Fast decay of eigenfunction correlators in long-range continuous random alloys

2019 ◽  
Vol 27 (1) ◽  
pp. 43-51
Author(s):  
Victor Chulaevsky
Keyword(s):  
Long Range ◽  
Exponential Decay ◽  
Interaction Potential ◽  
Dynamical Localization ◽  
Fast Decay ◽  
Euclidean Spaces ◽  
Strong Disorder ◽  
Low Energies ◽  
Media Interaction ◽  
Random Alloys

Abstract We study random Anderson Hamiltonians in Euclidean spaces with a long-range particle-media interaction potential {\mathfrak{u}(r)=r^{-A}} . Improving earlier results, for any {A>2d} , we establish spectral and strong dynamical localization with sub-exponential decay of eigenfunction correlators, both in the strong disorder regime and at low energies.

ELECTROMAGNETIC CONTROL OF DYNAMICAL LOCALIZATION CONDITIONS IN 1D LATTICES WITH LONG-RANGE INTERSITE INTERACTIONS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 149-154
Author(s):  
MARIA ANASTASIA JIVULESCU ◽  
ROSANNA MIGLIORE ◽  
ANTONINO MESSINA
Keyword(s):  
Charged Particle ◽  
Energy Spectrum ◽  
Electric Field ◽  
Long Range ◽  
Dynamical Localization ◽  
Bichromatic Field ◽  
Electromagnetic Control ◽  
Tunneling Dynamics ◽  
Localization Conditions

In this paper we investigate the possibility of controlling dynamical localization conditions for a charged particle confined in a 1D lattice biased with a dc-bichromatic field and long-range intersite interactions. We derive the quasi-energy spectrum of the system proving that the tunneling dynamics of the particle can be destroyed provided that the parameters of the external irradiating electric field are properly chosen.

Formula for the Transition Probability Induced by Long-range Potential Terms Varying as R-8 and R-10 for Atom-dimer Collisions

1990 ◽  
Vol 45 (11-12) ◽  
pp. 1354-1356
Author(s):  
Khaled Hussein
Keyword(s):  
Explicit Formula ◽  
Long Range ◽  
Interaction Potential ◽  
Transition Probability ◽  
Second Order ◽  
Range Interaction ◽  
Range Potential ◽  
Long Range Interaction

AbstractAn explicit formula is derived for the transition probability between two different states of the atom-dimer collisional system governed by second-order long-range interaction potential terms varying as R-8 and R-10.

Microwave spectroscopy and interaction potential of the long‐range He⋯Kr+ ion: An example of Hund’s case (e)

1996 ◽  
Vol 105 (19) ◽  
pp. 8602-8614 ◽  
Author(s):  
Alan Carrington ◽  
Christopher H. Pyne ◽  
Andrew M. Shaw ◽  
Susie M. Taylor ◽  
Jeremy M. Hutson ◽  
...  
Keyword(s):  
Long Range ◽  
Interaction Potential ◽  
Microwave Spectroscopy

Nucleus-Nucleus Long-Range Interaction Potential in Elastic Scattering

1964 ◽  
Vol 134 (5B) ◽  
pp. B1010-B1021 ◽  
Author(s):  
J. S. McIntosh ◽  
S. C. Park ◽  
G. H. Rawitscher
Keyword(s):  
Elastic Scattering ◽  
Long Range ◽  
Interaction Potential ◽  
Range Interaction ◽  
Long Range Interaction

Fluorescence excitation spectroscopy of ionic clusters containing the C6F+6 chromophore

1988 ◽  
Vol 324 (1578) ◽  
pp. 223-232 ◽  
Keyword(s):  
Charge Transfer ◽  
Long Range ◽  
Interaction Potential ◽  
Test Model ◽  
Ionic Clusters ◽  
Excitation Spectra ◽  
Fluorescence Excitation ◽  
Model Potentials ◽  
Fluorescence Excitation Spectra ◽  
Ion Molecule Complexes

Fluorescence excitation spectra of the ion-molecule complexes C 6 F+6•X n (X = He, Ne, Ar or N 2 ) are reported. It is shown that such data can be used to test model potentials for these complexes. For n = 1 and X = He and Ne, a simple long-range model of the interaction potential is nearly adequate, but for X = Ar it appears that a substantial charge-transfer component to the interaction is required.

Ordering Energy of B2 Alloys Calculated in the Frozen Potential and Harris Approximations

1990 ◽  
Vol 186 ◽  
Author(s):  
W. A. Shelton ◽  
D. M. Nicholson ◽  
G. M. Stocks ◽  
F. J. Pinski ◽  
D. D. Johnson ◽  
...  
Keyword(s):  
Long Range ◽  
Natural Extension ◽  
Coherent Potential Approximation ◽  
Range Order ◽  
Single Site ◽  
Long Range Order ◽  
Potential Approximation ◽  
Charge Densities ◽  
Ordered Alloys ◽  
Random Alloys

AbstractIt has been established that the coherent potential approximation can successfully describe the energy of random alloys [1]. It has also served as the basis of generalized perturbation method [2] and concentration wave [3] xscalculations of the energy of short range ordered alloys. The multisublattice coherent potential, (MCPA) is the natural extension of the CPA with which to address long range order (LRO). Using the recently developed multisublattice coherent potential approximation Korringa Kohn Rostoker [4], (MCPA-KKR) code the elgenvalue sum can be calculated as a function of LRO. This allows the evaluation of the ordering energy by either of two approximations. The frozen potential approximation (FPA) [5] assumes that the muffintin single site potentials do not change as the long range order is varied; the Harris Approximation, (HA) [6], as applied in this work, assumes that the single site charge densities do not change as the long range order is changed. These two methods of calculating the ordering energy will be compared with each other and to experiment for several systems including CuZn, NiAl, and NiAl with zinc additions.

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