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Prog. Theor. Phys. Vol. 57 No. 4 (1977) pp. 1197-1208

[ Full Text PDF : FREE ACCESS (604K) ]

Equation of State in 1/n Expansion

n-Vector Model in the Presence of Magnetic Field —

Ryuzo Abe and Shinobu Hikami*

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153
*Research Institute for Fundamental Physics, Kyoto University, Kyoto 606

(Received October 4, 1976)

Abstract:

The classical n-vector model in the presence of magnetic field is studied by 1/n expansion. A detailed discussion is given of the equation of state up to order 1/n. As an application, the critical temperature and a universal amplitude ratio are investigated.


URL : http://ptp.ipap.jp/link?PTP/57/1197/
DOI : 10.1143/PTP.57.1197

[ Full Text PDF : FREE ACCESS (604K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 57 No. 5 (1977) pp. 1538-1546 :
    Consistency for a Critical Amplitude Ratio Rχ in 1/n and ε Expansions
    Ryuzo Abe and Shinobu Hikami
  2. Progress of Theoretical Physics Vol. 57 No. 6 (1977) pp. 1932-1938 :
    Scaling Function for Equation of State in 1/n and ε Expansions
    Ryuzo Abe and Sinobu Hikami
  3. Progress of Theoretical Physics Vol. 58 No. 2 (1977) pp. 506-515 :
    Fixed Points of a Coupled Order System in 1/n Expansion
    Shinobu Hikami
  4. Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1166-1176 :
    Phase Transitions in Gaussian Random Magnetic Fields
    Fumihiko Tanaka
  5. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 386-392 :
    Logarithmic Corrections to a Simple Power Law at d = 4 in 1/n Expansion
    Yutaka Okabe
  6. Progress of Theoretical Physics Vol. 59 No. 3 (1978) pp. 742-750 :
    1/n Expansion for Weakly Random System
    Ryuzo Abe
  7. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1478-1482 :
    Scaling Function for Equation of State
    Ryuzo Abe
  8. Progress of Theoretical Physics Vol. 59 No. 6 (1978) pp. 1825-1833 :
    1/n Expansion up to Order 1/n2. I
    Yutaka Okabe, Michiyoshi Oku and Ryuzo Abe
  9. Progress of Theoretical Physics Vol. 60 No. 5 (1978) pp. 1277-1286 :
    1/n Expansion Up to Order 1/n2. II
    Yutaka Okabe and Michiyoshi Oku
  10. Progress of Theoretical Physics Vol. 61 No. 2 (1979) pp. 443-451 :
    1/n Expansion Up to Order1/n2. IV
    Michiyoshi Oku and Yutaka Okabe
  11. Progress of Theoretical Physics Vol. 63 No. 5 (1980) pp. 1528-1540 :
    Spherical Limit of Coupled Time-Dependent n-Vector Models. I
    Michiyoshi Oku
  12. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1179-1190 :
    Higher-Order Calculations for Weakly Random System in 1/n Expansion
    Kazuo Ideura, Yutaka Okabe and Ryuzo Abe
  13. Progress of Theoretical Physics Vol. 65 No. 4 (1981) pp. 1237-1245 :
    d'-Dimensional Defect in d-Dimensional Lattice. I
    Ryozo Abe
  14. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1835-1843 :
    d'-Dimensional Defect in d-Dimensional Lattice. II
    Ryuzo Abe
  15. Progress of Theoretical Physics Vol. 66 No. 1 (1981) pp. 77-89 :
    Quenched System in the Spherical Limit of the Random n-Vector Model
    Michiyoshi Oku
  16. Progress of Theoretical Physics Vol. 66 No. 5 (1981) pp. 1604-1611 :
    1/ n Expansion for Weakly Random System with Impurity Correlation
    Kazuhisa Yamamoto and Ryuzo Abe
  17. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1959-1969 :
    Critical Amplitude Ratio ξ0+0T in 1/n and ε Expansions
    Yutaka Okabe and Kazuo Ideura
  18. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 118-130 :
    Gaussian Random Bond Problem for Annealed System in 1/n Expansion
    Michiyoshi Oku and Ryuzo Abe
  19. Progress of Theoretical Physics Vol. 69 No. 2 (1983) pp. 464-479 :
    Higher Order Calculations for d-Dimensional Lattice with d-Dimensional Defect
    Ryuzo Abe, Kazuhisa Yamamoto and Kazuo Ideura
  20. Progress of Theoretical Physics Vol. 70 No. 5 (1983) pp. 1226-1239 :
    The 1/n Expansion for the n-Vector Model in the Semi-Infinite Space
    Kaoru Ohno and Yutaka Okabe
  21. Progress of Theoretical Physics Vol. 72 No. 4 (1984) pp. 736-745 :
    The 1/n Expansion for the Extraordinary Transition of Semi-Infinite System
    Kaoru Ohno and Yutaka Okabe
  22. Progress of Theoretical Physics Vol. 119 No. 1 (2008) pp. 9-27 :
    1/n Expansion of the Random Easy Axis Model
    Kazuo Ideura
  23. Progress of Theoretical Physics Vol. 121 No. 5 (2009) pp. 897-914 :
    1/n Expansion of the Random Easy Axis Model. II
    Kazuo Ideura