We analyze the spin relaxation time 1/T1 for a system made of weakly coupled one dimensional ladders.This system allows to probe the dimensional crossover between a Luttinger liquid and a Bose-Einstein condensateof magnons. We obtain the temperature dependence of 1/T1 in the various dimensional regimes, and discuss the experimental consequences.
@article{arxiv.cond-mat/0701590,
title = {Critical properties and Bose Einstein Condensation in dimer spin systems},
author = {E. Orignac and R. Citro and T. Giamarchi},
journal= {arXiv preprint arXiv:cond-mat/0701590},
year = {2007}
}