Journal of Physical Studies 11(2), 210–214 (2007)
DOI: https://doi.org/10.30970/jps.11.210

ENERGY SPECTRUM AND DENSITY OF STATES FOR A DISORDERED TIGHT-BINDING MODEL WITH DISPLACEMENTS DISORDER

O. M. Voznyak

The Pre-Carpatian Vasyl Stefanyk University, Chair of Solid State Physics,
57 Shevchenko St., Ivano-Frankivsk, UA–76025, Ukraine

An equation for one-electron Green's function has been obtained and its solution has been found within the quadratic approximation for the atomic displacements from the sites of a regular crystal lattice. A calculation of the energy spectrum, its damping and density of states has been performed for a linear atomic chain. A relation of the characteristics of the band spectrum on the degree of disorder has been found.

PACS number(s): 71.23.-k, 73.21.-b

pdf