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Volumn 63, Issue 4, 1999, Pages 707-727

The two-dimensional Ising model and the Kac-Ward determinant

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EID: 0141450646     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM1999v063n04ABEH000251     Document Type: Article
Times cited : (6)

References (14)
  • 1
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    • Crystal statistics. I. a two-dimensional model with an order-disorder transition
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    • (1944) Phys. Rev. , vol.65 , pp. 117-149
    • Onsager, L.1
  • 2
    • 36149015803 scopus 로고
    • Crystal statistics. II. Partition function evaluated by spinor analysis
    • B. Kaufman, "Crystal statistics. II. Partition function evaluated by spinor analysis", Phys. Rev. 76 (1949), 1232-1243.
    • (1949) Phys. Rev. , vol.76 , pp. 1232-1243
    • Kaufman, B.1
  • 3
    • 13844304606 scopus 로고
    • Crystal statistics. III. Short-range order in a binary Ising lattice
    • B. Kaufman and L. Onsager, "Crystal statistics. III. Short-range order in a binary Ising lattice", Phys. Rev. 76 (1949), 1244-1252.
    • (1949) Phys. Rev. , vol.76 , pp. 1244-1252
    • Kaufman, B.1    Onsager, L.2
  • 4
    • 0000206538 scopus 로고
    • A combinatorial solution of the two-dimensional Ising model
    • M. Kac and J. C. Ward, "A combinatorial solution of the two-dimensional Ising model", Phys. Rev. 88 (1952), 1332-1337.
    • (1952) Phys. Rev. , vol.88 , pp. 1332-1337
    • Kac, M.1    Ward, J.C.2
  • 5
    • 5544225525 scopus 로고
    • Combinatorial aspects of the Ising model for ferromagnetism. I. a conjecture of Feynman on paths and graphs
    • S. Sherman, "Combinatorial aspects of the Ising model for ferromagnetism. I. A conjecture of Feynman on paths and graphs", J. Math. Phys. 1 (1960), 202-217.
    • (1960) J. Math. Phys. , vol.1 , pp. 202-217
    • Sherman, S.1
  • 6
    • 10444266999 scopus 로고
    • Addendum: Combinatorial aspects of the Ising model for ferromagnetism
    • S. Sherman, "Addendum: Combinatorial aspects of the Ising model for ferromagnetism", J. Math. Phys. 4 (1963), 1212-1214.
    • (1963) J. Math. Phys. , vol.4 , pp. 1212-1214
    • Sherman, S.1
  • 7
    • 0000583628 scopus 로고
    • Remarks on the combinatorial approach to the Ising problem
    • P. N. Burgoyne, "Remarks on the combinatorial approach to the Ising problem", J. Math. Phys. 4 (1963), 1320-1326.
    • (1963) J. Math. Phys. , vol.4 , pp. 1320-1326
    • Burgoyne, P.N.1
  • 8
    • 0041074996 scopus 로고
    • Calculation of the statistical sum of a plane dipole lattice
    • N. V. Vdovichenko, "Calculation of the statistical sum of a plane dipole lattice", Zh. Eksper. Teoret. Fiz. 47 (1964), 715-719;
    • (1964) Zh. Eksper. Teoret. Fiz. , vol.47 , pp. 715-719
    • Vdovichenko, N.V.1
  • 9
  • 12
    • 85164648983 scopus 로고
    • English transl., Proc. Steklov Inst. Math. 1992, no. 4, 57-72.
    • (1992) Proc. Steklov Inst. Math. , Issue.4 , pp. 57-72
  • 13
    • 0002110348 scopus 로고
    • Lange Reichweite der regelmässigen Atomanordnung in Mischkristallen
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    • (1941) Z. Phys. , vol.118 , pp. 473-488
    • Van Der Waerden, B.L.1
  • 14
    • 0001506613 scopus 로고
    • On regular closed curves in the plane
    • Steklov Mathematical Institute, Russian Academy of Sciences
    • H. Whitney, "On regular closed curves in the plane", Compos. Math. 4 (1937), 276-284. Steklov Mathematical Institute, Russian Academy of Sciences
    • (1937) Compos. Math. , vol.4 , pp. 276-284
    • Whitney, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.