Abstract

Numerical studies on the one-dimensional lattice with incommensurate potentials En=1.9(cos(0.7n)+1/3cos(1.4n)) are performed. Fine structures of electronic density of states are shown. Mobility edges with precise positions are found and the nature of the eigenstates is discussed. From the eigenfunctions calculation, the authors also reveal that the 'resonant states' evolve to extended states gradually as the energy increases from the bottom of the spectrum.

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