Scaling Analysis of Domain-Wall Free-Energy in the Edwards-Anderson Ising Spin Glass in a Magnetic Field

Abstract

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.

4 pages, 5 figures; The text is slightly changed, the figures 3, 4 and 5 are changed, and a few references are added

References in corpus (2)

• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Absence of an Almeida-Thouless line in Three-Dimensional Spin Glasses

Cited by in corpus (5)

• Behavior of Ising Spin Glasses in a Magnetic Field
• Single-particle excitations under coexisting electron correlation and disorder: a numerical study of the Anderson-Hubbard model
• Evidence against a mean field description of short-range spin glasses revealed through thermal boundary conditions
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• First-order phase transition in a 2D random-field Ising model with conflicting dynamics