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Volumn 485, Issue 3, 1997, Pages 613-645

Is the phase transition in the Heisenberg model described by the (2 + ∈) expansion of the non-linear σ-model?

Author keywords

(2 + ) expansion; Heisenberg model; O(N) non linear model; Renormalization group

Indexed keywords


EID: 0031561969     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(96)00617-7     Document Type: Article
Times cited : (21)

References (42)
  • 1
    • 18344372822 scopus 로고
    • [1] F.D.M. Haldane, Phys. Lett. A 93 (1983) 464; S. Chakravarty, B.I. Halperin and D.R. Nelson, Phys. Rev. B 39 (1989) 2344.
    • (1983) Phys. Lett. A , vol.93 , pp. 464
    • Haldane, F.D.M.1
  • 3
    • 0001328019 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1979) Z. Phys. B , vol.35 , pp. 207
    • Wegner, F.1
  • 4
    • 0000175084 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1980) Z. Phys. B , vol.38 , pp. 113
    • Schäfer, L.1    Wegner, F.2
  • 5
    • 0001328019 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1980) Zh. Eksp. Teor. Fiz. , vol.79 , pp. 1120
    • Efetov, K.B.1    Larkin, A.I.2    Khemelnitskii, D.I.3
  • 6
    • 0001328019 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1980) Sov. Phys. JETP , vol.52 , pp. 568
  • 7
    • 0001030416 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1980) Nucl. Phys. B , vol.165 , pp. 528
    • Brézin, E.1    Hikami, S.2    Zinn-Justin, J.3
  • 8
    • 0001328019 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1980) Prog. Theo. Phys. , vol.63 , pp. 707
    • Hikami, S.1    Larkin, A.I.2    Nagaoka, Y.3
  • 9
    • 0002926539 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1981) Ann. Phys. , vol.131 , pp. 36
    • MacKane, A.J.1    Stone, M.2
  • 10
    • 0020498290 scopus 로고
    • [2] F. Wegner, Z. Phys. B 35 (1979) 207; L. Schäfer and F. Wegner, Z. Phys. B 38 (1980) 113; K.B. Efetov, A.I. Larkin and D. I. Khemelnitskii, Zh. Eksp. Teor. Fiz. 79 (1980) 1120 [Sov. Phys. JETP 52 (1980) 568]; E. Brézin, S. Hikami and J. Zinn-Justin, Nucl. Phys. B 165 (1980) 528; S. Hikami, A.I. Larkin and Y. Nagaoka, Prog. Theo. Phys. 63 (1980) 707; A.J. MacKane and M. Stone, Ann. Phys. 131 (1981) 36; K.B. Efetov, Adv. Phys. 32 (1983) 53.
    • (1983) Adv. Phys. , vol.32 , pp. 53
    • Efetov, K.B.1
  • 11
    • 33744612341 scopus 로고
    • [3] A.M. Polyakov, Phys. Lett. B 59 (1975) 79; E. Brézin and J. Zinn-Justin, Phys. Rev. B 14 (1976) 3110; D.R. Nelson and R.A. Pelcovits, Phys. Rev. B 16 (1977) 2191.
    • (1975) Phys. Lett. B , vol.59 , pp. 79
    • Polyakov, A.M.1
  • 12
    • 4244094764 scopus 로고
    • [3] A.M. Polyakov, Phys. Lett. B 59 (1975) 79; E. Brézin and J. Zinn-Justin, Phys. Rev. B 14 (1976) 3110; D.R. Nelson and R.A. Pelcovits, Phys. Rev. B 16 (1977) 2191.
    • (1976) Phys. Rev. B , vol.14 , pp. 3110
    • Brézin, E.1    Zinn-Justin, J.2
  • 13
    • 0000595268 scopus 로고
    • [3] A.M. Polyakov, Phys. Lett. B 59 (1975) 79; E. Brézin and J. Zinn-Justin, Phys. Rev. B 14 (1976) 3110; D.R. Nelson and R.A. Pelcovits, Phys. Rev. B 16 (1977) 2191.
    • (1977) Phys. Rev. B , vol.16 , pp. 2191
    • Nelson, D.R.1    Pelcovits, R.A.2
  • 17
    • 4243420249 scopus 로고
    • [7] G.E. Castilla and S. Chakravarty, Phys. Rev. Lett. 71 (1993) 386; See also, G.E. Castilla, PhD Thesis (University of California, Los Angeles, 1993).
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 386
    • Castilla, G.E.1    Chakravarty, S.2
  • 18
    • 85033090254 scopus 로고
    • PhD Thesis University of California, Los Angeles
    • [7] G.E. Castilla and S. Chakravarty, Phys. Rev. Lett. 71 (1993) 386; See also, G.E. Castilla, PhD Thesis (University of California, Los Angeles, 1993).
    • (1993)
    • Castilla, G.E.1
  • 19
    • 0005574754 scopus 로고
    • [8] S. Weinberg, Phys. Rev. Lett. 17 (1966) 616; C.G. Callan, S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177 (1969) 2247.
    • (1966) Phys. Rev. Lett. , vol.17 , pp. 616
    • Weinberg, S.1
  • 23
    • 0001178494 scopus 로고
    • [11] J. Honerkamp, Nucl. Phys. B 36 (1972) 130; B.S. DeWitt, Phys. Rev. 162 (1967) 1195, 1239.
    • (1972) Nucl. Phys. B , vol.36 , pp. 130
    • Honerkamp, J.1
  • 24
    • 36049056072 scopus 로고
    • [11] J. Honerkamp, Nucl. Phys. B 36 (1972) 130; B.S. DeWitt, Phys. Rev. 162 (1967) 1195, 1239.
    • (1967) Phys. Rev. , vol.162 , pp. 1195
    • DeWitt, B.S.1
  • 25
  • 29
    • 0003787842 scopus 로고
    • Cambridge Univ. Press, Cambridge
    • [15] J.C. Collins, Renormalization (Cambridge Univ. Press, Cambridge, 1984).
    • (1984) Renormalization
    • Collins, J.C.1
  • 30
    • 0000435644 scopus 로고
    • [16] For an example where the magnetization vanishes discontinuously at the transition, but the correlation length diverges, see the example of the inverse square Ising model in one dimension: D.J. Thouless, Phys. Rev. 187 (1969) 732; J. Bhattacharjee et al., Phys. Rev, B 24 (1981) 3862; J.Z. Imbrie and C.M. Newman, Comm. Math. Phys. 118 (1988) 303.
    • (1969) Phys. Rev. , vol.187 , pp. 732
    • Thouless, D.J.1
  • 31
    • 0001443699 scopus 로고
    • [16] For an example where the magnetization vanishes discontinuously at the transition, but the correlation length diverges, see the example of the inverse square Ising model in one dimension: D.J. Thouless, Phys. Rev. 187 (1969) 732; J. Bhattacharjee et al., Phys. Rev, B 24 (1981) 3862; J.Z. Imbrie and C.M. Newman, Comm. Math. Phys. 118 (1988) 303.
    • (1981) Phys. Rev, B , vol.24 , pp. 3862
    • Bhattacharjee, J.1
  • 32
    • 0000224749 scopus 로고
    • [16] For an example where the magnetization vanishes discontinuously at the transition, but the correlation length diverges, see the example of the inverse square Ising model in one dimension: D.J. Thouless, Phys. Rev. 187 (1969) 732; J. Bhattacharjee et al., Phys. Rev, B 24 (1981) 3862; J.Z. Imbrie and C.M. Newman, Comm. Math. Phys. 118 (1988) 303.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 303
    • Imbrie, J.Z.1    Newman, C.M.2
  • 37
    • 85033093571 scopus 로고
    • preprint cond-mat/9512128
    • [21] T. Dupré, preprint (cond-mat/9512128, 1995).
    • (1995)
    • Dupré, T.1
  • 39
    • 0003988726 scopus 로고
    • Les Houches 1980, Session XXXV, ed. R. Balian et al., North-Holland, Amsterdam
    • [23] B.I. Halperin, in Physics of Defects, Les Houches 1980, Session XXXV, ed. R. Balian et al., (North-Holland, Amsterdam, 1981).
    • (1981) Physics of Defects
    • Halperin, B.I.1
  • 41
    • 4243437914 scopus 로고
    • [24] M-H. Lau and C. Dasgupta, J. Phys. A 21 (1988) L51; Phys. Rev. B 39 (1989) 7212.
    • (1989) Phys. Rev. B , vol.39 , pp. 7212


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