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Critical Exponents and Magnetic Short‐Range Order in the System CdCr 2x In 2–2x S 4
Author(s) -
Hamedoun M.,
Cherriet Y.,
Houssa M.
Publication year - 2000
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200010)221:2<729::aid-pssb729>3.0.co;2-7
Subject(s) - condensed matter physics , paramagnetism , critical exponent , heisenberg model , ferromagnetism , magnetic susceptibility , physics , lattice (music) , spinel , correlation function (quantum field theory) , phase transition , materials science , quantum mechanics , acoustics , dielectric , metallurgy
High temperature series expansions are derived for the magnetic susceptibility and two‐spin correlation functions for a Heisenberg ferromagnetic model on the B‐spinel lattice. The calculations are done in the framework of the random phase approximation and are given for both nearest and next‐nearest neighbour exchange integrals J 1 and J 2 , respectively. Our results are given up to order six in β = ( k B T ) –1 and are used to study the paramagnetic region of the ferromagnetic spinel CdCr 2 x In 2–2 x S 4 . The critical temperature T c and the critical exponents γ and ν associated with the magnetic susceptibility χ ( T ) and the correlation length ξ ( T ), respectively, are deduced by applying the Padé approximant methods. The results as a function of the dilution x obtained by the present approach are found to be in excellent agreement with the experimental ones and can be compared with other theoretical studies based on the 3D Heisenberg model.