Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1999-07-02
J. Phys. A: Math. Gen. 33 (2000) 1
Physics
Condensed Matter
Statistical Mechanics
25 pages, Latex, 12 figures (.eps files) and IOP style files included
Scientific paper
10.1088/0305-4470/33/1/301
We investigate the static critical behaviour of a uniaxial magnetic layer, with finite thickness L in one direction, yet infinitely extended in the remaining d dimensions. The magnetic dipole-dipole interaction is taken into account. We apply a variant of Wilson's momentum shell renormalisation group approach to describe the crossover between the critical behaviour of the 3-D Ising, 2-d Ising, 3-D uniaxial dipolar, and the 2-d uniaxial dipolar universality classes. The corresponding renormalisation group fixed points are in addition to different effective dimensionalities characterised by distinct analytic structures of the propagator, and are consequently associated with varying upper critical dimensions. While the limiting cases can be discussed by means of dimensional epsilon expansions with respect to the appropriate upper critical dimensions, respectively, the crossover features must be addressed in terms of the renormalisation group flow trajectories at fixed dimensionality d.
Bulenda Michael
Schwabl Franz
T"auber Uwe C.
No associations
LandOfFree
Dimensional crossover in dipolar magnetic layers 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 Dimensional crossover in dipolar magnetic layers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dimensional crossover in dipolar magnetic layers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-581599