Interplay between mesoscopic phase separation and bulk magnetism in the   layered NaxCoO2
  Specific heat of the layered NaxCoO2 (x=0.65, 0.70 and 0.75) oxides has been measured in the temperature range of 3-360 K and magnetic field of 0 and 9 T. The analysis of data, assuming the combined effect of inter-layer superexchange and the phase separation into mesoscopic magnetic domains with localized spins embedded in a matrix with itinerant electronic character, suggests that the dominant contribution to the specific heat in the region of short-range ordering is mediated by quasi-2D antiferromagnetic clusters, perpendicular to the CoO2 layers. 
A. Zorkovska, M. Orendac, J. Sebek, E. Santava, P. Svoboda, I.   Bradaric, I. Savic, and A. Feher