Wegner estimates and anderson localization for alloy-type potentials

1996 ◽  
Vol 221 (1) ◽  
pp. 507-512 ◽  
Author(s):  
W. Kirsch
Keyword(s):  
Anderson Localization ◽  
Alloy Type ◽  
Wegner Estimates

scholarly journals Wegner estimate and localization for alloy-type models with sign-changing exponentially decaying single-site potentials

2015 ◽  
Vol 27 (04) ◽  
pp. 1550007 ◽  
Author(s):  
Karsten Leonhardt ◽  
Norbert Peyerimhoff ◽  
Martin Tautenhahn ◽  
Ivan Veselić
Keyword(s):  
Multiscale Analysis ◽  
Step Function ◽  
Single Site ◽  
Energy Interval ◽  
Wegner Estimate ◽  
Alloy Type ◽  
Fixed Sign ◽  
Wegner Estimates ◽  
Single Site Potential ◽  
The Continuum

We study Schrödinger operators on L2(ℝd) and ℓ2(ℤd) with a random potential of alloy-type. The single-site potential is assumed to be exponentially decaying but not necessarily of fixed sign. In the continuum setting, we require a generalized step-function shape. Wegner estimates are bounds on the average number of eigenvalues in an energy interval of finite box restrictions of these types of operators. In the described situation, a Wegner estimate, which is polynomial in the volume of the box and linear in the size of the energy interval, holds. We apply the established Wegner estimate as an ingredient for a localization proof via multiscale analysis.

scholarly journals Polaronic conduction and Anderson localization in reduced strontium barium niobate

2015 ◽  
Vol 107 (23) ◽  
pp. 232901 ◽  
Author(s):  
Christopher S. Dandeneau ◽  
YiHsun Yang ◽  
Marjorie A. Olmstead ◽  
Rajendra K. Bordia ◽  
Fumio S. Ohuchi
Keyword(s):  
Anderson Localization ◽  
Strontium Barium Niobate ◽  
Strontium Barium

scholarly journals Wegner Estimate for Discrete Alloy-type Models

2010 ◽  
Vol 11 (5) ◽  
pp. 991-1005 ◽  
Author(s):  
Ivan Veselić
Keyword(s):  
Wegner Estimate ◽  
Alloy Type

scholarly journals Anomalous Anderson localization behavior in gain-loss balanced non-Hermitian systems

Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Random Media ◽  
Normal Incidence ◽  
Disordered Media ◽  
One Dimensional ◽  
Gain Loss ◽  
The Waves ◽  
Localization Behavior

AbstractIt has been shown recently that the backscattering of wave propagation in one-dimensional disordered media can be entirely suppressed for normal incidence by adding sample-specific gain and loss components to the medium. Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered so that the Anderson localization occurs. Our results show that the Anderson localization in the non-Hermitian system behaves differently from random Hermitian systems in which the backscattering is suppressed.

scholarly journals Anderson localization effects on the doped Hubbard model

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Nathan Giovanni ◽  
Marcello Civelli ◽  
Maria C. O. Aguiar
Keyword(s):  
Hubbard Model ◽  
Anderson Localization

scholarly journals Synthesis of new high-entropy alloy-type Nb3 (Al, Sn, Ge, Ga, Si) superconductors

2021 ◽  
Vol 868 ◽  
pp. 159233
Author(s):  
Aichi Yamashita ◽  
Tatsuma D. Matsuda ◽  
Yoshikazu Mizuguchi
Keyword(s):  
High Entropy Alloy ◽  
High Entropy ◽  
Alloy Type
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