메뉴 건너뛰기




Volumn 32, Issue 13, 1999, Pages

On the phase diagram of the discrete ℤ6 spin models

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033515263     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/13/002     Document Type: Article
Times cited : (7)

References (40)
  • 1
    • 36749105551 scopus 로고
    • Duality transformations in a many-component spin model
    • Wu F Y and Wang Y K 1976 Duality transformations in a many-component spin model J. Math. Phys. 17 439
    • (1976) J. Math. Phys. , vol.17 , pp. 439
    • Wu, F.Y.1    Wang, Y.K.2
  • 2
    • 33646600079 scopus 로고
    • Two-dimensional anisotropic N-vector models
    • Domany E and Riedel E K 1979 Two-dimensional anisotropic N-vector models Phys. Rev. B 19 5817
    • (1979) Phys. Rev. B , vol.19 , pp. 5817
    • Domany, E.1    Riedel, E.K.2
  • 3
    • 0000414039 scopus 로고
    • General discrete planar models in two dimensions
    • Cardy J L 1980 General discrete planar models in two dimensions J. Phys. A: Math. Gen. 13 1507
    • (1980) J. Phys. A: Math. Gen. , vol.13 , pp. 1507
    • Cardy, J.L.1
  • 6
    • 0011540978 scopus 로고
    • Hunting for the central charge of the Virasoro algebra: Six- and eight-state spin models
    • von Gehlen G and Rittenberg V 1986 Hunting for the central charge of the Virasoro algebra: six- and eight-state spin models J. Phys. A: Math. Gen. 19 2439 Badke R 1987 A Monte Carlo renormalization group study of the two-dimensional discrete cubic model: a hint for superconformal invariance J. Phys. A: Math. Gen. 20 3425 Schütz G 1989 Finite-size scaling spectra in the six-states quantum chains J. Phys. A: Math. Gen. 22 731
    • (1986) J. Phys. A: Math. Gen. , vol.19 , pp. 2439
    • Von Gehlen, G.A.1    Rittenberg, V.2
  • 7
    • 0011668808 scopus 로고
    • A Monte Carlo renormalization group study of the two-dimensional discrete cubic model: A hint for superconformal invariance
    • von Gehlen G and Rittenberg V 1986 Hunting for the central charge of the Virasoro algebra: six- and eight-state spin models J. Phys. A: Math. Gen. 19 2439 Badke R 1987 A Monte Carlo renormalization group study of the two-dimensional discrete cubic model: a hint for superconformal invariance J. Phys. A: Math. Gen. 20 3425 Schütz G 1989 Finite-size scaling spectra in the six-states quantum chains J. Phys. A: Math. Gen. 22 731
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 3425
    • Badke, R.1
  • 8
    • 0011661196 scopus 로고
    • Finite-size scaling spectra in the six-states quantum chains
    • von Gehlen G and Rittenberg V 1986 Hunting for the central charge of the Virasoro algebra: six- and eight-state spin models J. Phys. A: Math. Gen. 19 2439 Badke R 1987 A Monte Carlo renormalization group study of the two-dimensional discrete cubic model: a hint for superconformal invariance J. Phys. A: Math. Gen. 20 3425 Schütz G 1989 Finite-size scaling spectra in the six-states quantum chains J. Phys. A: Math. Gen. 22 731
    • (1989) J. Phys. A: Math. Gen. , vol.22 , pp. 731
    • Schütz, G.1
  • 9
    • 13044268246 scopus 로고
    • Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model
    • José J V, Kadanoff L P, Kirkpatrick S and Nelson D R 1977 Renormalization, vortices, and symmetry-breaking perturbations in the two-dimensional planar model Phys. Rev. B 16 1217
    • (1977) Phys. Rev. B , vol.16 , pp. 1217
    • José, J.V.1    Kadanoff, L.P.2    Kirkpatrick, S.3    Nelson, D.R.4
  • 10
    • 0000757334 scopus 로고
    • Cubic rare-earth compounds: Variants of the three-state Potts model
    • Kim D, Levy P M and Uffer L F 1975 Cubic rare-earth compounds: variants of the three-state Potts model Phys. Rev. B 12 989 Aharony A 1977 Critical behaviour of the discrete spin cubic model J. Phys. A: Math. Gen. 10 389
    • (1975) Phys. Rev. B , vol.12 , pp. 989
    • Kim, D.1    Levy, P.M.2    Uffer, L.F.3
  • 11
    • 0001005973 scopus 로고
    • Critical behaviour of the discrete spin cubic model
    • Kim D, Levy P M and Uffer L F 1975 Cubic rare-earth compounds: variants of the three-state Potts model Phys. Rev. B 12 989 Aharony A 1977 Critical behaviour of the discrete spin cubic model J. Phys. A: Math. Gen. 10 389
    • (1977) J. Phys. A: Math. Gen. , vol.10 , pp. 389
    • Aharony, A.1
  • 12
    • 0002668416 scopus 로고    scopus 로고
    • Non-Abelian bosonization and Haldane's conjecture
    • Cabra D C, Pujol P and von Reichenbach C 1998 Non-Abelian bosonization and Haldane's conjecture Phys. Rev. B 58 65 (Cabra D C, Pujol P and von Reichenbach C 1998 Preprint hep-th/9802014)
    • (1998) Phys. Rev. B , vol.58 , pp. 65
    • Cabra, D.C.1    Pujol, P.2    Von Reichenbach, C.3
  • 13
    • 0002668416 scopus 로고    scopus 로고
    • Preprint hep-th/9802014
    • Cabra D C, Pujol P and von Reichenbach C 1998 Non-Abelian bosonization and Haldane's conjecture Phys. Rev. B 58 65 (Cabra D C, Pujol P and von Reichenbach C 1998 Preprint hep-th/9802014)
    • (1998)
    • Cabra, D.C.1    Pujol, P.2    Von Reichenbach, C.3
  • 14
    • 0000608799 scopus 로고
    • Phase structure of discrete Abelian spin and gauge systems
    • Elitzur S, Pearson R B and Shigemitsu J 1979 Phase structure of discrete Abelian spin and gauge systems Phys. Rev. D 19 3698
    • (1979) Phys. Rev. D , vol.19 , pp. 3698
    • Elitzur, S.1    Pearson, R.B.2    Shigemitsu, J.3
  • 15
    • 0001239990 scopus 로고
    • Theory of one- and two- dimensional magnets with an easy magnetisation plane. II. The planar, classical, two-dimensional magnet
    • Villain J 1975 Theory of one- and two-dimensional magnets with an easy magnetisation plane. II. The planar, classical, two-dimensional magnet J. Physique 36 581
    • (1975) J. Physique , vol.36 , pp. 581
    • Villain, J.1
  • 19
    • 36149033723 scopus 로고
    • N spin systems: Finite-size scaling and conformal invariance
    • N spin systems: finite-size scaling and conformal invariance J. Phys. A: Math. Gen. 20 2511
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 2511
    • Alcaraz, F.C.1
  • 20
    • 0030191292 scopus 로고    scopus 로고
    • N spin models: Some exact results from the thermodynamic Bethe ansatz
    • N spin models: some exact results from the thermodynamic Bethe ansatz Nucl. Phys. B 470 317 (Dorey P, Tateo R and Thompson K E 1996 Preprint hep-th/9601123)
    • (1996) Nucl. Phys. B , vol.470 , pp. 317
    • Dorey, P.1    Tateo, R.2    Thompson, K.E.3
  • 21
    • 85136590099 scopus 로고    scopus 로고
    • Preprint hep-th/9601123
    • N spin models: some exact results from the thermodynamic Bethe ansatz Nucl. Phys. B 470 317 (Dorey P, Tateo R and Thompson K E 1996 Preprint hep-th/9601123)
    • (1996)
    • Dorey, P.1    Tateo, R.2    Thompson, K.E.3
  • 23
    • 36149030594 scopus 로고
    • The correlation length of the Potts model at the first-order transition point
    • Buffenoir E and Wallon S 1993 The correlation length of the Potts model at the first-order transition point J. Phys. A: Math. Gen. 26 3045
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 3045
    • Buffenoir, E.1    Wallon, S.2
  • 24
    • 0041138845 scopus 로고    scopus 로고
    • Effect of random impurities on fluctuation-driven first-order transitions
    • Cardy J 1996 Effect of random impurities on fluctuation-driven first-order transitions J. Phys. A: Math. Gen. 29 1897 (Cardy J 1995 Preprint cond-mat/9511112) LeClair A, Ludwig A W W and Mussardo G 1998 Integrability of coupled conformal field theories Nucl. Phys. B 512 523 (LeClair A, Ludwig A W W and Mussardo G 1997 Preprint hep-th/9707159)
    • (1996) J. Phys. A: Math. Gen. , vol.29 , pp. 1897
    • Cardy, J.1
  • 25
    • 0041138845 scopus 로고    scopus 로고
    • Preprint cond-mat/9511112
    • Cardy J 1996 Effect of random impurities on fluctuation-driven first-order transitions J. Phys. A: Math. Gen. 29 1897 (Cardy J 1995 Preprint cond-mat/9511112) LeClair A, Ludwig A W W and Mussardo G 1998 Integrability of coupled conformal field theories Nucl. Phys. B 512 523 (LeClair A, Ludwig A W W and Mussardo G 1997 Preprint hep-th/9707159)
    • (1995)
    • Cardy, J.1
  • 26
    • 0032559523 scopus 로고    scopus 로고
    • Integrability of coupled conformal field theories
    • Cardy J 1996 Effect of random impurities on fluctuation-driven first-order transitions J. Phys. A: Math. Gen. 29 1897 (Cardy J 1995 Preprint cond-mat/9511112) LeClair A, Ludwig A W W and Mussardo G 1998 Integrability of coupled conformal field theories Nucl. Phys. B 512 523 (LeClair A, Ludwig A W W and Mussardo G 1997 Preprint hep-th/9707159)
    • (1998) Nucl. Phys. B , vol.512 , pp. 523
    • LeClair, A.1    Ludwig, A.W.W.2    Mussardo, G.3
  • 27
    • 0041138845 scopus 로고    scopus 로고
    • Preprint hep-th/9707159
    • Cardy J 1996 Effect of random impurities on fluctuation-driven first-order transitions J. Phys. A: Math. Gen. 29 1897 (Cardy J 1995 Preprint cond-mat/9511112) LeClair A, Ludwig A W W and Mussardo G 1998 Integrability of coupled conformal field theories Nucl. Phys. B 512 523 (LeClair A, Ludwig A W W and Mussardo G 1997 Preprint hep-th/9707159)
    • (1997)
    • LeClair, A.1    Ludwig, A.W.W.2    Mussardo, G.3
  • 28
    • 0000333179 scopus 로고
    • Integrable field theory from conformal field theory
    • Zamolodchikov A B 1989 Integrable field theory from conformal field theory Adv. Stud. Pure Math. 19 641
    • (1989) Adv. Stud. Pure Math. , vol.19 , pp. 641
    • Zamolodchikov, A.B.1
  • 29
    • 84984713255 scopus 로고
    • Absence of particle production and factorization of the S matrix in (1 + 1)-dimensional models
    • Parke S 1980 Absence of particle production and factorization of the S matrix in (1 + 1)-dimensional models Nucl. Phys. B 174 166
    • (1980) Nucl. Phys. B , vol.174 , pp. 166
    • Parke, S.1
  • 30
    • 0001017120 scopus 로고
    • Thermodynamics of one-dimensional system of bosons with repulsive delta function interaction
    • Yang C N and Yang C P 1969 Thermodynamics of one-dimensional system of bosons with repulsive delta function interaction J. Math. Phys. 10 1115 Zamolodchikov Al B 1990 Thermodynamic Bethe ansatz in relativistic models. Scaling 3-state Potts and Lee-Yang models Nucl. Phys. B 342 695
    • (1969) J. Math. Phys. , vol.10 , pp. 1115
    • Yang, C.N.1    Yang, C.P.2
  • 31
    • 0000363878 scopus 로고
    • Thermodynamic Bethe ansatz in relativistic models. Scaling 3-state Potts and Lee-Yang models
    • Yang C N and Yang C P 1969 Thermodynamics of one-dimensional system of bosons with repulsive delta function interaction J. Math. Phys. 10 1115 Zamolodchikov Al B 1990 Thermodynamic Bethe ansatz in relativistic models. Scaling 3-state Potts and Lee-Yang models Nucl. Phys. B 342 695
    • (1990) Nucl. Phys. B , vol.342 , pp. 695
    • Zamolodchikov, Al.B.1
  • 33
    • 0041101045 scopus 로고
    • Preprint hep-th/9207040
    • Ravanini F, Tateo R and Valleriani A 1993 Dynkin TBAs Int. J. Mod. Phys. A 8 1707 (Ravanini F, Tateo R and Valleriani A 1992 Preprint hep-th/9207040)
    • (1992)
    • Ravanini, F.1    Tateo, R.2    Valleriani, A.3
  • 34
    • 0001239764 scopus 로고
    • A cluster method for the Ashkin-Teller model
    • Wiseman S and Domany E 1993 A cluster method for the Ashkin-Teller model Phys. Rev. E 48 4080 (Wiseman S and Domany E 1993 Preprint hep-lat/9310015) Salas J and Sokal A D 1996 Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model J. Stat. Phys. 85 297 (Salas J and Sokal A D 1995 Preprint hep-lat/9511022)
    • (1993) Phys. Rev. E , vol.48 , pp. 4080
    • Wiseman, S.1    Domany, E.2
  • 35
    • 0001239764 scopus 로고
    • Preprint hep-lat/9310015
    • Wiseman S and Domany E 1993 A cluster method for the Ashkin-Teller model Phys. Rev. E 48 4080 (Wiseman S and Domany E 1993 Preprint hep-lat/9310015) Salas J and Sokal A D 1996 Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model J. Stat. Phys. 85 297 (Salas J and Sokal A D 1995 Preprint hep-lat/9511022)
    • (1993)
    • Wiseman, S.1    Domany, E.2
  • 36
    • 0030524683 scopus 로고    scopus 로고
    • Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model
    • Wiseman S and Domany E 1993 A cluster method for the Ashkin-Teller model Phys. Rev. E 48 4080 (Wiseman S and Domany E 1993 Preprint hep-lat/9310015) Salas J and Sokal A D 1996 Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model J. Stat. Phys. 85 297 (Salas J and Sokal A D 1995 Preprint hep-lat/9511022)
    • (1996) J. Stat. Phys. , vol.85 , pp. 297
    • Salas, J.1    Sokal, A.D.2
  • 37
    • 0001239764 scopus 로고
    • Preprint hep-lat/9511022
    • Wiseman S and Domany E 1993 A cluster method for the Ashkin-Teller model Phys. Rev. E 48 4080 (Wiseman S and Domany E 1993 Preprint hep-lat/9310015) Salas J and Sokal A D 1996 Dynamic critical behavior of a Swendsen-Wang-type algorithm for the Ashkin-Teller model J. Stat. Phys. 85 297 (Salas J and Sokal A D 1995 Preprint hep-lat/9511022)
    • (1995)
    • Salas, J.1    Sokal, A.D.2
  • 38
    • 4243777415 scopus 로고
    • Finite size scaling analysis of Ising model block distribution function
    • Binder K 1981 Finite size scaling analysis of Ising model block distribution function Z. Phys. B 43 119 Binder K, Vollmayr K, Deutsch H-P, Reger J D, Scheucher M and Landau D P 1992 Monte Carlo methods for first order phase transitions: some recent progress Int. J. Mod. Phys. C 3 1025 Vollmayr K, Reger J D, Scheucher M and Binder K 1993 Finite size effects at thermally-driven first order phase transitions: a phenomenological theory of the order parameter distribution Z. Phys. B 91 113
    • (1981) Z. Phys. B , vol.43 , pp. 119
    • Binder, K.1
  • 39
    • 0006969456 scopus 로고
    • Monte Carlo methods for first order phase transitions: Some recent progress
    • Binder K 1981 Finite size scaling analysis of Ising model block distribution function Z. Phys. B 43 119 Binder K, Vollmayr K, Deutsch H-P, Reger J D, Scheucher M and Landau D P 1992 Monte Carlo methods for first order phase transitions: some recent progress Int. J. Mod. Phys. C 3 1025 Vollmayr K, Reger J D, Scheucher M and Binder K 1993 Finite size effects at thermally-driven first order phase transitions: a phenomenological theory of the order parameter distribution Z. Phys. B 91 113
    • (1992) Int. J. Mod. Phys. C , vol.3 , pp. 1025
    • Binder, K.1    Vollmayr, K.2    Deutsch, H.-P.3    Reger, J.D.4    Scheucher, M.5    Landau, D.P.6
  • 40
    • 0013249216 scopus 로고
    • Finite size effects at thermally-driven first order phase transitions: A phenomenological theory of the order parameter distribution
    • Binder K 1981 Finite size scaling analysis of Ising model block distribution function Z. Phys. B 43 119 Binder K, Vollmayr K, Deutsch H-P, Reger J D, Scheucher M and Landau D P 1992 Monte Carlo methods for first order phase transitions: some recent progress Int. J. Mod. Phys. C 3 1025 Vollmayr K, Reger J D, Scheucher M and Binder K 1993 Finite size effects at thermally-driven first order phase transitions: a phenomenological theory of the order parameter distribution Z. Phys. B 91 113
    • (1993) Z. Phys. B , vol.91 , pp. 113
    • Vollmayr, K.1    Reger, J.D.2    Scheucher, M.3    Binder, K.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.