# Vortex pinning and the non-Hermitian Mott transition

@article{Lehrer1998VortexPA, title={Vortex pinning and the non-Hermitian Mott transition}, author={Raphael A. Lehrer and David R. Nelson}, journal={Physical Review B}, year={1998}, volume={58}, pages={12385-12403} }

The boson Hubbard model has been extensively studied as a model of the zero temperature superfluid/insulator transition in Helium-4 on periodic substrates. It can also serve as a model for vortex lines in superconductors with a magnetic field parallel to a periodic array of columnar pins, due to a formal analogy between the vortex lines and the statistical mechanics of quantum bosons. When the magnetic field has a component perpendicular to the pins, this analogy yields a non-Hermitian boson…

## 12 Citations

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

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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…

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We examine the interplay of band theory and non-Hermitian mechanics in a classical system of thermally fluctuating directed polymers subject to shear forces and experiencing a continuum periodic…

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We examine the interactions of the vortex lattice with a periodic square array of holes in a superconducting Nb film. Using high-resolution magnetic-field measurements of electrical losses, extremely…

[Formula: see text]-Symmetric Effective Model for Nonequilibrium Phase Transitions in a Dissipative Fermionic Mott Insulator Chain.

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A microscopic mechanism leading to the [Formula: see text]-symmetric effective model in the context of the nonequilibrium Mott transition in a dissipative Hubbard chain is proposed.

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Abstract We discuss a class of representations of quantum mechanics which uses functions defined on a parameter space to represent observable quantities. We show that infinitesimal canonical…

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