01-12E

# 01-12E

By - Posted on 08 February 2012

UDC:
530.145
PACS:
61.43.-j, 64.60.Ak

On the critical behaviour of random anisotropy magnets: cubic anisotropy

M. Dudka
R. Folk
Yu. Holovatch

The critical behaviour of an $m$-vector model with a local anisotropy axis of random orientation is studied within the field-theoretical renormalization group approach for cubic distribution of anisotropy axis. Expressions for the renormalisation group functions are calculated up to the two-loop order and investigated both by an $\varepsilon =4-d$ expansion and directly at space dimension $d=3$ by means of the Pad\'e-Borel resummation. One accessible stable fixed point indicating a 2nd order ferromagnetic phase transition with dilute Ising-like critical exponents is obtained.

Year:
2001
Pages:
15