Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2011-06-06
Physics
Condensed Matter
Disordered Systems and Neural Networks
Correction to v1: Fig.3 caption now displayed
Scientific paper
We observe a singularity in the electronic properties of the Anderson Model of Localization with bounded diagonal disorder, which is clearly distinct from the well-established mobility edge (localization-delocalization transition) that occurs in dimensions $d>2$. We present results of numerical calculations for Anderson's original (box) distribution of onsite disorder in dimensions $d$ = 1, 2 and 3. To establish this hitherto unreported behavior, and to understand its evolution with disorder, we contrast the behavior of two different measures of the localization length of the electronic wavefunctions - the averaged inverse participation ratio and the Lyapunov exponent. Our data suggest that Anderson's model exhibits richer behavior than has been established so far.
Bhatt R. N.
Johri Sonika
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