scholarly journals Three-dimensional Anderson model of localization with binary random potential

2003 ◽  
Vol 68 (6) ◽  
Author(s):  
I. V. Plyushchay ◽  
R. A. Römer ◽  
M. Schreiber
Keyword(s):  
Anderson Model ◽  
Random Potential ◽  
Three Dimensional

Theory of Superconductivity in CeCoIn5on the Basis of a Three-Dimensional Periodic Anderson Model

2006 ◽  
Vol 75 (Suppl) ◽  
pp. 250-252 ◽  
Author(s):  
Kazunori Tanaka ◽  
Hiroaki Ikeda ◽  
Yunori Nisikawa ◽  
Kosaku Yamada
Keyword(s):  
Anderson Model ◽  
Three Dimensional ◽  
Periodic Anderson Model ◽  
Theory Of Superconductivity

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.

THE INVARIANT MEASURES AT WEAK DISORDER FOR THE TWO-LINE ANDERSON MODEL

2004 ◽  
Vol 16 (05) ◽  
pp. 639-673
Author(s):  
T. C. DORLAS ◽  
J. V. PULÉ
Keyword(s):  
Projective Space ◽  
Anderson Model ◽  
Invariant Measures ◽  
Three Dimensional ◽  
Weak Disorder ◽  
Single Chain ◽  
Zero Energy ◽  
Dimensional Projective Space

We study the invariant measures in the weak disorder limit, for the Anderson model on two coupled chains. These measures live on a three-dimensional projective space, and we use a total set of functions on this space to characterize the measures. We find that at several points of the spectrum, there are anomalies similar to that first found by Kappus and Wegner for the single chain at zero energy.

scholarly journals Numerical study of the overlap Lee–Yang singularities in the three-dimensional Edwards–Anderson model

2013 ◽  
Vol 2013 (02) ◽  
pp. P02031 ◽  
Author(s):  
R A Baños ◽  
J M Gil-Narvion ◽  
J Monforte-Garcia ◽  
J J Ruiz-Lorenzo ◽  
D Yllanes
Keyword(s):  
Anderson Model ◽  
Numerical Study ◽  
Three Dimensional
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