scholarly journals Eigensystem bootstrap multiscale analysis for the Anderson model

2018 ◽  
Vol 8 (3) ◽  
pp. 1149-1197 ◽  
Author(s):  
Abel Klein ◽  
Chi Shing Sidney Tsang
Keyword(s):  
Anderson Model ◽  
Multiscale Analysis

scholarly journals Multiparticle Localization at Low Energy for Multidimensional Continuous Anderson Models

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Trésor Ekanga
Keyword(s):  
Probability Distribution ◽  
Anderson Model ◽  
Multiscale Analysis ◽  
Random Potential ◽  
Particle Interaction ◽  
Low Energy ◽  
Dynamical Localization ◽  
Hölder Continuous ◽  
The Continuum ◽  
Number Of Particles

We study the multiparticle Anderson model in the continuum and show that under some mild assumptions on the random external potential and the inter-particle interaction, for any finite number of particles, the multiparticle lower spectral edges are almost surely constant in absence of ergodicity. We stress that this result is not quite obvious and has to be handled carefully. In addition, we prove the spectral exponential and the strong dynamical localization of the continuous multiparticle Anderson model at low energy. The proof based on the multiparticle multiscale analysis bounds needs the values of the external random potential to be independent and identically distributed, whose common probability distribution is at least Log-Hölder continuous.

scholarly journals Eigensystem Multiscale Analysis for the Anderson Model via the Wegner Estimate

2020 ◽  
Vol 21 (7) ◽  
pp. 2301-2326
Author(s):  
Alexander Elgart ◽  
Abel Klein
Keyword(s):  
Anderson Model ◽  
Multiscale Analysis ◽  
Wegner Estimate

scholarly journals The Bootstrap Multiscale Analysis for the Multi-particle Anderson Model

2013 ◽  
Vol 151 (5) ◽  
pp. 938-973 ◽  
Author(s):  
Abel Klein ◽  
Son T. Nguyen
Keyword(s):  
Anderson Model ◽  
Multiscale Analysis

Superconducting instability in the periodic Anderson model

1998 ◽  
Vol 78 (4) ◽  
pp. 365-374 ◽  
Author(s):  
A. N.Tahvildar-Zadeh, M. H. Hettler, M
Keyword(s):  
Anderson Model ◽  
Periodic Anderson Model
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