QUANTUM PARTICLE IN A RANDOM POTENTIAL - EXACT SOLUTION AND ITS IMPLICATIONS

被引:29
作者
AZBEL, MY
机构
[1] Raymond and Beverly Sackler Faculty of Exact Sciences, School of Physics and Astronomy, Tel Aviv University, Ramat Aviv
来源
PHYSICAL REVIEW B | 1992年 / 45卷 / 08期
关键词
D O I
10.1103/PhysRevB.45.4208
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
I accurately solve the Schrodinger equation in a magnetic field B in an arbitrary set of two-dimensional point potentials. When B = 0, they yield a mobility edge. When B not-equal 0, all states are localized below a certain energy E(c)(B). Above E(c)(B), they are extended at the Landau energies. At other energies the localization length is a discontinuous function of B at every rational value of eBd2/ch, where d is an average interpotential distance.
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页码:4208 / 4216
页数:9
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