Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-12-03
J. Phys. A 41 (2008) 175001
Physics
Condensed Matter
Statistical Mechanics
12 pages
Scientific paper
10.1088/1751-8113/41/17/175001
We consider the two-dimensional uniformly frustrated XY model in the limit of small frustration, which is equivalent to an XY system, for instance a Josephson junction array, in a weak uniform magnetic field applied along a direction orthogonal to the lattice. We show that the uniform frustration (equivalently, the magnetic field) destabilizes the line of fixed points which characterize the critical behaviour of the XY model for T <= T_{KT}, where T_{KT} is the Kosterlitz-Thouless transition temperature: the system is paramagnetic at any temperature for sufficiently small frustration. We predict the critical behaviour of the correlation length and of gauge-invariant magnetic susceptibilities as the frustration goes to zero. These predictions are fully confirmed by the numerical simulations.
Alba Vincenzo
Pelissetto Andrea
Vicari Ettore
No associations
LandOfFree
The uniformly frustrated two-dimensional XY model in the limit of weak frustration does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The uniformly frustrated two-dimensional XY model in the limit of weak frustration, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The uniformly frustrated two-dimensional XY model in the limit of weak frustration will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-50842