Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy

Details Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy

2001-11-07

arxiv.org/abs/cond-mat/0111118v2

Phys.Rev. B66 (2002) 184410

Physics

Condensed Matter

Statistical Mechanics

14 pages, 9 figures

Scientific paper

10.1103/PhysRevB.66.184410

We study the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy. We compute and analyze the fixed-dimension perturbative expansion of the renormalization-group functions to four loops. The relations of these models with N-color Ashkin-Teller models, discrete cubic models, planar model with fourth order anisotropy, and structural phase transition in adsorbed monolayers are discussed. Our results for N=2 (XY model with cubic anisotropy) are compatible with the existence of a line of fixed points joining the Ising and the O(2) fixed points. Along this line the exponent $\eta$ has the constant value 1/4, while the exponent $\nu$ runs in a continuous and monotonic way from 1 to $\infty$ (from Ising to O(2)). For N\geq 3 we find a cubic fixed point in the region $u, v \geq 0$, which is marginally stable or unstable according to the sign of the perturbation. For the physical relevant case of N=3 we find the exponents $\eta=0.17(8)$ and $\nu=1.3(3)$ at the cubic transition.

Affiliated with

Also associated with

No associations

Rating

Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy 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 Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical behavior of the two-dimensional N-component Landau-Ginzburg Hamiltonian with cubic anisotropy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-102494