Cantor Spectra for Double Exchange Model

Abstract

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.

4 pages, 4 figures, revtex, corrected some typos, accepted for publication in PRB

References in corpus (5)

• Phase Separation in Electronic Models for Manganites
• Double-exchange model: phase separation versus canted spins
• Static and Dynamical Properties of the Ferromagnetic Kondo Model with Direct Antiferromagnetic Coupling Between the localized $t_{2g}$ Electrons
• Optical spectral weights and the ferromagnetic transition temperature of CMR manganites: relevance of double-exchange to real materials
• ``Flux'' state in double exchange model

Cited by in corpus (2)

• Magnetic phase diagram for a non-extensive system: Experimental connection with manganites
• Evidences for Tsallis non-extensivity on CMR manganites