Anderson Localization In Disordered Systems With Competing Channels
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Anderson Localization in Disordered Systems with Competing Channels
Author: Hongyi Xie
language: en
Publisher: LAP Lambert Academic Publishing
Release Date: 2012
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.
50 Years of Anderson Localization
This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.
Lectures on the Physics of Strongly Correlated Systems XII
Author: Adolfo Avella
language: en
Publisher: American Institute of Physics
Release Date: 2008-06-05
The volume contains the lectures delivered at the XII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2007. The focus of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism (Independent spins and Weiss meanfield theory; Finite Heisenberg clusters; Linear spin-wave theory; Classical and quantum Monte Carlo; Entanglement in quantum spin systems); Nanomagnets and Entanglement (The Dynamical Mean Field and Cluster Approximations; Quantum Monte Carlo Algorithms for the Quantum Cluster Problem; Analytic Continuation of Quantum Monte Carlo Data); The Dynamical Cluster Approximation with Quantum Monte Carlo Cluster Solvers (Fermi liquids; Fermi-liquid instabilities at quantum phase transitions: theory; Fermi-liquid instabilities at quantum phase transitions: experiment; Metal-insulator transition in heavily doped semiconductors); Quantum phase transitions; Correlated thermoelectric (Phenomenological equations; Physical interpretation; Solution of transport equations; Linear response theory; Current operators; Mahan-Jonson theorem; Microscopic solution for transport coefficients).