Quasi-long range order in the random anisotropy Heisenberg model

Details Quasi-long range order in the random anisotropy Heisenberg model Quasi-long range order in the random anisotropy Heisenberg model

1998-12-16

arxiv.org/abs/cond-mat/9812280v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, REVTeX

Scientific paper

10.1134/1.568142

The large distance behaviors of the random field and random anisotropy Heisenberg models are studied with the functional renormalization group in $4-\epsilon$ dimensions. The random anisotropy model is found to have a phase with the infinite correlation radius at low temperatures and weak disorder. The correlation function of the magnetization obeys a power law $<{\bf m}({\bf r}_1) {\bf m}({\bf r}_2)>\sim| {\bf r}_1-{\bf r}_2|^{-0.62\epsilon}$. The magnetic susceptibility diverges at low fields as $\chi\sim H^{-1+0.15\epsilon}$. In the random field model the correlation radius is found to be finite at the arbitrarily weak disorder.

Affiliated with

Also associated with

No associations

Rating

Quasi-long range order in the random anisotropy Heisenberg model 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 Quasi-long range order in the random anisotropy Heisenberg model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quasi-long range order in the random anisotropy Heisenberg model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122120