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values off allow an exact square lattice. The relative sparseness in the number of values
plotted at higher f merely reflects the fewer number of low energy states found there.
Obviously, an energy can be given to everyf, but the problem is to find the lowest energy
states. The connectivity drawn between e (f) values is only a guide to the eye.20
10
A0.1 0.2 0.3 0.4 0.5
Fig. 8 Vortex grid energy vs. filling fraction.
4. Summary. An expression is now available that is well suited for numerical
evaluation of the energy density of arbitrary vortex lattices. The basic properties of stable
vortex lattices are currently unknown and, judging from the two-vortex lattice, their
morphology promises to be rich. Quantum fluids, in the general sense, offer a direct
application of vortex lattice theory. Further applications can be found in systems of
logarithmically interacting objects (dislocations, line currents, line charges, etc.) or by
maapping to a vortex lattice, as illustrated by the Josephson junction array.
Acknowledgements. It is a pleasure to acknowledge valuable collaboration on
these subjects with Mauro Doria, James Kadtke, Vladimir Kogan and Kevin O'Neil, and
discussions with Alan Bishop, Indu Sarija, Jim Sauls and Stuart Trugman.
REFERENCES
1. L. J. Campbell, M. M. Doria, and V. G. Kogan, Vortex lattice structure in anisotopic
superconductors. Phys. Rev. B, Rapid Commurnications, accepted for publication.
2. L. J. Campbell and R. M. Ziff, Vortex patte, is and energies in a roataing superfluid.
Phys. Rev. 20 (1979), pp. 1886-1902.
3. M. M. Doria, J. B. Kadtke, L. J. Campbell, Energy of infinite vortex lattices. to be
published.
4. M. L. Glasser, The evaluation of lattice sums. J. Math. Phys. 15 (1974), pp.
188-189.
5. T. C. Halwsy, Josephson-iunction arrays in trarsverse magnetic fields: ground states
and critial currents. Phys. Rev. B31 (1985), pp. 5728-5744.
6. J. B. Kadtke, Equilibria. lattices. and chaotic dynamics of point vrtices. Ph.D. Thesis,
Department o Physics, Brown University, 1987.
7. K. O'Neil, The energy of a vortex lattice configuration. these proceedings.
8. J. I. Palmore. Relative equilibria of vortices in two dimensions Proc. Natl. Acad. Sci.
USA 79 (1982), pp. 716-71.8.
9. S. Teitel and C. Jayaprakash, Josephson junction arrays in transverse magnetic fields.
Phys. Rev. Lett. 51(1983), pp. 1999-2002.
10. V. K. Tkachenko,.On vortex lattices. Sov. Phys. JETP 22 (1966), pp. 1282-1286.
11. V. K. Tkachenko,Stabilit of vortex lattices, Sov. Phys. JETP 23 (1966), pp.
1049-1056.-V
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Capmbell, Laurence J. Vortex lattices in theory and practice, article, January 1, 1988; New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc1189559/m1/12/: accessed July 16, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.