Occurrence probability and conductance contribution of necklace states: in support of a new scenario of Anderson phase transition

Details Occurrence probability and conductance contribution of necklace states: in support of a new scenario of Anderson phase transition Occurrence probability and conductance contribution of necklace states: in support of a new scenario of Anderson phase transition

May 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011njph...13e3046c&link_type=abstract

New Journal of Physics, Volume 13, Issue 5, pp. 053046 (2011).

Physics

2

Scientific paper

The occurrence probability Pn of necklace states (NS) and the logarithm-conductance distribution Pln G in one-dimensional random configurations are investigated. Theoretically and numerically, we find that both Pn and Pln G do not follow 'single parameter scaling' theory generally, since they depend on localization length ξ even with the same L/ξ, where L is system length. Based on theoretical Pn, our prediction of the behavior of typical conductance, dominated by NS, agrees very well with numerical results. Our theoretical and numerical results support the critical role of NS in Anderson phase transition.

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