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Prog. Theor. Phys. Vol. 65 No. 4 (1981) pp. 1237-1245

[ Full Text PDF : FREE ACCESS (303K) ]

d'-Dimensional Defect in d-Dimensional Lattice. I

— Nonuniversal Local Critical Exponent in the Limit n→∞ —

Ryozo Abe

Department of pure and Applited Sciences, University of Tokyo, Komaba. Tokyo 153

(Received November 22, 1980)

Abstract:

The n-vector model in a d-dimensional lattice is studied where a d'-dimensional defect exists. The defect is defined in such a way that the spin length there is different from that in other parts. The pair correlation function in the defect space is discussed in the limit n→∞. It is shown that if d'=2 a critical exponent η' pertaining to the critical correlation is nonuniversal; it does depend on λ where λ is a parameter describing the strength of defect. The η' is calculated up to order of λ.


URL : http://ptp.ipap.jp/link?PTP/65/1237/
DOI : 10.1143/PTP.65.1237

[ Full Text PDF : FREE ACCESS (303K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 65 No. 6 (1981) pp. 1835-1843 :
    d'-Dimensional Defect in d-Dimensional Lattice. II
    Ryuzo Abe
  2. 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
  3. Progress of Theoretical Physics Vol. 66 No. 6 (1981) pp. 1947-1958 :
    Two-Dimensional Defect in Three-Dimensional Lattice
    Kazuhisa Yamamoto and Ryuzo Abe
  4. Progress of Theoretical Physics Vol. 67 No. 1 (1982) pp. 139-146 :
    Two-Dimensional Defect in Three-Dimensional Lattice
    Ryuzo Abe and Kazuhisa Yamamoto
  5. 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
  6. Progress of Theoretical Physics Vol. 70 No. 2 (1983) pp. 366-371 :
    d'-Dimensional Defect in d-Dimensional Lattice. III
    Ryuzo Abe
  7. 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
  8. Progress of Theoretical Physics Vol. 71 No. 1 (1984) pp. 27-34 :
    d'-Dimensional Defect in d-Dimensional Lattice
    Kazuo Ideura and Ryuzo Abe
  9. Progress of Theoretical Physics Vol. 71 No. 3 (1984) pp. 474-478 :
    ε Expansion for a Defect Space
    Kazuo Ideura
  10. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 707-713 :
    Equation for Pair Correlation Function of n-Vector Model
    Ryuzo Abe
  11. 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

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