TY - JOUR
T1 - Singular behavior of eigenstates in Anderson's model of localization
AU - Johri, S.
AU - Bhatt, R. N.
PY - 2012/8/16
Y1 - 2012/8/16
N2 - We observe an apparent 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 uniform (box) distribution of on-site 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 wave functions-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.
AB - We observe an apparent 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 uniform (box) distribution of on-site 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 wave functions-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.
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U2 - 10.1103/PhysRevLett.109.076402
DO - 10.1103/PhysRevLett.109.076402
M3 - Article
C2 - 23006388
AN - SCOPUS:84865228552
SN - 0031-9007
VL - 109
JO - Physical review letters
JF - Physical review letters
IS - 7
M1 - 076402
ER -