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Anderson localization in disordered systems with competing channels: Who wins, the fast or the slow? - Softcover
Synopsis
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.
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About the Author
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.
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Anderson localization in disordered systems with competing channels
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LAP LAMBERT Academic Publishing Dez 2012, 2012
ISBN 10: 3659312894
ISBN 13: 9783659312892
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 208 pp. Englisch. Seller Inventory # 9783659312892
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Anderson localization in disordered systems with competing channels
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LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659312894
ISBN 13: 9783659312892
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Xie HongyiDr. 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 . Seller Inventory # 5147773
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Anderson localization in disordered systems with competing channels
Published by
LAP LAMBERT Academic Publishing Dez 2012, 2012
ISBN 10: 3659312894
ISBN 13: 9783659312892
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Taschenbuch. Condition: Neu. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 208 pp. Englisch. Seller Inventory # 9783659312892
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Anderson localization in disordered systems with competing channels : Who wins, the fast or the slow?
Published by
LAP LAMBERT Academic Publishing, 2012
ISBN 10: 3659312894
ISBN 13: 9783659312892
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Taschenbuch
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Seller Inventory # 9783659312892
Quantity: 1 available
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Anderson localization in disordered systems with competing channels: Who wins, the fast or the slow
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ISBN 10: 3659312894
ISBN 13: 9783659312892
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