20180702T140000Z
DTEND:20180702T170000Z
DTSTAMP:20180426T095559Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/these-aurelien-gr
 absch/
SUMMARY:Soutenance de thèse: Aurélien Grabsch - IPN-batiment 100\, Audito
 riurm - 2 Juil 18 14:00
DESCRIPTION:Soutenance de thèse :\nRandom matrix theory in statistical phy
 sics: quantum scattering and disordered systems\nby\n\nAurélien Grabsch\n
 &nbsp\;\nJury:\n\n 	Alexander Altland (University of Cologne\, Germany)\n 
 	Jean-Philippe Bouchaud (CFM\, Paris)\n 	David S. Dean (LOMA\, Université
  de Bordeaux)\n 	Yan V. Fyodorov (King's College London\, UK)\n 	Satya N. 
 Majumdar (LPTMS\, Université Paris-Sud)\, directeur de thèse\n 	Cécile 
 Monthus (IPhT\, CEA-Saclay)\n 	Christophe Texier (LPTMS\, Université Pari
 s-Sud)\, directeur de thèse\n\nAbstract:\nRandom matrix theory has applic
 ations in various fields: mathematics\, physics\, finance\, ... In physics
 \, the concept of random matrices has been used to study the electonic tra
 nsport in mesoscopic structures\, disordered systems\, quantum entanglemen
 t\, interface models in statistical physics\, cold atoms\, ... In this the
 sis\, we study coherent AC transport in a quantum dot\, properties of fluc
 tuating 1D interfaces on a substrate and topological properties of multich
 annel quantum wires.\nThe first part gives a general introduction to rando
 m matrices and to the main method used in this thesis: the Coulomb gas. Th
 is technique allows to study the distribution of observables which take th
 e form of linear statistics of the eigenvalues. These linear statistics re
 present many relevant physical observables\, in dif- ferent contexts. This
  method is then applied to study concrete examples in coherent transport a
 nd fluctuating interfaces in statistical physics.\nThe second part focuses
  on a model of disordered wires: the multichannel Dirac equation with a ra
 ndom mass. We present an extension of the powerful methods used for one di
 mensional systems to this quasi-1D situation\, and establish a link with a
  random matrix model. From this result\, we extract the density of states 
 and the localisation properties of the system. Finally\, we show that this
  system exhibits a series of topological phase transitions (change of a qu
 antum number of topological nature\, without changing the symmetries)\, dr
 iven by the disorder.
LOCATION:IPN-batiment 100\, Auditoriurm\, 15 Rue Georges Clemenceau\, orsay
 \, France
GEO:48.698196;2.181773
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 geo:48.698196,2.181773
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