The Hofstadter Diagram Analyzed in Terms of the Band Structure Parameters for a Planar Metal

T. Roliński and S. Olszewski Institute of Physical Chemistry of the Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland

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Received: 25 10 2005; in final form: 27 01 2006;

It is demonstrated that a wing of the Hofstadter diagram calculated for the tightly-bound s-electrons in the simple cubic lattice can be reproduced by the dispersion figure of the wave-vector square considered for the electron states of the same lattice, on the condition that the states having equal energies are taken into account. The dispersion splitting increases systematically with the distance of the states from the Brillouin zone center. A similar wing due to dispersion of the electron momentum is calculated also for the s-electron states in the body-centered cubic lattice.

DOI: 10.12693/APhysPolA.109.753 PACS numbers: 75.10.Lp, 75.70.-i