Journal article

Publication year: 2004

Journal: Physical Review B

Volume number: 70

Issue number: 17

ISSN: 2469-9950

eISSN: 2469-9969

Open access status: Green

DOI Link: https://doi.org/10.1103/PhysRevB.70.174201

Publisher: American Physical Society

Abstract: 
We study the localization volumes V ( participation ratio) of electronic wave functions in the 2d-Anderson model with diagonal disorder. Using a renormalization procedure, we show that at the band edges, i.e., for energies Eapproximate to +/- 4, V is inversely proportional to the variance [epsilon(2)] of the site potentials. Using scaling arguments, we show that in the neighborhood of E= +/- 4, V scales as V= [epsilon(2)](-1)g((4- \E\)/[epsilon(2)]) with the scaling function g(x). Numerical simulations confirm this scaling ansatz.

Harvard Citation style: Russ, S. (2004) Renormalization approach for the two-dimensional Anderson model at the band edge: Scaling of the localization volume, Physical Review B, 70(17), Article 174201. https://doi.org/10.1103/PhysRevB.70.174201

APA Citation style: Russ, S. (2004). Renormalization approach for the two-dimensional Anderson model at the band edge: Scaling of the localization volume. Physical Review B. 70(17), Article 174201. https://doi.org/10.1103/PhysRevB.70.174201