CJT transition on the magnetization

For the size determination of spin polarons from the field-dependent magnetization data (SQUID results in Fig. 6) we first employed a fitting based on the Brillouin function /3(./), which is justified since the respective temperatures around T]T are sufficiently above the ferromagnetic transition. The paramagnetic magnetization as a function of field is given by 

Hereby g = 2 is the gyromagnetic ratio, /jlb the Bohr magneton, J= 1.94 the average spin per Mn ion, Vcen the volume of the unit cell of LSMO, and J the spin of 

As an alternative method for the determination of the cluster size, we analyzed the low-field magnetic moment data from Fig. 2(c) by means of the modified susceptibility formula [24], derived from equation (1) in the low-field limit g B kB(T — Tc)  

This work was supported by the Flemish Concerted Action (GOA), the Fund for Scientific Research-Flanders (FWO), and the Belgian Interuniversity Attraction Poles (IUAP) Programs. 

NS Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Leninskii pr. 31, 119991 Moscow, Russia 

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