The University of Dublin | Trinity College -- Ollscoil Átha Cliath | Coláiste na Tríonóide
Trinity's Access to Research Archive
Home :: Log In :: Submit :: Alerts ::

TARA >
School of Physics >
Physics >
Physics (Scholarly Publications) >

Please use this identifier to cite or link to this item: http://hdl.handle.net/2262/41094

Title: Numerical study of conductivity for the Anderson model in two and three dimensions
Author: WEAIRE, DENIS LAWRENCE
Author's Homepage: http://people.tcd.ie/dweaire
Keywords: threefold vertices
Issue Date: 1981
Citation: Kramer, B., MacKinnon, A., Weaire, D., Numerical study of conductivity for the Anderson model in two and three dimensions, Physical Review B, 23, 12, 1981, 6357-6370
Series/Report no.: Physical Review B
23
12
Abstract: The equation-of-motion method is applied to the calculation of the conductivity for the Anderson model in two and three dimensions. The Kubo-Greenwood formula is evaluated by averaging suitable combinations of time-dependent states and extrapolating to the limit of infinite time. In agreement with earlier work we have found the critical value of the disorder parameter for a transition from localized to extended states to be WV=6 for the square lattice and WV=15 for the simple cubic lattice. No conclusion about the critical behavior of the conductivity near the Anderson transition was drawn because of rather large scatter in the data. The reasons for this scatter are discussed. It is concluded that statistically satisfactory information about the critical behavior of the conductivity can only be obtained from a numerical calculation for systems containing more than 105 sites in any dimension
Description: PUBLISHED
URI: http://hdl.handle.net/2262/41094
Related links: http://dx.doi.org/10.1103/PhysRevB.23.6357
Appears in Collections:Physics (Scholarly Publications)

Files in This Item:

File Description SizeFormat
Numerical study.pdfPublished (publisher's copy) - Peer Reviewed1.88 MBAdobe PDFView/Open


This item is protected by original copyright


Please note: There is a known bug in some browsers that causes an error when a user tries to view large pdf file within the browser window. If you receive the message "The file is damaged and could not be repaired", please try one of the solutions linked below based on the browser you are using.

Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback