The eigenfunctions of the Pauli Hamiltonian for an iron crystal in the ferromagnetic phase

Abstract

The symmetrized eigenfunctions of the Pauli Hamiltonian with the spin-orbit term included for an electron in an iron-crystal ferromagnetic domain for three directions of the magnetization: [001], [110] and [111] are calculated. Double magnetic space groups, describing the full symmetry of the problem, and their corepresentations were utilized for the first time to calculate these symmetry-adapted eigenfunctions. A discussion concerning possible applications of the presented eigenfunctions to band-structure calculations within the framework of a tight-binding approach is given.