Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTMS
Subjects cond-mat.stat-mech
Date Tuesday 26 September 2023
Time 11:00
Institute LPTMS
Seminar Room Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530
Speaker's Last Name Dumaz
Speaker's First Name Laure
Speaker's Email Address
Speaker's Institution DMA, ENS Paris
Title Some aspects of the Anderson Hamiltonian in 1D
Abstract In this talk, I will present several results on the Anderson Hamiltonian with white noise potential in dimension 1. This operator formally writes « – Laplacian + white noise ». It arises as the scaling limit of various discrete models and its explicit potential allows for a detailed description of its spectrum. We will discuss localization of its eigenfunctions as well as the behavior of the local statistics of its eigenvalues. Around large energies, we will see that the eigenfunctions are delocalized and follow a universal shape given by the exponential of a Brownian motion plus a drift, a behavior already observed by Rifkind and Virag in tridiagonal matrix models. Based on joint works with Cyril Labbé.
arXiv Preprint Number

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