Abstract
The structure and equilibrium properties of a two-dimensional system of superconducting vortices in a periodic pinning potential with square symmetry are studied numerically. For a range of the strength of the pinning potential, the low-temperature crystalline state exhibits only one of the two basic periodicities (in the x and y directions) of the pinning potential. This “partially pinned” solid undergoes a continuous melting transition to a weakly modulated liquid as the temperature is increased. A spin model, constructed using symmetry arguments, is shown to reproduce the critical behavior at this transition.
- Received 7 June 2002
DOI:https://doi.org/10.1103/PhysRevB.66.212506
©2002 American Physical Society