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Uspekhi Mat. Nauk, 1983, Volume 38, Issue 4(232), Pages 205–225 (Mi umn2952)  

This article is cited in 14 scientific papers (total in 15 papers)

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

S. E. Burkov, Ya. G. Sinai


Full text: PDF file (1074 kB)
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English version:
Russian Mathematical Surveys, 1983, 38:4, 235–257

Bibliographic databases:

UDC: 531.19
MSC: 82B20, 28A78, 26A30
Received: 08.02.1983

Citation: S. E. Burkov, Ya. G. Sinai, “Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction”, Uspekhi Mat. Nauk, 38:4(232) (1983), 205–225; Russian Math. Surveys, 38:4 (1983), 235–257

Citation in format AMSBIB
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\paper Phase diagrams of one-dimensional lattice models with long-range antiferromagnetic interaction
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\vol 38
\issue 4(232)
\pages 205--225
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\transl
\jour Russian Math. Surveys
\yr 1983
\vol 38
\issue 4
\pages 235--257
\crossref{https://doi.org/10.1070/RM1983v038n04ABEH004211}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Kerimov, “Ground states of one-dimensional antiferromagnetic models with long-range interaction”, Theoret. and Math. Phys., 58:3 (1984), 310–315  mathnet  crossref  mathscinet  isi
    2. Daniel Rockmore, Ralph Siegel, Nils Tongring, Charles Tresser, “An approach to renormalization on the n-torus”, Chaos, 1:1 (1991), 25  crossref  mathscinet  zmath
    3. Ralph M. Siegel, Charles Tresser, George Zettler, “A decoding problem in dynamics and in number theory”, Chaos, 2:4 (1992), 473  crossref  mathscinet  zmath
    4. V. V. Slavin, A. A. Slutskin, “Thermodynamics of a one-dimensional lattice system with long-range interelectron repulsion”, Phys Rev B, 54:11 (1996), 8095  crossref  adsnasa  isi
    5. S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Russian Math. Surveys, 51:4 (1996), 765–778  mathnet  crossref  crossref  mathscinet  adsnasa  isi
    6. 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
    7. 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
    8. V. Slavin, “Low-temperature thermodynamic properties of one-dimensional disordered electron lattice system”, phys stat sol (b), 241:13 (2004), 2928  crossref  adsnasa  isi
    9. V.V. Slavin, “Low-temperature thermodynamic properties of a one-dimensional disordered electron lattice system”, Solid State Communications, 131:6 (2004), 355  crossref  elib
    10. V. Slavin, “Low-energy spectrum of one-dimensional generalized Wigner lattice”, phys stat sol (b), 242:10 (2005), 2033  crossref  adsnasa  isi
    11. 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
    12. 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
    13. 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
    14. 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
    15. 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
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