Weinan, ELu, J2017-04-232017-04-232012-11-270022-2488https://hdl.handle.net/10161/14048The continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model in an external magnetic field is studied. An extension of the classical Cauchy-Born rule for crystal lattices is established for the electronic structure under sharp stability conditions on charge density and spin density waves. A Landau-Lifshitz type of micromagnetic energy functional is derived. © 2012 American Institute of Physics.Journal article