Stability and the continuum limit of the spin-polarized Thomas-Fermi-Dirac-von Weizsäcker model

E. Weinan, Jianfeng Lu

Research output: Contribution to journalArticle

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Abstract

The 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.

Original languageEnglish (US)
Article number115615
JournalJournal of Mathematical Physics
Volume53
Issue number11
DOIs
StatePublished - Nov 27 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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