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Volumn 6, Issue 3, 1997, Pages 187-214

A unified treatment of Ising model magnetizations

Author keywords

Corners; Functional equations; Ising model; Magnetization; Surfaces

Indexed keywords

CORNER TRANSFER MATRICES; FUNCTIONAL EQUATIONS; ISING MODEL;

EID: 0030645228     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/andp.19975090304     Document Type: Article
Times cited : (11)

References (34)
  • 1
    • 51249193523 scopus 로고
    • On the theory of regular solutions
    • see discussion p. 261
    • G.S. Rushbrooke, On the theory of regular solutions, Nuovo Cim. Supplement 6 (1949) 251-263 - see discussion p. 261
    • (1949) Nuovo Cim. Supplement , vol.6 , pp. 251-263
    • Rushbrooke, G.S.1
  • 2
    • 36149022411 scopus 로고
    • The spontaneous magnetization of a two-dimensional Ising model
    • C.N. Yang, The spontaneous magnetization of a two-dimensional Ising model, Phys Rev. 85 (1952) 808-816
    • (1952) Phys Rev. , vol.85 , pp. 808-816
    • Yang, C.N.1
  • 3
    • 0000118423 scopus 로고
    • Theory of Toeplitz determinants and the spin correlations of the two-dimensional Ising model: IV
    • B.M. McCoy, T.T. Wu, Theory of Toeplitz determinants and the spin correlations of the two-dimensional Ising model: IV, Phys. Rev. 162 (1967) 436-475
    • (1967) Phys. Rev. , vol.162 , pp. 436-475
    • McCoy, B.M.1    Wu, T.T.2
  • 5
    • 0000372526 scopus 로고
    • Critical behaviour at an edge
    • J.L. Cardy, Critical behaviour at an edge, J. Phys. A: Math. Gen. 16 (1983) 3617-3628
    • (1983) J. Phys. A: Math. Gen. , vol.16 , pp. 3617-3628
    • Cardy, J.L.1
  • 6
    • 0000016116 scopus 로고
    • Magnetization at corners in two-dimensional Ising models
    • M.N. Barber, I. Peschel, P.A. Pearce, Magnetization at corners in two-dimensional Ising models. J. Stat. Phys. 37 (1984) 497-527
    • (1984) J. Stat. Phys. , vol.37 , pp. 497-527
    • Barber, M.N.1    Peschel, I.2    Pearce, P.A.3
  • 7
    • 0027689752 scopus 로고
    • Inhomogeneous systems with unusual critical behaviour
    • F. Iglói, I. Peschel, L. Turban, Inhomogeneous systems with unusual critical behaviour, Adv. Phys. 42 (1993) 683-740
    • (1993) Adv. Phys. , vol.42 , pp. 683-740
    • Iglói, F.1    Peschel, I.2    Turban, L.3
  • 8
    • 0011498933 scopus 로고
    • Corner spontaneous magnetization
    • D. B. Abraham, F. Latrémolière, Corner spontaneous magnetization, Phys. Rev. E50 (1994) R 9-R 11; Corner spontaneous magnetization, J. Stat. Phys. 81 (1995) 539-559
    • (1994) Phys. Rev. , vol.E50
    • Abraham, D.B.1    Latrémolière, F.2
  • 9
    • 21844501871 scopus 로고
    • Corner spontaneous magnetization
    • D. B. Abraham, F. Latrémolière, Corner spontaneous magnetization, Phys. Rev. E50 (1994) R 9-R 11; Corner spontaneous magnetization, J. Stat. Phys. 81 (1995) 539-559
    • (1995) J. Stat. Phys. , vol.81 , pp. 539-559
  • 10
    • 0015037292 scopus 로고
    • On the transfer matrix for the two-dimensional Ising model
    • D.B. Abraham, On the transfer matrix for the two-dimensional Ising model, Studies in Applied Mathematics 50 (1971) 71-88
    • (1971) Studies in Applied Mathematics , vol.50 , pp. 71-88
    • Abraham, D.B.1
  • 11
    • 0000685571 scopus 로고
    • Surface and corner magnetizations in the two-dimensional Ising model
    • C. Kaiser, I. Peschel, Surface and corner magnetizations in the two-dimensional Ising model, J. Stat. Phys. 54 (1989) 567-579
    • (1989) J. Stat. Phys. , vol.54 , pp. 567-579
    • Kaiser, C.1    Peschel, I.2
  • 12
    • 0008118539 scopus 로고
    • Surface magnetization in inhomogeneous two-dimensional Ising lattices
    • I. Peschel, Surface magnetization in inhomogeneous two-dimensional Ising lattices, Phys. Rev. B 30 (1984) 6783-6784
    • (1984) Phys. Rev. B , vol.30 , pp. 6783-6784
    • Peschel, I.1
  • 14
    • 78649381312 scopus 로고
    • Exactly Solved Models in Statistical Mechanics
    • G.M. d'Ariano, A. Monterosi, M.G. Rasetti (Eds.), World Scientific, Singapore
    • R.J. Baxter, Exactly Solved Models in Statistical Mechanics, Integrable systems in Statistical Mechanics VII (G.M. d'Ariano, A. Monterosi, M.G. Rasetti (Eds.), World Scientific, Singapore 1985, 5-63
    • (1985) Integrable Systems in Statistical Mechanics , vol.7 , pp. 5-63
    • Baxter, R.J.1
  • 16
    • 21344473386 scopus 로고
    • Difference equations for the correlation functions of the eight-vertex model
    • M. Jimbo, T. Miwa, A. Nakayashiki, Difference equations for the correlation functions of the eight-vertex model. J. Phys. A: Math Gen. 26 (1993) 2199-2209
    • (1993) J. Phys. A: Math Gen. , vol.26 , pp. 2199-2209
    • Jimbo, M.1    Miwa, T.2    Nakayashiki, A.3
  • 17
    • 0039846120 scopus 로고
    • Infinite Dimensional Symmetry of corner transfer matrices
    • (A.L. Carey et al., Eds.), World Scientific, Singapore
    • B. Davies, Infinite Dimensional Symmetry of corner transfer matrices, Confronting the Infinite (A.L. Carey et al., Eds.), World Scientific, Singapore 1995, 175-192
    • (1995) Confronting the Infinite , pp. 175-192
    • Davies, B.1
  • 18
    • 0001398970 scopus 로고
    • Solvable eight-vertex model in an arbitrary planar lattice
    • R. J. Baxter, Solvable eight-vertex model in an arbitrary planar lattice, Phil. Trans. Roy. Soc. Lond. 289 (1978) 315-346
    • (1978) Phil. Trans. Roy. Soc. Lond. , vol.289 , pp. 315-346
    • Baxter, R.J.1
  • 19
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan type identities
    • G.E. Andrews, R.J. Baxter, P.J. Forrester, Eight-vertex SOS model and generalized Rogers-Ramanujan type identities, J. Stat. Phys. 35 (1984) 193-266
    • (1984) J. Stat. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 20
    • 0000291003 scopus 로고
    • Exactly solvable SOS models: Local height probabilities and theta function identities
    • E. Date, M. Jimbo, A Kuniba, T. Miwa, M. Okado, Exactly solvable SOS models: Local height probabilities and theta function identities, Nucl. Phys. B 290 (1987) 231-273
    • (1987) Nucl. Phys. B , vol.290 , pp. 231-273
    • Date, E.1    Jimbo, M.2    Kuniba, A.3    Miwa, T.4    Okado, M.5
  • 21
    • 0346411612 scopus 로고
    • Difference equations in spin chains with a boundary
    • M. Jimbo, R. Kedem, H. Konno, T. Miwa, R. Weston, Difference equations in spin chains with a boundary, Nucl. Phys. B 448 (1995) 429-456
    • (1995) Nucl. Phys. B , vol.448 , pp. 429-456
    • Jimbo, M.1    Kedem, R.2    Konno, H.3    Miwa, T.4    Weston, R.5
  • 22
    • 0039187266 scopus 로고
    • Corner transfer matrices for the Ising model
    • B. Davies, Corner transfer matrices for the Ising model, Physica A 154 (1989) 1-20
    • (1989) Physica A , vol.154 , pp. 1-20
    • Davies, B.1
  • 23
    • 0039779684 scopus 로고
    • Diagonalisation of finite-size corner transfer matrices and related spin chains
    • T.T. Truong. I. Peschel, Diagonalisation of finite-size corner transfer matrices and related spin chains, Z. Phys. B 75 (1989) 119-125
    • (1989) Z. Phys. B , vol.75 , pp. 119-125
    • Truong, T.T.1    Peschel, I.2
  • 24
    • 0001355489 scopus 로고
    • Boost operator and its application to quantum Gelfand-Levitan equation for Heisenberg-Ising chain with spin one-half
    • K. Sogo, M. Wadati, Boost operator and its application to quantum Gelfand-Levitan equation for Heisenberg-Ising chain with spin one-half, Prog. Theor. Phys. 69 (1983) 431-450
    • (1983) Prog. Theor. Phys. , vol.69 , pp. 431-450
    • Sogo, K.1    Wadati, M.2
  • 25
    • 0001761237 scopus 로고
    • Corner transfer matrices and Lorentz invariance on a lattice
    • H.B. Thacker, Corner transfer matrices and Lorentz invariance on a lattice, Physica D 18 (1986) 348-359
    • (1986) Physica D , vol.18 , pp. 348-359
    • Thacker, H.B.1
  • 27
    • 0001516681 scopus 로고
    • Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
    • C.M. Yung, M.T. Batchelor, Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices, Nucl. Phys. B 435 (1995) 430-462
    • (1995) Nucl. Phys. B , vol.435 , pp. 430-462
    • Yung, C.M.1    Batchelor, M.T.2
  • 29
    • 0011458515 scopus 로고
    • Some more results for the Ising square lattice with a corner
    • I. Peschel, Some more results for the Ising square lattice with a corner, Phys. Lett. A 110 (1985) 313-315
    • (1985) Phys. Lett. A , vol.110 , pp. 313-315
    • Peschel, I.1
  • 30
    • 2542532691 scopus 로고    scopus 로고
    • Exact boundary magnetization of the layered Ising model on triangular and honeycomb lattices
    • A. Pelizzola, Exact boundary magnetization of the layered Ising model on triangular and honeycomb lattices, Modern Physics Letters B 10 (1996) 145-151
    • (1996) Modern Physics Letters B , vol.10 , pp. 145-151
    • Pelizzola, A.1
  • 31
    • 0242354950 scopus 로고
    • Corner transfer matrices and corner magnetization for the Ising model
    • B. Davies, I. Peschel, Corner transfer matrices and corner magnetization for the Ising model, J. Phys. A: Math. Gen. 24 (1991) 1293-1306
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 1293-1306
    • Davies, B.1    Peschel, I.2
  • 32
    • 5844252202 scopus 로고
    • Thermodynamics of an anisotropic boundary of a two dimensional Ising model
    • H. Au-Yang, Thermodynamics of an anisotropic boundary of a two dimensional Ising model, J. Math. Phys. 14 (1973) 937-946
    • (1973) J. Math. Phys. , vol.14 , pp. 937-946
    • Au-Yang, H.1
  • 33
    • 0010064532 scopus 로고    scopus 로고
    • Equations for correlation functions of eight-vertex model: Ferromagnetic and disordered phases
    • M.Yu. Lashkevich, Equations for correlation functions of eight-vertex model: Ferromagnetic and disordered phases. Modern Physics Letters B 10 (1996) 101-116
    • (1996) Modern Physics Letters B , vol.10 , pp. 101-116
    • Lashkevich, M.Yu.1
  • 34
    • 0000874552 scopus 로고
    • p(sl(n)) symmetry
    • p(sl(n)) symmetry, Comm. Math. Phys. 164 (1994) 277-291
    • (1994) Comm. Math. Phys. , vol.164 , pp. 277-291
    • Koyama, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.