메뉴 건너뛰기




Volumn 38, Issue 1, 1988, Pages 386-411

Equilibrium behavior of the spin-glass ordered phase

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33744620852     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.38.386     Document Type: Article
Times cited : (956)

References (58)
  • 3
    • 84926815321 scopus 로고    scopus 로고
    • and references therein.
  • 13
    • 84926793341 scopus 로고    scopus 로고
    • As reviewed in Ref. 1.
  • 18
    • 0000106742 scopus 로고
    • have, on the other hand, studied the properties of the available zero-energy excitations in a +- J Ising spin glass.
    • (1986) J. Stat. Phys. , vol.44 , pp. 347
    • Bovier, A.1    Frohlich, J.2
  • 21
    • 84926837060 scopus 로고    scopus 로고
    • For a one-dimensional spin glass, the droplet distribution scaling function as we have defined here will be ρ̃ (x)=2 (e-x-e-2x) and thus will not have ρ̃(0)>0. This is peculiar to one dimension where the large ``droplet'' consists of two well-separated ``domain walls,'' each of which has positive energy. The scaling distribution for the domain wall energies is ρ̃w=e-x, as shown, for example, in Ref. 7. Since the droplet energy is the sum of the two positive domain wall energies, the droplet distribution function has ρ̃ (x) app x for small x. This is a symptom of the fact that a one-dimensional spin glass with only short-range interactions has no large-scale frustration.
  • 26
    • 84926837059 scopus 로고    scopus 로고
    • We have assumed that droplets of scale L << rij are unlikely to contain both i and j. In Ising ferromagnets, long thin excitations in fact dominate the long-distance correlations (Refs. 22, 23, and 27). If theta>1, then this is also true in the spin glass for a typical pair i, j, and {- ln | Cij|} bar app rij since the energy of a long droplet of length r and width app1 will be app r. Since, as we have argued elsewhere, the low free-energy droplets are compact (in the sense of the fractal dimension of their interiors being equal to d), the thermally active excitations which enclose both i and j will, however, be of scale L >wig rij. Thus our results for C2(r) are valid for all theta.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.