Anderson localization in disordered systems with competing channels

ISBN-13: 9783659312892 / Angielski / Miękka / 2012 / 208 str.

Xie Hongyi

Opis

The problem of localization of interacting particles leads me to consider the question of competition between alternative propagation channels, which can be studied in great detail in the form of a single particle problem with two parallel, parametrically different, coupled channels. One could ask what happens to the localization properties when a less localized lattice is coupled to a more localized one? Will the less localized one dominate the localization of the system or the more localized? The qualitative answer to this question depends on the dimensionality of the system. Correspondingly, I exactly solved the Anderson models on a two-leg ladder and on a two-layer Bethe lattice. In one dimension, in the weak disorder limit the localization lengths of two coupled chains are of the order of the localization length of the more localized chain under resonance conditions. On the Bethe lattices, the less disordered lattice is not affected much by the more disordered lattice in the presence of coupling. These trends are believed to be persistent in high dimensions.

O autorze

Dr. Hongyi Xie is a postdoctoral fellow in ICTP, Trieste. He was born on Jan. 29th, 1983 in Zibo, China and received his Ph.D. in Theoretical Condensed Matter Physics from SISSA, Trieste in 2012. He is currently interested in the theory of disordered and strongly correlated quantum systems.