It is found from direct numerical calculations that the internal structure of wavefunctions in one-dimensional disordered systems does not display fractal behaviour. This result is in contrast with a recently suggested self-similar character of localised eigenstates. The same type of analysis proposed to show the existence of analogous features in wavefunctions for higher dimensionalities cannot, therefore, be considered conclusive. © 1986 The Institute of Physics.
Roman, H. (1986). Non-fractal features of wavefunctions in one-dimensional disordered systems. JOURNAL OF PHYSICS. C. SOLID STATE PHYSICS, 19(13), L285-L288 [10.1088/0022-3719/19/13/004].
Non-fractal features of wavefunctions in one-dimensional disordered systems
Roman H. E.
1986
Abstract
It is found from direct numerical calculations that the internal structure of wavefunctions in one-dimensional disordered systems does not display fractal behaviour. This result is in contrast with a recently suggested self-similar character of localised eigenstates. The same type of analysis proposed to show the existence of analogous features in wavefunctions for higher dimensionalities cannot, therefore, be considered conclusive. © 1986 The Institute of Physics.
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