Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/137758
Title: MOMENTUM SIGNATURES OF THE ANDERSON TRANSITION
Authors: GHOSH SANJIB
Keywords: Coherent forward scattering, Coherent backscattering, Anderson metal insulator transition, Scaling theory, Multifractality, Momentum Space
Issue Date: 17-Aug-2017
Citation: GHOSH SANJIB (2017-08-17). MOMENTUM SIGNATURES OF THE ANDERSON TRANSITION. ScholarBank@NUS Repository.
Abstract: This thesis explores for possible signatures of Anderson localization and the Anderson metal-insulator transition (MIT) in momentum space. We find that an initial plane-wave propagating in a disordered medium exhibits a diffusive background and two interference peaks, the coherent backscattering (CBS) and the coherent forward scattering (CFS) peaks in the momentum distribution. We show, the signatures of Anderson localization and the Anderson transition are encoded in the dynamical properties of the two interference peaks, CBS and CFS. We develop finite-time scaling theory for the angular width of the CBS peak and in the height of the CFS peak. We demonstrate how to extract properties like critical exponent, the mobility edge and signatures of multifractality from this finite-time analysis. These momentum space signatures of the Anderson transition are novel and they promise to be experimental observables for wide range of systems, from cold atoms to classical waves or any wave systems where the momentum distribution is accessible.
URI: http://scholarbank.nus.edu.sg/handle/10635/137758
Appears in Collections:Ph.D Theses (Open)

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
GhoshS.PDF7.17 MBAdobe PDF

OPEN

NoneView/Download

Page view(s)

158
checked on Nov 22, 2018

Download(s)

82
checked on Nov 22, 2018

Google ScholarTM

Check


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