Ukrainian Journal of Physical Optics 

Number  2, Volume 5,  2004

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Electronic Bands Behaviour at Sinusoidal Potential Presence of Incommensurate Crystals 
1Vlokh R., 1Vlokh O., 2Lukiyanets B.

In1Institute of Physical Optics, 23 Dragomanov St., 79005 L'viv, Ukraine
2National University "Lvivska Politekhnika”, 12 S.Bandera Str., 79013 L'viv, Ukraine

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On the basis of solving the Schrodinger and Mathieu equations, for the case of crystal field perturbed by one-dimensional sinusoidal potential of the modulated phase in uniaxial ferroelectrics, it has been shown that the positions of electronic levels are sensitive to the ratio of periods of the crystal field and the perturbation potential. Considering the energy states as prototypes of bands normalized by perturbation, one can come to the conclusion that the level of the states is the same as in the initial lattice, when the commensurate perturbation period is doubled. Incommensurate changes in the modulation parameter are shown to lead to modification of the distance between the energy levels or bands.

Key words: incommensurate structures, electronic spectra
PACS: 64.70.Rh, 79.20.-m

doi 10.3116/16091833/5/2/46/2004
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