  A recent theory described strange metal behavior in a model of a Fermi
surface coupled a two-dimensional quantum critical bosonic field with a
spatially random Yukawa coupling. With the assumption of self-averaging
randomness, similar to that in the Sachdev-Ye-Kitaev model, numerous observed
properties of a strange metal were obtained for wide range of intermediate
temperatures, including the linear-in-temperature resistivity. The Harris
criterion implies that spatial fluctuations in the local position of the
critical point must dominate at lower temperatures. For an $M$-component boson
with $M \geq 2$, we use multiple graphics processing units (GPUs) to compute
the real frequency spectrum of the boson propagator in a self-consistent
mean-field treatment of the boson self-interactions, but an exact treatment of
multiple realizations of the spatial randomness from the random boson mass. We
find that Landau damping from the fermions leads to the emergence of the
physics of the random transverse-field Ising model at low temperatures, as has
been proposed by Hoyos, Kotabage, and Vojta. This regime is controlled by
localized overdamped eigenmodes of the bosonic scalar field, also has a
resistivity which is nearly linear-in-temperature, and extends into a `quantum
critical phase' away from the quantum critical point, as observed in several
cuprates. For the $M = 1$ Ising scalar, the mean-field treatment is not
applicable, and so we use Hybrid Monte Carlo simulations running on multiple
GPUs; we find a rounded transition and localization physics, with strange metal
behavior in an extended region around the transition.
