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As a model of thermally excited flux liquids connected by a weak link, westudy the effect of a single line defect on vortex filaments oriented parallelto the surface of a thin planar superconductor. This problem can be mapped ontothe physics of a Luttinger liquid of interacting bosons in 1 spatial dimensionwith a point impurity. When the applied magnetic field is tilted relative tothe line defect, the corresponding quantum boson Hamiltonian is non-Hermitian.We analyze this problem using a combination of analytic and numerical (densitymatrix renormalization group) methods, uncovering a delicate interplay betweenenhancement of pinning due to Luttinger liquid effects and depinning due to thetilted magnetic field. Interactions allow a single columnar defect to be veryeffective in suppressing vortex tilt when the Luttinger liquid parameter g lessthan equal to 1.Comment: 39 pages, 17 figure

Non-Hermitian Luttinger liquids and flux line pinning in planar superconductors