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… 
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References

Functional integrals and collective excitations
Part I. Functional Integrals and Diagram Techniques in Statistical Physics: Part II. Superfluid Bose Systems: Part III. Plasma and Superfluid Fermi Systems: Part IV. Crystals, Heavy Atoms, Model