Anderson localization with self-avoiding walk representation

Anderson localization with self-avoiding walk representation

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The Green’s function contains much information about physical systems. Mathematically, the fractional moment method (FMM) developed by Aizenman and Molchanov connects the Green’s function and the transport of electrons in the Anderson model. Recently, it has been discovered that the Green’s functio...

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Main Author: Suzuki, Fumika
Language:English
Published: University of British Columbia 2012
Online Access:http://hdl.handle.net/2429/43096
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-430962014-03-26T03:38:52Z Anderson localization with self-avoiding walk representation Suzuki, Fumika The Green’s function contains much information about physical systems. Mathematically, the fractional moment method (FMM) developed by Aizenman and Molchanov connects the Green’s function and the transport of electrons in the Anderson model. Recently, it has been discovered that the Green’s function on a graph can be represented using self-avoiding walks on a graph, which allows us to connect localization properties in the system and graph properties. We discuss FMM in terms of the self-avoiding walks on a general graph with a small number of assumptions. 2012-08-30T16:14:20Z 2012-08-30T16:14:20Z 2012 2012-08-30 2012-11 Electronic Thesis or Dissertation http://hdl.handle.net/2429/43096 eng University of British Columbia
collection NDLTD
language English
sources NDLTD
description The Green’s function contains much information about physical systems. Mathematically, the fractional moment method (FMM) developed by Aizenman and Molchanov connects the Green’s function and the transport of electrons in the Anderson model. Recently, it has been discovered that the Green’s function on a graph can be represented using self-avoiding walks on a graph, which allows us to connect localization properties in the system and graph properties. We discuss FMM in terms of the self-avoiding walks on a general graph with a small number of assumptions.
author Suzuki, Fumika
spellingShingle Suzuki, Fumika
Anderson localization with self-avoiding walk representation
author_facet Suzuki, Fumika
author_sort Suzuki, Fumika
title Anderson localization with self-avoiding walk representation
title_short Anderson localization with self-avoiding walk representation
title_full Anderson localization with self-avoiding walk representation
title_fullStr Anderson localization with self-avoiding walk representation
title_full_unstemmed Anderson localization with self-avoiding walk representation
title_sort anderson localization with self-avoiding walk representation
publisher University of British Columbia
publishDate 2012
url http://hdl.handle.net/2429/43096
work_keys_str_mv AT suzukifumika andersonlocalizationwithselfavoidingwalkrepresentation
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