Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-08-06
Nucl.Phys. B709 (2005) 550-577
Physics
Condensed Matter
Statistical Mechanics
28 pages, 3 figs
Scientific paper
10.1016/j.nuclphysb.2004.12.006
We investigate the phase diagram and, in particular, the nature of the the multicritical point in three-dimensional frustrated $N$-component spin models with noncollinear order in the presence of an external field, for instance easy-axis stacked triangular antiferromagnets in the presence of a magnetic field along the easy axis. For this purpose we study the renormalization-group flow in a Landau-Ginzburg-Wilson \phi^4 theory with symmetry O(2)x[Z_2 +O(N-1)] that is expected to describe the multicritical behavior. We compute its MS \beta functions to five loops. For N\ge 4, their analysis does not support the hypothesis of an effective enlargement of the symmetry at the multicritical point, from O(2) x [Z_2+O(N-1)] to O(2)xO(N). For the physically interesting case N=3, the analysis does not allow us to exclude the corresponding symmetry enlargement controlled by the O(2)xO(3) fixed point. Moreover, it does not provide evidence for any other stable fixed point. Thus, on the basis of our field-theoretical results, the transition at the multicritical point is expected to be either continuous and controlled by the O(2)xO(3) fixed point or to be of first order.
Calabrese Pasquale
Pelissetto Andrea
Vicari Ettore
No associations
LandOfFree
Multicritical behavior in frustrated spin systems with noncollinear order 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 Multicritical behavior in frustrated spin systems with noncollinear order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multicritical behavior in frustrated spin systems with noncollinear order will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-500656