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Russian Mathematical Surveys, 1983, Volume 38, Issue 4, Pages 235–257
DOI: https://doi.org/10.1070/RM1983v038n04ABEH004211
(Mi rm2952)
 

This article is cited in 25 scientific papers (total in 26 papers)

Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction

S. E. Burkov, Ya. G. Sinai
References:
Received: 08.02.1983
Bibliographic databases:
Document Type: Article
UDC: 531.19
MSC: 82B20, 28A78, 26A30
Language: English
Original paper language: Russian
Citation: S. E. Burkov, Ya. G. Sinai, “Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction”, Russian Math. Surveys, 38:4 (1983), 235–257
Citation in format AMSBIB
\Bibitem{BurSin83}
\by S.~E.~Burkov, Ya.~G.~Sinai
\paper Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 4
\pages 235--257
\mathnet{http://mi.mathnet.ru/eng/rm2952}
\crossref{https://doi.org/10.1070/RM1983v038n04ABEH004211}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=710121}
\zmath{https://zbmath.org/?q=an:0989.82517}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1983RuMaS..38..235B}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1983TA39200010}
Linking options:
  • https://www.mathnet.ru/eng/rm2952
  • https://doi.org/10.1070/RM1983v038n04ABEH004211
  • https://www.mathnet.ru/eng/rm/v38/i4/p205
  • This publication is cited in the following 26 articles:
    1. A. Flack, A. Gorsky, S. Nechaev, “Generalized Devil's staircase and RG flows”, Nuclear Physics B, 996 (2023), 116376  crossref
    2. L. A. Pastur, V. V. Slavin, A. A. Krivchikov, “One-dimensional narrow-band conductors”, Low Temperature Physics, 47:9 (2021), 715  crossref
    3. Massimo Ostilli, Carlo Presilla, “Wigner Crystallization of Electrons in a One-Dimensional Lattice: A Condensation in the Space of States”, Phys. Rev. Lett., 127:4 (2021)  crossref
    4. Andrea Di Gioacchino, Marco Gherardi, Luca Guido Molinari, Pietro Rotondo, Toward a Science Campus in Milan, 2018, 193  crossref
    5. Jorge Littin, Pierre Picco, “Quasi-additive estimates on the Hamiltonian for the one-dimensional long range Ising model”, Journal of Mathematical Physics, 58:7 (2017)  crossref
    6. Marzio Cassandro, Immacolata Merola, Pierre Picco, “Phase Separation for the Long Range One-dimensional Ising Model”, J Stat Phys, 167:2 (2017), 351  crossref
    7. Takeshi Y. Saito, Shunsuke Furukawa, “Devil's staircases in synthetic dimensions and gauge fields”, Phys. Rev. A, 95:4 (2017)  crossref
    8. Pietro Rotondo, Luca Guido Molinari, Piergiorgio Ratti, Marco Gherardi, “Devil's Staircase Phase Diagram of the Fractional Quantum Hall Effect in the Thin-Torus Limit”, Phys. Rev. Lett., 116:25 (2016)  crossref
    9. L. A. Pastur, V. V. Slavin, A. A. Krivchikov, “Ground state of one-dimension repulsing particles on disordered lattice”, Int. J. Mod. Phys. C, 2014, 1450028  crossref
    10. Marzio Cassandro, Immacolata Merola, Pierre Picco, Utkir Rozikov, “One-Dimensional Ising Models with Long Range Interactions: Cluster Expansion, Phase-Separating Point”, Commun. Math. Phys, 2014  crossref
    11. Gibbs Measures and Phase Transitions, 2011, 495  crossref
    12. V. V. Slavin, “Monte Carlo simulation of a two-dimensional electron gas on a disordered host lattice”, Low Temp Phys, 36:3 (2010), 243  crossref  adsnasa  isi
    13. V. V. Slavin, “Low-temperature thermodynamics of two-dimensional electron gas on disordered host lattice”, Low Temp Phys, 35:2 (2009), 149  crossref  adsnasa  isi  elib
    14. F. J. Burnell, Meera M. Parish, N. R. Cooper, S. L. Sondhi, “Devil’s staircases and supersolids in a one-dimensional dipolar Bose gas”, Phys Rev B, 80:17 (2009), 174519  crossref  adsnasa  isi
    15. V. Slavin, “Low-energy spectrum of one-dimensional generalized Wigner lattice”, phys stat sol (b), 242:10 (2005), 2033  crossref  adsnasa  isi
    16. V. Slavin, “Low-temperature thermodynamic properties of one-dimensional disordered electron lattice system”, phys stat sol (b), 241:13 (2004), 2928  crossref  adsnasa  isi
    17. V.V. Slavin, “Low-temperature thermodynamic properties of a one-dimensional disordered electron lattice system”, Solid State Communications, 131:6 (2004), 355  crossref  elib
    18. M.M. Kipnis, 2003 IEEE International Workshop on Workload Characterization (IEEE Cat. No.03EX775), 2003, 76  crossref
    19. Azer Kerimov, “The relationship between phase transitions and percolation in models with ground-state degeneracy”, J Phys A Math Gen, 35:26 (2002), 5365  crossref  mathscinet  zmath  isi  elib
    20. L. K. Bakalinski, “The Boolean average dynamics in one-dimensional lattice models with anatiferromagnetic interaction”, Theoret. and Math. Phys., 117:3 (1998), 1453–1458  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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