Non-Hermitian Luttinger liquids and vortex physicsW. Hofstetter1, I. Affleck2, D. Nelson1 and U. Schollwöck3
1 Lyman Laboratory, Harvard University - Cambridge, MA 02138, USA
2 Department of Physics, Boston University - Boston, MA 02215, USA
3 Sektion Physik, Universität München - Theresienstr. 37 D-80333 München, Germany
(Received 19 November 2003; accepted in final form 6 February 2004)
We study the effect of a single line defect on vortex filaments oriented parallel to the surface of a thin planar high- superconductor. When the applied field is tilted relative to the line defect, the physics is described by a non-Hermitian Luttinger liquid of interacting quantum bosons in one spatial dimension with a point defect. With a combination of analytic and numerical methods we uncover a delicate interplay between enhancement of pinning due to Luttinger-liquid effects and depinning due to the tilted magnetic field. Interactions dramatically affect the transverse magnetization when the Luttinger-liquid parameter .
05.30.Jp - Boson systems.
72.15.Rn - Localization effects (Anderson or weak localization).
74.25.Qt - Vortex lattices, flux pinning, flux creep.
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