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

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

2004-08-23

arxiv.org/abs/cond-mat/0408478v2

J.Stat.Mech.0410:P10003,2004

Physics

Condensed Matter

Superconductivity

39 pages, 17 figures

Scientific paper

10.1088/1742-5468/2004/10/P10003

As a model of 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. This problem can be mapped onto the physics of a Luttinger liquid of interacting bosons in 1 spatial dimension with a point impurity. When the applied magnetic field is tilted relative to the line defect, the corresponding quantum boson Hamiltonian is non-Hermitian. 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 allow a single columnar defect to be very effective in suppressing vortex tilt when the Luttinger liquid parameter g less than equal to 1.

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