Lifshitz Tails for Continuous Matrix-Valued Anderson Models

2015 ◽  
Vol 160 (2) ◽  
pp. 371-396
Author(s):  
Hakim Boumaza ◽  
Hatem Najar
Keyword(s):  
Lifshitz Tails ◽  
Anderson Models

scholarly journals Direct Scaling Analysis of Fermionic Multiparticle Correlated Anderson Models with Infinite-Range Interaction

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Victor Chulaevsky
Keyword(s):  
Dynamical Localization ◽  
Scaling Analysis ◽  
Range Interaction ◽  
Direct Scaling ◽  
Strongly Mixing ◽  
Optimal Decay ◽  
Decay Bounds ◽  
Multiparticle Systems ◽  
Infinite Range ◽  
Anderson Models

We adapt the method of direct scaling analysis developed earlier for single-particle Anderson models, to the fermionic multiparticle models with finite or infinite interaction on graphs. Combined with a recent eigenvalue concentration bound for multiparticle systems, the new method leads to a simpler proof of the multiparticle dynamical localization with optimal decay bounds in a natural distance in the multiparticle configuration space, for a large class of strongly mixing random external potentials. Earlier results required the random potential to be IID.

scholarly journals Lifshitz Tails on the Bethe Lattice: A Combinatorial Approach

2011 ◽  
Vol 145 (1) ◽  
pp. 51-92 ◽  
Author(s):  
Victor Bapst ◽  
Guilhem Semerjian
Keyword(s):  
Bethe Lattice ◽  
Combinatorial Approach ◽  
Lifshitz Tails

Adsorption on metals and semiconductors: Anderson-Newns and Haldane-Anderson models

2007 ◽  
Vol 49 (8) ◽  
pp. 1583-1588 ◽  
Author(s):  
S. Yu. Davydov ◽  
S. V. Troshin
Keyword(s):  
Anderson Models

On a Class of Stochastic Anderson Models with Fractional Noises

2008 ◽  
Vol 26 (2) ◽  
pp. 256-273 ◽  
Author(s):  
Lijun Bo ◽  
Yiming Jiang ◽  
Yongjin Wang
Keyword(s):  
Fractional Noises ◽  
Anderson Models
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