Equation of state and spin-correlation functions of ultrasmall classical Heisenberg magnets

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Author
Ciftja, Orion
Luban, Marshall
Auslender, Mark
Luscombe, James H.
Date
1999-10-01Metadata
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We obtain analytical expressions for the total magnetic moment and the static spin-correlation
functions of the classical Heisenberg model for ultrasmall systems of spins (unit vectors), that interact via
isotropic, nearest-neighbor (n-n) exchange and that are subject to a uniform dc magnetic field of
arbitrary strength. Explicit results are presented for the dimer, equilateral triangle, square, and
regular tetrahedron arrays of spins. These systems provide a useful theoretical framework for
calculating the magnetic properties of several recently synthesized molecular magnets. The
tetrahedron as well as the equilateral triangle systems, each considered for n-n antiferromagnetic
exchange, are of particular interest since they exhibit frustrated spin ordering for sufficiently
low temperatures and weak magnetic fields. [S0163-1829(99)01538-6]