Berlin 2012 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 45: Correlated Electrons: Poster Session
TT 45.36: Poster
Thursday, March 29, 2012, 15:00–19:00, Poster B
Finite size scaling of the typical density of states using the kernel polynomial method — •Daniel Jung1, Gerd Czycholl2, and Stefan Kettemann1,3 — 1School of Engineering and Science, Jacobs University Bremen gGmbH, Campus Ring 1, 28759 Bremen, Germany — 2Institute for Theoretical Physics, University of Bremen, Otto-Hahn-Allee 1, 28359 Bremen, Germany — 3Division of Advanced Materials Science, Pohang University of Science and Technology (POSTECH), San 31, Hyoja-dong, Nam-gu, Pohang 790-784, South Korea
We study the metal-insulator transition (MIT) in effective tight binding models (ETBM) by looking at the scaling behaviour of the typical density of states (GDOS) which we obtain by taking the geometrical mean of the local density of states (LDOS) of many different lattice sites and realizations of disorder. The LDOS can be performantly calculated by means of the kernel polynomial method (KPM). Right now we focus on applying this method to the "standard" Anderson model of disorder to check our own implementation and methodical approach and to validate preceding results by others.