Cauchy-Born rule and spin density wave for the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model

TL;DR

This paper extends the classical Cauchy-Born rule to the electronic structure of perfect crystals under magnetic fields using a spin-polarized Thomas-Fermi-Dirac-von Weizsacker model, deriving a micromagnetic energy functional.

Contribution

It introduces an extension of the Cauchy-Born rule for electronic structures considering spin polarization and magnetic effects.

Findings

Established a generalized Cauchy-Born rule for spin-polarized electronic structures.

Derived a Landau-Lifschitz type micromagnetic energy functional.

Provided stability conditions for charge and spin density waves.

Abstract

The electronic structure (electron charges and spins) of a perfect crystal under external magnetic field is analyzed using the spin-polarized Thomas-Fermi-Dirac-von Weizsacker model. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions on charge density wave and spin density wave. A Landau-Lifschitz type micromagnetic energy functional is derived.