메뉴 건너뛰기




Volumn 256, Issue 3, 2005, Pages 681-735

Anomalous universality in the anisotropic Ashkin-Teller model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 18244398189     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-004-1224-2     Document Type: Article
Times cited : (36)

References (41)
  • 1
    • 36149004829 scopus 로고
    • Statistics of two-dimensional lattices with four components
    • [AT]
    • [AT] Ashkin, J., Teller, E.: Statistics of Two-Dimensional Lattices with Four Components. Phys. Rev. 64, 178-184 (1943)
    • (1943) Phys. Rev. , vol.64 , pp. 178-184
    • Ashkin, J.1    Teller, E.2
  • 2
    • 0000632786 scopus 로고
    • Eight-vertex model in lattice statistics
    • [B]
    • [B] Baxter, R.J.: Eight-Vertex Model in Lattice Statistics. Phys. Rev. Lett. 26, 832-833 (1971)
    • (1971) Phys. Rev. Lett. , vol.26 , pp. 832-833
    • Baxter, R.J.1
  • 4
    • 0008020455 scopus 로고
    • Perturbation theory of the fermi surface in quantum liquid. A general quasiparticle formalism and one-dimensional systems
    • [BG1]
    • [BG1] Benfatto, G., Gallavotti, G.: Perturbation Theory of the Fermi Surface in Quantum Liquid. A General Quasiparticle Formalism and One-Dimensional Systems. J. Stat. Phys. 59, 541-664 (1990)
    • (1990) J. Stat. Phys. , vol.59 , pp. 541-664
    • Benfatto, G.1    Gallavotti, G.2
  • 6
    • 21344480783 scopus 로고
    • Beta function and Schwinger functions for a many fermions system in one dimension
    • [BGPS]
    • [BGPS] Benfatto, G., Gallavotti, G., Procacci, A., Scoppola, B.: Beta function and Schwinger functions for a Many Fermions System in One Dimension. Commun. Math. Phys. 160, 93-171 (1994)
    • (1994) Commun. Math. Phys. , vol.160 , pp. 93-171
    • Benfatto, G.1    Gallavotti, G.2    Procacci, A.3    Scoppola, B.4
  • 7
    • 0035646931 scopus 로고    scopus 로고
    • Renormalization group, hidden symmetries and approximate Ward identities in the XYZ model
    • [BM]
    • [BM] Benfatto, G., Mastropietro, V.: Renormalization group, hidden symmetries and approximate Ward identities in the XYZ model. Rev. Math. Phys. 13 no 11, 1323-143 (2001);
    • (2001) Rev. Math. Phys. , vol.13 , Issue.11 , pp. 1323-2143
    • Benfatto, G.1    Mastropietro, V.2
  • 8
    • 1142298070 scopus 로고    scopus 로고
    • Commun. Math. Phys. 231, 97-134 (2002)
    • (2002) Commun. Math. Phys. , vol.231 , pp. 97-134
  • 9
    • 21844511866 scopus 로고
    • Beta function and anomaly of the fermi surface for a d=1 system of interacting fermions in a periodic potential
    • [BM1]
    • [BM1] Bonetto, F., Mastropietro, V.: Beta function and Anomaly of the Fermi Surface for a d=1 System of interacting Fermions in a Periodic Potential. Commun. Math. Phys. 172,5 7-93 (1995)
    • (1995) Commun. Math. Phys. , vol.172 , pp. 57-93
    • Bonetto, F.1    Mastropietro, V.2
  • 10
    • 0034275986 scopus 로고    scopus 로고
    • [Bad]
    • [Bad] Badehdah, M., et al.: Physica B, 291, 394 (2000)
    • (2000) Physica B , vol.291 , pp. 394
    • Badehdah, M.1
  • 11
    • 0035280841 scopus 로고    scopus 로고
    • The anisotropic Ashkin-Teller model: A renormalization Group study
    • [Bez]
    • [Bez] Bezerra, C.G., Mariz, A.M.: The anisotropic Ashkin-Teller model: a renormalization Group study. Physica A 292, 429-436 (2001)
    • (2001) Physica A , vol.292 , pp. 429-436
    • Bezerra, C.G.1    Mariz, A.M.2
  • 13
    • 0033100096 scopus 로고    scopus 로고
    • [Be]
    • [Be] Bekhechi, S., et al.: Physica A 264, 503 (1999)
    • (1999) Physica A , vol.264 , pp. 503
    • Bekhechi, S.1
  • 14
    • 1142285941 scopus 로고    scopus 로고
    • Ward identities and Dyson equations in interacting Fermi systems
    • [BeM1]. To appear
    • [BeM1] Benfatto, G., Mastropietro, V.: Ward identities and Dyson equations in interacting Fermi systems. To appear in J. Stat. Phys.
    • J. Stat. Phys.
    • Benfatto, G.1    Mastropietro, V.2
  • 16
    • 0001346470 scopus 로고    scopus 로고
    • Renormalization group for one-dimensional fermions. A review on mathematical results
    • [GM]
    • [GM] Gentile, G., Mastropietro, V.: Renormalization group for one-dimensional fermions. A review on mathematical results. Phys. Rep. 352(4-6), 273-243 (2001)
    • (2001) Phys. Rep. , vol.352 , Issue.4-6 , pp. 273-1243
    • Gentile, G.1    Mastropietro, V.2
  • 17
    • 34250081694 scopus 로고
    • Renormalization Group and the ultraviolet problem in the Luttinger model
    • [GS]
    • [GS] Gentile, G., Scoppola, B.: Renormalization Group and the ultraviolet problem in the Luttinger model. Commun. Math. Phys. 154, 153-179 (1993)
    • (1993) Commun. Math. Phys. , vol.154 , pp. 153-179
    • Gentile, G.1    Scoppola, B.2
  • 18
    • 0000229907 scopus 로고
    • Connections between the critical behavior of the planar model and that of the eight-vertex model
    • [K]
    • [K] Kadanoff, L.P.: Connections between the Critical Behavior of the Planar Model and That of the Eight-Vertex Model. Phys. Rev. Lett. 39, 903-905 (1977)
    • (1977) Phys. Rev. Lett. , vol.39 , pp. 903-905
    • Kadanoff, L.P.1
  • 20
    • 0001163746 scopus 로고
    • Dimer statistics and phase transitions
    • [Ka]
    • [Ka] Kasteleyn, P.W.: Dimer Statistics and phase transitions. J. Math. Phys. 4, 287 (1963)
    • (1963) J. Math. Phys. , vol.4 , pp. 287
    • Kasteleyn, P.W.1
  • 21
    • 49649141571 scopus 로고
    • On critical properties of the Ashkin-Teller model
    • [F]
    • [F] Fan, C.: On critical properties of the Ashkin-Teller model. Phys. Lett. 39A, 136-138 (1972)
    • (1972) Phys. Lett. , vol.39 A , pp. 136-138
    • Fan, C.1
  • 22
    • 0043171821 scopus 로고
    • New approach to the ising problem
    • [H]
    • [H] Hurst, C.: New approach to the Ising problem. J.Math. Phys. 7(2), 305-310 (1966)
    • (1966) J.Math. Phys. , vol.7 , Issue.2 , pp. 305-310
    • Hurst, C.1
  • 24
    • 0000561409 scopus 로고
    • Effective action for the Yukawa 2 quantum field theory
    • [Le]
    • [Le] Lesniewski, A.: Effective action for the Yukawa 2 quantum field Theory. Commun. Math. Phys. 108, 437-467 (1987)
    • (1987) Commun. Math. Phys. , vol.108 , pp. 437-467
    • Lesniewski, A.1
  • 25
    • 24544478297 scopus 로고
    • Exact solution of the problem of entropy of two-dimensional ice
    • [Li]
    • [Li] Lieb, H.: Exact solution of the problem of entropy of two-dimensional ice. Phys. Rev. Lett. 18, 692-694 (1967)
    • (1967) Phys. Rev. Lett. , vol.18 , pp. 692-694
    • Lieb, H.1
  • 26
    • 6244287238 scopus 로고
    • Calculations of critical exponents in two dimension from quantum field theory in one dimension
    • [LP]
    • [LP] Luther, A., Peschel, I.: Calculations of critical exponents in two dimension from quantum field theory in one dimension. Phys. Rev. B 12, 3908-3917 (1975)
    • (1975) Phys. Rev. B , vol.12 , pp. 3908-3917
    • Luther, A.1    Peschel, I.2
  • 27
    • 1142288592 scopus 로고    scopus 로고
    • Ising models with four spin interaction at criticality
    • [M1]
    • [M1] Mastropietro, V.: Ising models with four spin interaction at criticality. Commun. Math. Phys 244, 595-642 (2004)
    • (2004) Commun. Math. Phys , vol.244 , pp. 595-642
    • Mastropietro, V.1
  • 28
    • 0642364803 scopus 로고
    • Exact solution of a many fermion system and its associated boson field
    • [ML]
    • [ML] Mattis, D., Lieb, E.: Exact solution of a many fermion system and its associated boson field. J. Math. Phys. 6, 304-312 (1965)
    • (1965) J. Math. Phys. , vol.6 , pp. 304-312
    • Mattis, D.1    Lieb, E.2
  • 30
    • 33751437048 scopus 로고
    • Correlation and spontaneous magnetization of the two dimensional Ising model
    • [MPW]
    • [MPW] Montroll, E., Potts, R., Ward, J.: Correlation and spontaneous magnetization of the two dimensional Ising model. J. Math. Phys. 4, 308 (1963)
    • (1963) J. Math. Phys. , vol.4 , pp. 308
    • Montroll, E.1    Potts, R.2    Ward, J.3
  • 31
    • 0001761431 scopus 로고
    • Derivation of extended scaling relations between critical exponents in two dimensional models from the one dimensional Luttinger model
    • [N]
    • [N] den Nijs, M.P.M.: Derivation of extended scaling relations between critical exponents in two dimensional models from the one dimensional Luttinger model. Phys. Rev. B 23(11), 6111-6125 (1981)
    • (1981) Phys. Rev. B , vol.23 , Issue.11 , pp. 6111-6125
    • Den Nijs, M.P.M.1
  • 32
    • 36149012281 scopus 로고
    • Critical statistics. A two dimensional model with an order-disorder transition
    • [O]
    • [O] Onsager, L.: Critical statistics. A two dimensional model with an order-disorder transition. Phys. Rev. 56, 117-149 (1944)
    • (1944) Phys. Rev. , vol.56 , pp. 117-149
    • Onsager, L.1
  • 33
    • 0345973272 scopus 로고
    • Universality for the critical lines of the eight vertex, Ashkin-Teller and Gaussian models
    • [PB]
    • [PB] Pruisken, A.M.M., Brown, A.C.: Universality for the critical lines of the eight vertex, Ashkin-Teller and Gaussian models. Phys. Rev. B, 23(3), 1459-1468 (1981)
    • (1981) Phys. Rev. B , vol.23 , Issue.3 , pp. 1459-1468
    • Pruisken, A.M.M.1    Brown, A.C.2
  • 34
    • 0141842199 scopus 로고    scopus 로고
    • Universality in 2D critical Ising model
    • [PS]. To appear
    • [PS] Pinson, H., Spencer, T.: Universality in 2D critical Ising model. To appear in Commun. Math. Phys.
    • Commun. Math. Phys.
    • Pinson, H.1    Spencer, T.2
  • 35
    • 36749117241 scopus 로고
    • The use of anticommuting variable integrals in statistical mechanics
    • [S]
    • [S] Samuel, S.: The use of anticommuting variable integrals in statistical mechanics. J. Math. Phys. 21 2806 (1980)
    • (1980) J. Math. Phys. , vol.21 , pp. 2806
    • Samuel, S.1
  • 36
    • 0000740732 scopus 로고
    • Two-dimensional hydrogen bonded crystals
    • [Su]
    • [Su] Sutherland, S.B.: Two-Dimensional Hydrogen Bonded Crystals. J. Math. Phys. 11, 3183-3186 (1970)
    • (1970) J. Math. Phys. , vol.11 , pp. 3183-3186
    • Sutherland, S.B.1
  • 37
    • 0033737324 scopus 로고    scopus 로고
    • A mathematical approach to universality in two dimensions
    • [Spe]
    • [Spe] Spencer, T.: A mathematical approach to universality in two dimensions. Physica A 279, 250-259 (2000)
    • (2000) Physica A , vol.279 , pp. 250-259
    • Spencer, T.1
  • 38
    • 36149021418 scopus 로고
    • Two-dimensional Ising model as a soluble problem of many Fermions
    • [SML]
    • [SML] Schultz, T., Mattis, D., Lieb, E.: Two-dimensional Ising model as a soluble problem of many Fermions. Rev. Mod. Phys. 36, 856 (1964)
    • (1964) Rev. Mod. Phys. , vol.36 , pp. 856
    • Schultz, T.1    Mattis, D.2    Lieb, E.3
  • 39
    • 0039123357 scopus 로고
    • Duality relation between the Ashkin-Teller and the eight-vertex model
    • [W]
    • [W] Wegner, F.J.: Duality relation between the Ashkin-Teller and the eight-vertex model. J. Phys. C 5, L131-L132 (1972)
    • (1972) J. Phys. C , vol.5
    • Wegner, F.J.1
  • 40
    • 36149052317 scopus 로고
    • Two phase transitions in the Ashkin-Teller model
    • [WL]
    • [WL] Wu, F.Y., Lin, K.Y.: Two phase transitions in the Ashkin-Teller model. J. Phys. C 5, L181-L184 (1974)
    • (1974) J. Phys. C , vol.5
    • Wu, F.Y.1    Lin, K.Y.2
  • 41
    • 0000225333 scopus 로고
    • The Ising model with four spin interaction
    • [Wu]
    • [Wu] Wu, F.W.: The Ising model with four spin interaction. Phys. Rev. B 4, 2312-2314 (1971)
    • (1971) Phys. Rev. B , vol.4 , pp. 2312-2314
    • Wu, F.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.