Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1998-11-06
Ann. Phys. [Leipzig] 7 [1998] 394
Physics
Condensed Matter
Disordered Systems and Neural Networks
6 pages, 4 eps figures, to appear in Proceedings PILS'98 in Ann. Physik Leipzig 1998
Scientific paper
10.1002/(SICI)1521-3889(199811)7
We investigate the behavior of the thermoelectric power [S] in disordered systems close to the Anderson-type metal-insulator transition [MIT] at low temperatures. In the literature, we find contradictory results for S. It is either argued to diverge or to remain a constant as the MIT is approached. To resolve this dilemma, we calculate the number density of electrons at the MIT in disordered systems using an averaged density of states obtained by diagonalizing the three-dimensional Anderson model of localization. From the number density we obtain the temperature dependence of the chemical potential necessary to solve for S. Without any additional approximation, we use the Chester-Thellung-Kubo-Greenwood formulation and numerically obtain the behavior of S at low T as the Anderson transition is approached from the metallic side. We show that indeed S does not diverge.
Roemer Rudolf A.
Villagonzalo Cristine
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