Europhys. Lett.
Volume 66, Number 2, April 2004
Page(s) 178 - 184
Section General
Published online 01 April 2004
Europhys. Lett., 66 (2) , pp. 178-184 (2004)
DOI: 10.1209/epl/i2003-10204-2

Non-Hermitian Luttinger liquids and vortex physics

W. 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- $T_{\ab{c}}$ 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 $g\le 1$.

05.30.Jp - Boson systems.
72.15.Rn - Localization effects (Anderson or weak localization).
74.25.Qt - Vortex lattices, flux pinning, flux creep.

© EDP Sciences 2004