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Four‐sublattice ferrimagnetic systems: I. Quantum fluctuations of spins at zero temperature

Within the framework of the linear spin wave approximation, the quantum fluctuations of spins at zero temperature in four‐sublattice ferrimagnetic systems are studied by employing retard Green's functions. The effects of exchange constants on the quantum fluctuations of spins are discussed for three different spin‐configurations. The magnetic properties of these spin configurations are related to their magnetically structural symmetry. When the parameters of the exchange couplings are adjusted, the crossover of the spin configurations results in the strong quantum fluctuations, owing to the behaviors of the non‐three‐dimensional magnetically system. When two of the four exchange‐constants in the present four‐sublattice bulk systems are set to be zero, the system behaves as a non‐three‐dimensionally magnetic system, although the structure of the system is still three‐dimensional. All the exchange couplings involve in the quantum competition of the systems, but the effects of antiferromagnetic and ferromagnetic exchange couplings are different evidently. The antiferromagnetic exchange couplings play an important role in a balance of the quantum competition. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)