#### Title

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

#### Document Type

Article

#### Publication Date

1-1-1999

#### Abstract

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. © 1999 The American Physical Society.

#### Recommended Citation

Ciftja, O., & Luban, M. (1999). Equation of state and spin-correlation functions of ultrasmall classical heisenberg magnets. Retrieved from https://digitalcommons.pvamu.edu/chemistry-physics-facpubs/271