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The statistical mechanics of thermally excited vortex lines with columnardefects can be mapped onto the physics of interacting quantum particles withquenched random disorder in one less dimension. The destruction of the Boseglass phase in Type II superconductors, when the external magnetic field istilted sufficiently far from the column direction, is described by a poorlyunderstood non-Hermitian quantum phase transition. We present here exactresults for this transition in (1+1)-dimensions, obtained by mapping theproblem in the hard core limit onto one-dimensional fermions described by anon-Hermitian tight binding model. Both site randomness and the relativelyunexplored case of bond randomness are considered. Analysis near the mobilityedge and near the band center in the latter case is facilitated by a real spacerenormalization group procedure used previously for Hermitian quantum problemswith quenched randomness in one dimension.Comment: 23 pages, 22 figure

Transverse Meissner physics of planar superconductors with columnar pins