Tp. Devereaux et al., EFFECT OF COMPETITION BETWEEN POINT AND COLUMNAR DISORDER ON THE BEHAVIOR OF FLUX LINES IN (1-DIMENSIONS(1)), Physical review. B, Condensed matter, 50(18), 1994, pp. 13625-13631
We investigate the behavior of flux lines in the presence of both colu
mnar and point disorder in (1+1) dimensions using renormalization-grou
p (RG) and world-line quantum Monte Carlo (QMC) techniques. In particu
lar, we calculate the transverse wandering correlation function for a
single boson and recover known results for point and columnar disorder
separately. We then examine the existence of a localization transitio
n of a flux Line in the simultaneous presence of both types of disorde
r. We also performed RG calculations for interacting flux lines. The R
G calculations indicate that the vortex glass is unstable with respect
to an arbitrary small amount of columnar disorder. Using QMC techniqu
es we find that the Bose glass transition temperature is reduced by th
e point disorder; in agreement with recent RG calculations. Further we
find that the region posited to be an Anderson glass is completely de
stroyed.