Bose-Einstein condensation of magnons

Abstract

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.

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