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BEGIN:VEVENT
UID:0-637@lptms.universite-paris-saclay.fr
DTSTART:20181122T143000Z
DTEND:20181122T170000Z
DTSTAMP:20181009T132025Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
 se-shuang-wu/
SUMMARY:Soutenance de thèse: Shuang Wu - IPN-batiment 100\, Auditoriurm - 
 22 Nov 18 14:30
DESCRIPTION:Soutenance de thèse:\nAlgebraic area distribution of two dimen
 sional random walks and the Hofstadter model\npar\n\nShuang Wu\nJury:\n\n 
 	Rapporteur: Sergei Matveenko (Landau Institute for Theoretical Physics\, 
 Moscow\, Russia)\n 	Rapporteur: Alexios Polychronakos  (The City College 
 of New York\, USA)\n 	Examinateur: Angel Alastuey (Laboratoire de Physique
 \, ENS Lyon)\n 	Examinateur: Vincent Pasquier (IPhT\, CEA Saclay)\n 	Exami
 natrice: Didina Serban (IPhT\, CEA Saclay)\n 	Invité: Olivier Giraud (LPT
 MS\, Université Paris-Sud)\n 	Directeur de thèse: Stéphane Ouvry (LPTMS
 \, Université Paris-Sud)\n\nRésumé:\nThis thesis is about the Hofstadte
 r model\, i.e\, a single electron moving on a two-dimensional lattice coup
 led to a perpendicular homogeneous magnetic field. Its spectrum is one of 
 the famous fractals in quantum mechanics\, known as the Hofstadter's butte
 rfly. There are two main subjects in this thesis: the first is the study o
 f the deep connection between the Hofstadter model and the distribution of
  the algebraic area enclosed by two-dimensional random walks. The second f
 ocuses on the distinctive features of the Hofstadter's butterfly and the s
 tudy of the bandwidth of the spectrum. We found an exact expression for th
 e trace of the Hofstadter Hamiltonian in terms of the Kreft coefficients\,
  and for the higher moments of the bandwidth.
CATEGORIES:seminars
LOCATION:IPN-batiment 100\, Auditoriurm\, 15 Rue Georges Clemenceau\, orsay
 \, France
GEO:48.698196;2.181773
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  orsay\, France;X-APPLE-RADIUS=100;X-TITLE=IPN-batiment 100\, Auditoriurm:
 geo:48.698196,2.181773
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