The special trans functions theory for Mott´s semiconductor conductivity equation

Author

Perovich, Slavica M. ; Calasan, Martin P.

Author_Institution

Dept. of Electr. Eng., Univ. of Montenegro, Podgorica, Montenegro

fYear

2013

fDate

1-4 July 2013

Firstpage

1873

Lastpage

1877

Abstract

The electrical conductivity in semiconductors vs. temperature (Mott´s equation) can be described by some nonlinear functional equations of the transcendental type. In this paper, the problem of finding the exact analytical closed-form solution for Mott´s equation is studied, in some detail, by the Special Trans Functions Theory - STFT. The numerical results and graphical presentations confirm validity of direct application of the STFT to the theoretical analysis electrical conductivity in semiconductors. Undoubtedly, proposed analytical STFT approach implies the qualitative improvement of the conventional methods.

Keywords

electrical conductivity; functional equations; graph theory; nonlinear equations; nonlinear functions; Mott´s semiconductor conductivity equation; analytical STFT approach; electrical conductivity analysis; exact analytical closed-form solution; graphical presentations; nonlinear functional equations; special transfunctions theory; Closed-form solutions; Conductivity; Equations; Materials; Mathematical model; Temperature distribution; Mott´s equation; STFT; analytical closed-form solution; conventional methods; electrical conductivity;

fLanguage

English

Publisher

ieee

Conference_Titel

EUROCON, 2013 IEEE

Conference_Location

Zagreb

Print_ISBN

978-1-4673-2230-0

Type

conf

DOI

10.1109/EUROCON.2013.6625233

Filename

6625233