We use the Renormalization Group method to study the Bose-Einstein condensation of the interacting dilute magnons which appears in three dimensional spin systems in magnetic field. The obtained temperature dependence of the critical field Hc(T)−Hc(0)∼T2 is different from the recent self-consistent Hartree-Fock-Popov calculations (cond-mat/0405422) in which a T3/2 dependence was reported . The origin of this difference is discussed in the framework of quantum critical phenomena.
@article{arxiv.cond-mat/0405619,
title = {Bose-Einstein condensation of magnons},
author = {M. Crisan and D. Bodea and I. Tifrea and I. Grosu},
journal= {arXiv preprint arXiv:cond-mat/0405619},
year = {2007}
}