Non-Hermitian Luttinger Liquids and Vortex Physics

Details Non-Hermitian Luttinger Liquids and Vortex Physics Non-Hermitian Luttinger Liquids and Vortex Physics

2003-05-22

arxiv.org/abs/cond-mat/0305543v2

Europhys. Lett. 66, 178 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 5 eps figures, minor changes made, one reference added

Scientific paper

10.1209/epl/i2003-10204-2

As a model of two thermally excited flux liquids connected by a weak link, we study the effect of a single line defect on vortex filaments oriented parallel to the surface of a thin planar superconductor. When the applied field is tilted relative to the line defect, the physics is described by a nonhermitian Luttinger liquid of interacting quantum bosons in one spatial dimension with a point defect. We analyze this problem using a combination of analytic and numerical density matrix renormalization group methods, uncovering a delicate interplay between enhancement of pinning due to Luttinger liquid effects and depinning due to the tilted magnetic field. Interactions dramatically improve the ability of a single columnar pin to suppress vortex tilt when the Luttinger liquid parameter g is less than or equal to one.

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