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Volumn 39, Issue 13, 1989, Pages 9153-9174

Theory of melted flux liquids

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EID: 0000226925     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.39.9153     Document Type: Article
Times cited : (603)

References (54)
  • 22
    • 84926798991 scopus 로고    scopus 로고
    • Related treatments of the Lindemann criterion using, however, an isotropic estimate such as (2.16) for the tilt modulus, have been presented by A. Houghton and R. A. Pelcovits (unpublished); see also, M. V. Feigel'mann and V. M. Vinokur (unpublished).
  • 23
    • 84926798993 scopus 로고
    • M. A. Moore, Phys. Rev. B (to be published) uses a Lindemann criterion in a different way to estimate the onset of flux lattice melting. Building on work by D. Maki and H. Takayama [, ] and G. Eilenberger [, Phys. Rev., 164, 628, ], he proposes a continuum elastic theory which depends only on the shear modulus and the superfluid density. This elastic free energy, however, appears to lead to a divergent energy when the flux lines are tilted, in contrast with the finite tilt elastic constant predicted by Eq. (2.16). Tilt energies are determined by a superfluid density which vanishes as H -> Hc2 in Moore's theory, rather than by the macroscopic magnetic response as discussed here. The crossover from Moore's description to the one used here occurs at long wavelengths, and can be understood using the nonlocal elastic constants derived by Brandt;
    • (1967) Prog. Theor. Phys. , vol.46 , pp. 1651
  • 30
    • 84926798990 scopus 로고    scopus 로고
    • R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965); R. P. Feynman, Statistical Mechanics (Benjamin, Reading, 1972).
  • 33
    • 84926798989 scopus 로고    scopus 로고
    • and (unpublished).
  • 34
    • 0346155158 scopus 로고
    • We note, however, that this issue is not yet settled in the closely related problem of entangled polymer melts, where there may actually be a phase transition as function of the polymerization index N. See
    • (1987) Phys. Rev. Lett. , vol.59 , pp. 2674
    • Kavassalis, T.A.1    Noolandi, J.2
  • 38
    • 84926864296 scopus 로고    scopus 로고
    • A very similar situation arises in renormalization-group treatments of d""-dimensional bosons at low temperatures;
  • 41
    • 0003705057 scopus 로고
    • J. E. Mayer and M. G. Mayer, Statistical Mechanics (Wiley, New York, 1977). For a related quantum virial expansion, see, Pergamon, New York, Sec. 9.7.
    • (1984) Statistical Mechanics
    • Pathria, R.K.1
  • 48
    • 0142013174 scopus 로고
    • For an example of a translationally disordered system which becomes crystalline with increasing temperature (reentrant melting) for similar reasons, see
    • (1983) Phys. Rev. B , vol.27 , pp. 2902
    • Nelson, D.R.1
  • 49
    • 84926864295 scopus 로고    scopus 로고
    • Natterman and Lipowsky (Ref. 38) suggest that the random-field model overestimates the effect of pinning, and argue that a three-dimensional flux lattice is in fact stable to weak pinning.
  • 50
    • 84926798988 scopus 로고    scopus 로고
    • Feigel'man and Vinokur, Ref. 22.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.