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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2020, Volume 111, Issue 12, Pages 820–825
DOI: https://doi.org/10.31857/S1234567820120071
(Mi jetpl6197)
 

This article is cited in 2 scientific papers (total in 2 papers)

CONDENSED MATTER

RKKY interaction in a one-dimensional crystal taking into account disorder and temperature

K. A. Baryshnikov, I. V. Krainov

Ioffe Institute, Russian Academy of Science, St. Petersburg, 194021 Russia
Full-text PDF (158 kB) Citations (2)
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Abstract: An analytical expression for the energy of indirect exchange interaction of two magnetic impurities in a one-dimensional crystal has been obtained taking into account both disorder and temperature. The inclusion of even a weak disorder in a one-dimensional crystal leads to the localization of charge carriers in it and, as a result, to the suppression of the long-range indirect exchange interaction (RKKY interaction) between two magnetic impurities at the localization length of charge carriers. An increase in the temperature, in turn, causes the disappearance of electron density coherence, which provides the RKKY interaction. It has been shown that these two effects are independent of each other and exponentially suppress the exchange interaction with an increase in the distance between the impurities. Another important manifestation of disorder is a change in the power dependence on the distance between the impurities: the RKKY interaction decreases with distance faster than $1/r$.
Funding agency Grant number
Russian Science Foundation 18-72-00115
Foundation for the Development of Theoretical Physics and Mathematics BASIS
This work was supported by the Russian Science Foundation (project no. 18-72-00115, analytical theory). I.V. Krainov also acknowledges the support of the Foundation for the Advancement of Theoretical Physics and Mathematics BASIS.
Received: 18.04.2020
Revised: 03.05.2020
Accepted: 04.05.2020
English version:
Journal of Experimental and Theoretical Physics Letters, 2020, Volume 111, Issue 12, Pages 703–708
DOI: https://doi.org/10.1134/S0021364020120061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: K. A. Baryshnikov, I. V. Krainov, “RKKY interaction in a one-dimensional crystal taking into account disorder and temperature”, Pis'ma v Zh. Èksper. Teoret. Fiz., 111:12 (2020), 820–825; JETP Letters, 111:12 (2020), 703–708
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/jetpl/v111/i12/p820
  • This publication is cited in the following 2 articles:
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    Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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