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Title: Spectral narrowing and spin echo for localized carriers with heavy-tailed L evy distribution of hopping times

Abstract

We study analytically the free induction decay and the spin echo decay originating from the localized carriers moving between the sites which host random magnetic fields. Due to disorder in the site positions and energies, the on-site residence times, , are widely spread according to the L evy distribution. The power-law tail ∝ τ -1-∝ in the distribution of does not affect the conventional spectral narrowing for α > 2, but leads to a dramatic acceleration of the free induction decay in the domain 2 > α > 1. The next abrupt acceleration of the decay takes place as becomes smaller than 1. In the latter domain the decay does not follow a simple-exponent law. To capture the behavior of the average spin in this domain, we solve the evolution equation for the average spin using the approach different from the conventional approach based on the Laplace transform. Unlike the free induction decay, the tail in the distribution of the residence times leads to the slow decay of the spin echo. The echo is dominated by realizations of the carrier motion for which the number of sites, visited by the carrier, is minimal.

Authors:
 [1];  [2];  [1]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Ames Lab. and Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1326823
Report Number(s):
IS-J 9023
DOE Contract Number:  
AC02-07CH11358
Resource Type:
Thesis/Dissertation
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Yue, Z., Mkhitaryan, Vagharsh, and Raikh, M. E. Spectral narrowing and spin echo for localized carriers with heavy-tailed L evy distribution of hopping times. United States: N. p., 2016. Web. doi:10.2172/1326823.
Yue, Z., Mkhitaryan, Vagharsh, & Raikh, M. E. Spectral narrowing and spin echo for localized carriers with heavy-tailed L evy distribution of hopping times. United States. doi:10.2172/1326823.
Yue, Z., Mkhitaryan, Vagharsh, and Raikh, M. E. Tue . "Spectral narrowing and spin echo for localized carriers with heavy-tailed L evy distribution of hopping times". United States. doi:10.2172/1326823. https://www.osti.gov/servlets/purl/1326823.
@article{osti_1326823,
title = {Spectral narrowing and spin echo for localized carriers with heavy-tailed L evy distribution of hopping times},
author = {Yue, Z. and Mkhitaryan, Vagharsh and Raikh, M. E.},
abstractNote = {We study analytically the free induction decay and the spin echo decay originating from the localized carriers moving between the sites which host random magnetic fields. Due to disorder in the site positions and energies, the on-site residence times, , are widely spread according to the L evy distribution. The power-law tail ∝ τ-1-∝ in the distribution of does not affect the conventional spectral narrowing for α > 2, but leads to a dramatic acceleration of the free induction decay in the domain 2 > α > 1. The next abrupt acceleration of the decay takes place as becomes smaller than 1. In the latter domain the decay does not follow a simple-exponent law. To capture the behavior of the average spin in this domain, we solve the evolution equation for the average spin using the approach different from the conventional approach based on the Laplace transform. Unlike the free induction decay, the tail in the distribution of the residence times leads to the slow decay of the spin echo. The echo is dominated by realizations of the carrier motion for which the number of sites, visited by the carrier, is minimal.},
doi = {10.2172/1326823},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Feb 02 00:00:00 EST 2016},
month = {Tue Feb 02 00:00:00 EST 2016}
}

Thesis/Dissertation:
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