Metal-insulator transition for the almost Mathieu operator

• Autores: Svetlanaya Jitomirskaya
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 150, Nº 3, 1999, págs. 1159-1175
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that for Diophantine ù and almost every è, the almost Mathieu operator, (Hù,ë,è )(n) = (n+1)+ (n.1)+ë cos 2ð(ùn+è) (n), exhibits localization for ë > 2 and purely absolutely continuous spectrum for ë < 2. This completes the proof of (a correct version of) the Aubry-Andr/e conjecture.