  We study the Edwards-Anderson model on a simple cubic lattice with a finite
constant external field. We employ an indicator composed of a ratio of
susceptibilities at finite wavenumbers, which was recently proposed to avoid
the difficulties of a zero momentum quantity, for capturing the spin glass
phase transition. Unfortunately, this new indicator is fairly noisy, so a large
pool of samples at low temperature and small external field are needed to
generate results with sufficiently small statistical error for analysis. We
thus implement the Monte Carlo method using graphics processing units to
drastically speedup the simulation. We confirm previous findings that
conventional indicators for the spin glass transition, including the Binder
ratio and the correlation length do not show any indication of a transition for
rather low temperatures. However, the ratio of spin glass susceptibilities do
show crossing behavior, albeit a systematic analysis is beyond the reach of the
present data. This calls for a more thorough study of the three-dimension
Edwards-Anderson model in an external field.
