TY - JOUR
T1 - The scaling theory and the minimum metallic conductivity
AU - Kaveh, M.
AU - Mott, N. F.
PY - 1983/2
Y1 - 1983/2
N2 - The scaling theory of conduction in non-crystalline solids is examined, particularly with regard to its conclusion that the conductivity of a metal tends continuously to zero at a mobility edge. Limiting ourselves to the theory of non-interacting electrons, we present certain arguments against this result. A new suggestion which we introduce is that the value (gc) for which the scaling function β(g) vanishes does not correspond to the mobility edge at which Anderson localization sets in, but to a new phenomenon which may be observed in certain cases. A possible weakness in the scaling theory is pointed out.
AB - The scaling theory of conduction in non-crystalline solids is examined, particularly with regard to its conclusion that the conductivity of a metal tends continuously to zero at a mobility edge. Limiting ourselves to the theory of non-interacting electrons, we present certain arguments against this result. A new suggestion which we introduce is that the value (gc) for which the scaling function β(g) vanishes does not correspond to the mobility edge at which Anderson localization sets in, but to a new phenomenon which may be observed in certain cases. A possible weakness in the scaling theory is pointed out.
UR - https://www.scopus.com/pages/publications/0020707520
U2 - 10.1080/13642812.1983.9728436
DO - 10.1080/13642812.1983.9728436
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AN - SCOPUS:0020707520
SN - 1364-2812
VL - 47
SP - 9
EP - 15
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
IS - 2
ER -