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Description
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 $��$'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
Journal
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- Physical Review B
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Physical Review B 63 2001-05-08
American Physical Society (APS)
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Keywords
- Condensed Matter - Strongly Correlated Electrons
- Condensed Matter - Mesoscale and Nanoscale Physics
- Statistical Mechanics (cond-mat.stat-mech)
- Strongly Correlated Electrons (cond-mat.str-el)
- Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
- FOS: Physical sciences
- Condensed Matter - Statistical Mechanics
Details 詳細情報について
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- CRID
- 1870020693276794752
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- ISSN
- 10953795
- 01631829
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- Data Source
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- OpenAIRE