Loading [MathJax]/jax/output/SVG/config.js
Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
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

Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 169, Number 2, Pages 179–193
DOI: https://doi.org/10.4213/tmf6720 (Mi tmf6720) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Ising limit of a Heisenberg $XXZ$ magnet and some temperature correlation functions

N. M. Bogolyubov, K. L. Malyshev

St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia
Full-text PDF (581 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6720
Abstract: We consider the Heisenberg spin-$1/2$ $XXZ$ magnet in the case where the anisotropy parameter tends to infinity (the so-called Ising limit). We find the temperature correlation function of a ferromagnetic string above the ground state. Our approach to calculating correlation functions is based on expressing the wave function in the considered limit in terms of Schur symmetric functions. We show that the asymptotic amplitude of the above correlation function at low temperatures is proportional to the squared number of strict plane partitions in a box.
Keywords: Heisenberg magnet, Ising limit, correlation function.
English version:
Theoretical and Mathematical Physics, 2011, Volume 169, Issue 2, Pages 1517–1529
DOI: https://doi.org/10.1007/s11232-011-0129-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. M. Bogolyubov, K. L. Malyshev, “Ising limit of a Heisenberg $XXZ$ magnet and some temperature correlation functions”, TMF, 169:2 (2011), 179–193; Theoret. and Math. Phys., 169:2 (2011), 1517–1529
Citation in format AMSBIB
\Bibitem{BogMal11}
\by N.~M.~Bogolyubov, K.~L.~Malyshev
\paper Ising limit of a~Heisenberg $XXZ$ magnet and some temperature correlation functions
\jour TMF
\yr 2011
\vol 169
\issue 2
\pages 179--193
\mathnet{http://mi.mathnet.ru/tmf6720}
\crossref{https://doi.org/10.4213/tmf6720}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3171182}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011TMP...169.1517B}
\transl
\jour Theoret. and Math. Phys.
\yr 2011
\vol 169
\issue 2
\pages 1517--1529
\crossref{https://doi.org/10.1007/s11232-011-0129-4}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000297912700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055179539}
Linking options:
  • https://www.mathnet.ru/eng/tmf6720
  • https://doi.org/10.4213/tmf6720
  • https://www.mathnet.ru/eng/tmf/v169/i2/p179
    • This publication is cited in the following 7 articles:
    1. Lenart Zadnik, Juan P. Garrahan, “Slow heterogeneous relaxation due to constraints in dual XXZ models”, Phys. Rev. B, 108:10 (2023)  crossref
    2. Pozsgay B. Gombor T. Hutsalyuk A. Jiang Yu. Pristyak L. Vernier E., “Integrable Spin Chain With Hilbert Space Fragmentation and Solvable Real-Time Dynamics”, Phys. Rev. E, 104:4 (2021), 044106  crossref  mathscinet  isi
    3. Lenart Zadnik, Maurizio Fagotti, “The Folded Spin-1/2 XXZ Model: I. Diagonalisation, Jamming, and Ground State Properties”, SciPost Phys. Core, 4:2 (2021)  crossref
    4. Saeedian M. Zahabi A., “Exact Solvability and Asymptotic Aspects of Generalized Xx0 Spin Chains”, Physica A, 549 (2020), 124406  crossref  mathscinet  isi
    5. N. M. Bogolyubov, K. L. Malyshev, “Integrable models and combinatorics”, Russian Math. Surveys, 70:5 (2015), 789–856  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    6. J. Math. Sci. (N. Y.), 216:1 (2016), 8–22  mathnet  crossref  mathscinet
    7. Bogoliubov N.M. Malyshev C., “Correlation Functions of Xxo Heisenberg Chain, Q-Binomial Determinants, and Random Walks”, Nucl. Phys. B, 879 (2014), 268–291  crossref  mathscinet  zmath  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:802
    Full-text PDF :241
    References:103
    First page:13
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025