Cantor Spectra for Double Exchange Model

Дата и время публикации : 2000-09-27T11:14:23Z

Авторы публикации и институты :
Atsuo Satou
Masanori Yamanaka

Ссылка на журнал-издание: Ссылка на журнал-издание не найдена
Коментарии к cтатье: 4 pages, 4 figures, revtex, corrected some typos, accepted for publication in PRB
Первичная категория: cond-mat.mes-hall

Все категории : cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.str-el

Краткий обзор статьи: We numerically study energy spectra and localization properties of the double exchange model at irrational filling factor. To obtain variational ground state, we use a mumerical technique in momentum space by “embedded” boundary condition which has no finite size effect a priori. Although the Hamiltonian has translation invariance, the ground state spontaneously exhibits a self-similarity. Scaling and multi-fractal analysis for the wave functions are performed and the scaling indices $alpha$’s are obtained. The energy spectrum is found to be a singular continuous, so-called the Cantor set with zero Lebesque measure.

Category: Physics