Soutenance de thèse: Shuang Wu
Soutenance de thèse:
Algebraic area distribution of two dimensional random walks and the Hofstadter model
par
Shuang Wu
Jury:
- Rapporteur: Sergei Matveenko (Landau Institute for Theoretical Physics, Moscow, Russia)
- Rapporteur: Alexios Polychronakos (The City College of New York, USA)
- Examinateur: Angel Alastuey (Laboratoire de Physique, ENS Lyon)
- Examinateur: Vincent Pasquier (IPhT, CEA Saclay)
- Examinatrice: Didina Serban (IPhT, CEA Saclay)
- Invité: Olivier Giraud (LPTMS, Université Paris-Sud)
- Directeur de thèse: Stéphane Ouvry (LPTMS, Université Paris-Sud)
Résumé:
This thesis is about the Hofstadter model, i.e, a single electron moving on a two-dimensional lattice coupled to a perpendicular homogeneous magnetic field. Its spectrum is one of the famous fractals in quantum mechanics, known as the Hofstadter’s butterfly. There are two main subjects in this thesis: the first is the study of the deep connection between the Hofstadter model and the distribution of the algebraic area enclosed by two-dimensional random walks. The second focuses on the distinctive features of the Hofstadter’s butterfly and the study of the bandwidth of the spectrum. We found an exact expression for the trace of the Hofstadter Hamiltonian in terms of the Kreft coefficients, and for the higher moments of the bandwidth.
Date/Time : 22/11/2018 - 14:30 - 17:00
Location : IPN-batiment 100, Auditoriurm
Upcoming seminars
- Séminaire du LPTMS : Valentina Ros (LPTMS) - 19 Jan 2021 - 11:00
- Séminaire du LPTMS : Matthieu Mangeat (Saarland University) - 26 Jan 2021 - 11:00
- Séminaire du LPTMS : Pierre Suret (PhLAM - Lille) - 2 Fév 2021 - 11:00
- Séminaire du LPTMS : Alberto Biella (LPTMS) - 9 Fév 2021 - 11:00
- Séminaire du LPTMS : Francesca Pietracaprina (Trinity College Dublin) - 2 Mar 2021 - 11:00
- Séminaire du LPTMS : Blagoje Oblak (Sorbonne Université) - 9 Mar 2021 - 11:00
- Séminaire du LPTMS : Laura Foini (IPhT - CEA) - 13 Avr 2021 - 11:00