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Non-Hermitian Luttinger Liquids and Vortex Physics

Walter Hofstetter·Ian Affleck·David R. Nelson·Ulrich Schollwoeck
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Abstract

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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Walter Hofstetter, Ian Affleck, David R. Nelson, Ulrich Schollwoeck. 2003-07-09. Non-Hermitian Luttinger Liquids and Vortex Physics. https://doi.org/10.1209/epl%2Fi2003-10204-2

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