The low-energy (intraband) range of the third harmonic generation graphene in terahertz regime is governed by damping terms induced interactions. A controlled many-body description scattering processes thus a compelling and desirable requirement. In this paper, using Kadanoff-Baym approach, we systematically investigate impact interaction on graphene, taking elastic impurity as benchmark exampl...

Linear mixed models with large imbalanced crossed random effects structures pose severe computational problems for maximum likelihood estimation and for Bayesian analysis. The costs can grow as fast as N3/2 when there are N observations. Such problems arise in any setting where the underlying factors satisfy a many to many relationship (instead of a nested one) and in electronic commerce applic...

Many-body localization (MBL) is a mechanism by which quantum chains with strong enough disorder can avoid thermalization. Here, the authors define and locate several distinct landmarks having to do thermalization, rare many-body resonances, so-called thermal avalanches in systems that exhibit MBL. These are well separated strength of disorder, estimate where MBL breaks down asymptotically large...