Vortex lattices in theory and practice
Abstract
Infinite, twofold periodic vortex arrays are studied. An expression for the energy density of an arbitrary vortex lattice is discussed. For the case of two vortices per unit cell, the morphology of stable lattices can be described completely. A nontrivial physical realization of such lattices is a rotating mixture of He3 and He4 at temperatures so low that both isotopic components are superfluid. The structure of the expected lattices is quite different from the usual triangular structure. Magnetic flux lines in hightemperature superconductors show a oneparameter family of degenerate ground states of lattice due to the anisotropy of the vortexvortex interaction. The case of vortices confined to a grid is also discussed.
 Publication:

Mathematical Aspects of Vortex Dynamics
 Pub Date:
 1989
 Bibcode:
 1989mavd.proc..195C
 Keywords:

 High Temperature Superconductors;
 Josephson Junctions;
 Superfluidity;
 Vortices;
 Bessel Functions;
 Lagrange Multipliers;
 Lattices;
 Monte Carlo Method;
 Fluid Mechanics and Heat Transfer