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Volumn 70, Issue 1, 2004, Pages

Low-temperature behavior of two-dimensional Gaussian Ising spin glasses

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; BINDER CUMULANT; CORRELATION LENGTH; EQUILIBRIUM CONSTANT; HEATING; ISING SPIN GLASS; LOW TEMPERATURE PROCEDURES; MATHEMATICS; MONTE CARLO METHOD; NORMAL DISTRIBUTION; PHASE TRANSITION; THERMODYNAMICS;

EID: 45849154620     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.014418     Document Type: Article
Times cited : (135)

References (45)
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    • Reviews on spin glasses can be found in K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998); N. Kawashima and H. Rieger, cond-mat/0312432 unpublished).
    • (1986) Rev. Mod. Phys. , vol.58 , pp. 801
    • Binder, K.1    Young, A.P.2
  • 2
    • 0003571050 scopus 로고
    • World Scientific, Singapore
    • Reviews on spin glasses can be found in K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998); N. Kawashima and H. Rieger, cond-mat/0312432 unpublished).
    • (1987) Spin Glass Theory and Beyond
    • Mézard, M.1    Parisi, G.2    Virasoro, M.A.3
  • 3
    • 0004215583 scopus 로고
    • Cambridge University Press, Cambridge
    • Reviews on spin glasses can be found in K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998); N. Kawashima and H. Rieger, cond-mat/0312432 unpublished).
    • (1991) Spin Glasses
    • Fisher, K.H.1    Hertz, J.A.2
  • 4
    • 0003975020 scopus 로고    scopus 로고
    • edited by A. P. Young (World Scientific, Singapore)
    • Reviews on spin glasses can be found in K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998); N. Kawashima and H. Rieger, cond-mat/0312432 unpublished).
    • (1998) Spin Glasses and Random Fields
  • 5
    • 33646646991 scopus 로고    scopus 로고
    • cond-mat/0312432 unpublished)
    • Reviews on spin glasses can be found in K. Binder and A. P. Young, Rev. Mod. Phys. 58, 801 (1986); M. Mézard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991); Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1998); N. Kawashima and H. Rieger, cond-mat/0312432 unpublished).
    • Kawashima, N.1    Rieger, H.2
  • 12
    • 0012041534 scopus 로고
    • edited by J. L. van Hemmen and I. Morgenstern (Springer, Berlin)
    • A. J. Bray and M. A. Moore, in Glassy Dynamics and Optimization, edited by J. L. van Hemmen and I. Morgenstern (Springer, Berlin, 1986).
    • (1986) Glassy Dynamics and Optimization
    • Bray, A.J.1    Moore, M.A.2
  • 14
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    • D. S. Fisher and D. A. Huse, Phys. Rev. Lett. 56, 1601 (1986); Phys. Rev. B 38, 386 (1988).
    • (1988) Phys. Rev. B , vol.38 , pp. 386
  • 15
    • 33646646782 scopus 로고    scopus 로고
    • note
    • For a bimodal distribution of the bonds, θ=0, see Ref. 4, corresponding to an exponential divergence of the correlation length. Ref. 5.
  • 28
    • 0038692910 scopus 로고    scopus 로고
    • Although recently, when studying [M. Picco, F. Ritort, and M. Sales, Phys. Rev. B 67, 184421 (2003)] first excitations of small systems (L ≤ 12), again an exponent close to -0.47 has been found. This seems also to depend on the boundary conditions [A. K. Hartmann and M, Moore, Phys. Rev. B 69, 104409 (2004)].
    • (2003) Phys. Rev. B , vol.67 , pp. 184421
    • Picco, M.1    Ritort, F.2    Sales, M.3
  • 29
    • 2142753079 scopus 로고    scopus 로고
    • Although recently, when studying [M. Picco, F. Ritort, and M. Sales, Phys. Rev. B 67, 184421 (2003)] first excitations of small systems (L ≤ 12), again an exponent close to -0.47 has been found. This seems also to depend on the boundary conditions [A. K. Hartmann and M, Moore, Phys. Rev. B 69, 104409 (2004)].
    • (2004) Phys. Rev. B , vol.69 , pp. 104409
    • Hartmann, A.K.1    Moore, M.2
  • 41
    • 0001479176 scopus 로고
    • R. N. Bhatt and A. P. Young, Phys. Rev. Lett. 54, 924 (1985); Phys. Rev. B 37, 5606 (1988).
    • (1988) Phys. Rev. B , vol.37 , pp. 5606


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