M. Sasaki, K. Hukushima, H. Yoshino, H. Takayama
Published 2007-02-13, updated 2007-08-02Version 2
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 and effective fields 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 goes to zero but remains finite for any non-zero 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.
Comments: 4 pages, 5 figures; The text is slightly changed, the figures 3, 4 and 5 are changed, and a few references are added
Local excitations of a spin glass in a magnetic field
Effect of a Magnetic Field on the Dipole Echo in Glasses with Nuclear Quadrupole Moments
Phase diagram of localization in a magnetic field
