TY - JOUR
T1 - Scaling analysis of domain-wall free energy in the Edwards-Anderson Ising spin glass in a magnetic field
AU - Sasaki, M.
AU - Hukushima, K.
AU - Yoshino, H.
AU - Takayama, H.
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2007/9/25
Y1 - 2007/9/25
N2 - The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings Jeff and effective fields Heff associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H→0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.
AB - The stability of the spin-glass phase against a magnetic field is studied in the three- and four-dimensional Edwards-Anderson Ising spin glasses. Effective couplings Jeff and effective fields Heff associated with length scale L are measured by a numerical domain-wall renormalization-group method. The results obtained by scaling analysis of the data strongly indicate the existence of a crossover length beyond which the spin-glass order is destroyed by field H. The crossover length well obeys a power law of H which diverges as H→0 but remains finite for any nonzero H, implying that the spin-glass phase is absent even in an infinitesimal field. These results are well consistent with the droplet theory for short-range spin glasses.
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U2 - 10.1103/PhysRevLett.99.137202
DO - 10.1103/PhysRevLett.99.137202
M3 - Article
AN - SCOPUS:34748858503
VL - 99
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 13
M1 - 137202
ER -