RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



TMF:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


TMF, 2019, Volume 201, Number 2, Pages 280–290 (Mi tmf9608)  

Magnetic susceptibility of a diluted Ising magnet

S. V. Semkin, V. P. Smagin, E. G. Gusev

Vladivostok State University of Economics and Service, Vladivistok, Russia

Abstract: For the Ising model with nonmagnetic dilution, we consider a method for constructing the “pseudochaotic” impurity distribution based on the condition that the position correlation of movable impurity atoms in neighboring sites vanishes. For the one-dimensional Ising model with nonmagnetic dilution, we find the exact solution and show that the pseudochaotic approximation method gives the exact value of the magnetic susceptibility for this model in a zero external field. We assume that the pseudochaotic impurity distribution is completely uncorrelated in the region of zero magnetization for any lattice. This assumption is based on calculating the correlation functions for the Ising model with nonmagnetic dilution on the Bethe lattice. We find the magnetic susceptibility for that model.

Keywords: Ising model, diluted magnet, Bethe lattice, magnetic susceptibility.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation 3.7009.2017/БЧ
This research was supported by the Ministry of Education and Science of the Russia Federation (Project No. 3.7009.2007 of the basic part of the State Mission for State Projects in science).

Author to whom correspondence should be addressed

DOI: https://doi.org/10.4213/tmf9608

Full text: PDF file (331 kB)
First page: PDF file
References: PDF file   HTML file

English version:
Theoretical and Mathematical Physics, 2019, 201:2, 1655–1663

Bibliographic databases:

Received: 01.08.2018
Revised: 11.04.2019

Citation: S. V. Semkin, V. P. Smagin, E. G. Gusev, “Magnetic susceptibility of a diluted Ising magnet”, TMF, 201:2 (2019), 280–290; Theoret. and Math. Phys., 201:2 (2019), 1655–1663

Citation in format AMSBIB
\Bibitem{SemSmaGus19}
\by S.~V.~Semkin, V.~P.~Smagin, E.~G.~Gusev
\paper Magnetic susceptibility of a~diluted Ising magnet
\jour TMF
\yr 2019
\vol 201
\issue 2
\pages 280--290
\mathnet{http://mi.mathnet.ru/tmf9608}
\crossref{https://doi.org/10.4213/tmf9608}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2019TMP...201.1655S}
\transl
\jour Theoret. and Math. Phys.
\yr 2019
\vol 201
\issue 2
\pages 1655--1663
\crossref{https://doi.org/10.1134/S0040577919110096}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85076372348}


Linking options:
  • http://mi.mathnet.ru/eng/tmf9608
  • https://doi.org/10.4213/tmf9608
  • http://mi.mathnet.ru/eng/tmf/v201/i2/p280

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
    Number of views:
    This page:44
    References:5
    First page:3

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020