Hofstadter butterflies for flat bands

Abstract

Hofstadter's diagram, or the energy spectrum against the magnetic field in tight-binding systems, is obtained for the models having flat (dispersionless) one-electron band(s) that have originally been proposed for itinerant spin ferromagnetism. Magnetic fields preserve those flat bands that arise from a topological reason, while dispersions emerge in a singular manner for the flat bands arising from interference, implying an anomalous orbital magnetism.

9 pages, revtex, 4 figures available on request from [email protected]

References in corpus (1)

• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States

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