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Coarse-Grained Quantities and Local Environment Effects in Disordered Systems II: A Refined Effective Distance
Coarse-Grained Quantities and Local Environment Effects in Disordered Systems II: A Refined Effective Distance
Goda, Masaki
37738
Existence of a refined effective "distance" m^^-(ε+iΓ) (ε; energy, Γ; degree of coarse-graining) is conjectured in infinite systems to measure, more precisely than the effective "distance" m^^-(E)(E = ε+iΓ) does, the contribution of local environment around the sites l and l′to the Green function G_<l,l'>(E). The effective "distance"m^^-(E) is numerically observed in some simple finite sample systems of 1-, 2- and 3-dimension. If the quantity 2m^^-(E) exists, it is expected to be an analytic continuation of the localization length l(ε) on the upper half of the complex energy plane.
journal article
Progress of Theoretical Physics
1985-11
application/pdf
Progress of theoretical physics
5
74
958
970
Progress of theoretical physics
AA00791455
13474081
https://niigata-u.repo.nii.ac.jp/record/2550/files/PTP74(1985)5.pdf
eng
info:doi/10.1143/PTP.74.958