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Interaction effects in non-Hermitian models of vortex physics

Kihong Kim·David R. Nelson
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Abstract

Vortex lines in superconductors in an external magnetic field slightly tilted from randomly-distributed parallel columnar defects can be modeled by a system of interacting bosons in a non-Hermitian vector potential and a random scalar potential. We develop a theory of the strongly-disordered non-Hermitian boson Hubbard model using the Hartree-Bogoliubov approximation and apply it to calculate the complex energy spectra, the vortex tilt angle and the tilt modulus of (1+1)-dimensional directed flux line systems. We construct the phase diagram associated with the flux-liquid to Bose-glass transition and find that, close to the phase boundary, the tilted flux liquid phase is characterized by a band of localized excitations, with two mobility edges in its low-energy spectrum.

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Kihong Kim, David R. Nelson. 2001-05-14. Interaction effects in non-Hermitian models of vortex physics. https://doi.org/10.1103/physrevb.64.054508

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