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Journal of Physical Studies 5(2), 150–156 (2001)
DOI: https://doi.org/10.30970/jps.05.150 MAGNETIC FIELD INFLUENCE ON THE LOCALIZATION OF ELECTRONIC EXCITATION FOR TIGHT-BINDING MODEL WITH A DIAGONAL DISORDERO. M. Voznjak
The Precarpathian Vasyl Stefanyk University,
Chair of Solid State Physics, |
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The closed self-avoiding paths on the square lattice in a homogeneous magnetic field for the electrons with a diagonal disorder for 4-, 6-, 8-, 10-, 12-, 14-, 16-, 18 and 20 steps have been constructed using computer methods. The total number of diagrams with the fixed perimeter length and their squares have been calculated. The locator series for mass operator has been built on the basis of these data. The conditions of its convergency have been explored using the Pade-appoximation method. The localization phase diagrams for several values of the magnetic flux through unit cell have been constructed. It has been shown that the magnetic field leads to a decrease in the delocalization states both as regard critical energy and disorder strength.
PACS number(s): 72.10.-d, 72.20.-i, 71.30.+h