Incommensurateness effects in a lattice Ginzburg-Landau model |
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Authors: | E S Babaev S A Ktitorov |
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Institution: | (1) A. F. Ioffe Physico-Technical Institute, Russian Academy of Sciences, 194021 St. Petersburg, Russia |
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Abstract: | This paper discusses the effect of magnetic translational symmetry on the vortex structure in superconducting crystals with
a large basis in artificial Josephson media (regular lattices of superconducting clusters) prepared with opal as the base
material. For external magnetic fields lower than the upper critical field, the lattice Ginzburg-Landau model reduces to the
two-dimensional Frenkel’-Kontorova model which in some cases is exactly solvable, in which the crystal lattice plays the role
of an “hard sublattice” while the deformable vortex lattice plays the role of a “soft sublattice.” It is shown that static
shear waves in the vortex lattice are solutions to the two-dimensional sine-Gordon equation with an additional condition of
incompressibility implied by flux quantization. The pinning energy is found as a function of the magnetic field, nearness
to the transition line, and the crystal lattice constant.
Fiz. Tverd. Tela (St. Petersburg) 39, 1158–1162 (July 1997) |
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