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Volumn 34, Issue 19, 2001, Pages

The quantum symmetric XXZ chain at Δ = -1/2, alternating-sign matrices and plane partitions

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EID: 0035907207     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/34/19/101     Document Type: Article
Times cited : (125)

References (15)
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    • Razumov, A.V.1    Stroganov, Yu.G.2
  • 2
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    • Razumov A V and Stroganov Yu G 2001 Spin chains and combinatorics J. Phys. A: Math. Gen. 34 3185-90 (Razumov A V and Stroganov Yu G 2000 Preprint cond-mat/0012141)
    • (2000)
    • Razumov, A.V.1    Stroganov, Yu.G.2
  • 3
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    • Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems
    • Alcaraz F C, Barber M N and Batchelor M T 1988 Conformal invariance, the XXZ chain and the operator content of two-dimensional critical systems Ann. Phys., NY 182 280-343
    • (1988) Ann. Phys., NY , vol.182 , pp. 280-343
    • Alcaraz, F.C.1    Barber, M.N.2    Batchelor, M.T.3
  • 4
    • 0035815590 scopus 로고    scopus 로고
    • The importance of being odd
    • Stroganov Yu G 2001 The importance of being odd J. Phys. A: Math. Gen. 34 L179-85 (Stroganov Yu G 2000 Preprint cond-mat/0012035)
    • (2001) J. Phys. A: Math. Gen. , vol.34
    • Stroganov, Yu.G.1
  • 5
    • 0035815590 scopus 로고    scopus 로고
    • Preprint cond-mat/0012035
    • Stroganov Yu G 2001 The importance of being odd J. Phys. A: Math. Gen. 34 L179-85 (Stroganov Yu G 2000 Preprint cond-mat/0012035)
    • (2000)
    • Stroganov, Yu.G.1
  • 6
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    • Alternating sign matrices and descending plane partitions
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    • (1983) J. Combin. Theory A , vol.34 , pp. 340-359
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 9
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    • Common structures between finite systems and conformal field theories through quantum groups
    • Pasquier V and Saleur H 1990 Common structures between finite systems and conformal field theories through quantum groups Nucl. Phys. B 330 523-56
    • (1990) Nucl. Phys. B , vol.330 , pp. 523-556
    • Pasquier, V.1    Saleur, H.2
  • 10
    • 0039179711 scopus 로고    scopus 로고
    • Groundstate of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter A = 1/2
    • Fridkin V, Stroganov Yu G and Zagier D 2000 Groundstate of the quantum symmetric finite-size XXZ spin chain with anisotropy parameter A = 1/2 J. Phys. A: Math. Gen. 33 L121-5
    • (2000) J. Phys. A: Math. Gen. , vol.33
    • Fridkin, V.1    Stroganov, Yu.G.2    Zagier, D.3
  • 11
    • 0035534208 scopus 로고    scopus 로고
    • Finite-size XXZ spin chain with anisotropy parameter Δ = 1/2
    • Fridkin V, Stroganov Yu G and Zagier D 2001 Finite-size XXZ spin chain with anisotropy parameter Δ = 1/2 J. Stat. Phys. 102 781-94
    • (2001) J. Stat. Phys. , vol.102 , pp. 781-794
    • Fridkin, V.1    Stroganov, Yu.G.2    Zagier, D.3
  • 13
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    • Enumeration of a symmetry class of plane partitions
    • Mills W H, Robbins D P and Rumsey H 1987 Enumeration of a symmetry class of plane partitions Discrete Math. 67 43-55
    • (1987) Discrete Math. , vol.67 , pp. 43-55
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 14
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    • Equivalence of the potts model or whitney polynomial with an ice-type model
    • Baxter R J, Kelland S B and Wu F Y 1976 Equivalence of the Potts model or Whitney polynomial with an ice-type model J. Phys. A: Math. Gen. 9 397-406
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    • Critical behaviour and conformal anomaly of the O(n) model on the square lattice
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    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 1415
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