Magnetic Ordering in a System of Identical Particles with Arbitrary Spin

Abstract

AbstractThe Wigner–Eckart theorem is used to consider collective effects associated with the ordering of spins in systems of identical particles in Ferro- and antiferromagnetic electronic systems, as well as magnetic effects arising in high-spin systems. The Hamiltonian obtained by Heisenberg, Dirac, and Van Vleck was written in the spin representation used to describe spin ordering in systems of particles with spin 1/2. This form is not suitable for describing systems of particles with a spin other than 1/2. “High-spin” particles in the spin representation should be described by other forms of the exchange interaction Hamiltonian in the spin representation. The Hamiltonian for high-spin particles is derived from the first principles. This chapter discusses the effects of magnetic ordering in systems of identical particles with arbitrary spin.KeywordsAngular momentumSpinorsPermutationHigh spinMagnetizationSpin-one chainAntiferromagnetic ordering