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Volumn 74, Issue 19, 1995, Pages 3896-3899

Finite temperature transitions in 2D dipolar systems with uniaxial anisotropy

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[No Author keywords available]

Indexed keywords


EID: 0000745199     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.74.3896     Document Type: Article
Times cited : (44)

References (33)
  • 1
  • 2
    • 37049081511 scopus 로고
    • J. Chem. Soc. Faraday Trans. 2
    • (1991) , vol.87 , pp. 2031
    • Hautman, J.1
  • 15
    • 84927845229 scopus 로고    scopus 로고
    • Ee→Σq1.5J|qa|2 |S⊥(q)2 at small q.
  • 16
    • 84927845228 scopus 로고    scopus 로고
    • The factor 0.75gΣ1/R3 corresponds to the demagnetization field of 4πM. For the triangular lattice 0.75Σ1/R3=1/0.120 83.
  • 19
    • 84927845227 scopus 로고    scopus 로고
    • Recall that Siz2+Si⊥2=1. This introduces the nonlinear terms.
  • 25
    • 0009542017 scopus 로고
    • For a discussion of long range interactions in 2D Heisenberg systems, see
    • (1977) Phys. Rev. B , vol.15 , pp. 4344
    • Sak, J.1
  • 26
    • 84927845226 scopus 로고    scopus 로고
    • The RG equation derived in Ref. [c20] is for a negative Δ, corresponding to x- y anisotropy. This result is correct. The RG equation derived in Ref. [c21] is claimed to be for the Ising anisotropy (positive Δ) and has the same form as that of Ref. [c19]. We think this is not completely correct. There is no direct anharmonic correction from the anisotropy term in that case. In the correct result, a factor of n ln(b)T/2π should be replaced by (n-1)ln(b)T/2π.
  • 27
    • 84927845225 scopus 로고    scopus 로고
    • The self-consistent mean field equations can be easily obtained from Mi=∂βHilnZ′|H=0 where Z′ is the partition function given by Z′=∫exp(-βE). Making use of the identity exp( fcosφ)=Σn=-∞n=∞In( f)exp(-inφ) the φ integration can be carried out.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.