Relaxational Fractons in Hopping Conduction on Fractal Lattice
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概要
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On the basis of the relaxation mode theory, the hopping conduction on fractal Rat-tices is investigated by the direct use of a set of eigenvalues and eigenstates for therelaxational fractons, where the reIaxationaJ fracton is a hopping version of the vibra-tional fracton. The obtained conductivity formula gives us full information over allthe frequency and temperature range. Especially at a frequency and temperaturerange, its frequency-dependence is identical to the result derived by Alenxander andOrbach for fractal and percolation lattices. This scheme of dealing with the relaxa-tional fractons is quite useful for the study of dynamical properties in the hoppingconduction: the quasi-elastic light scattering and ultrasonic attenuation are also dis-cussed on the same ground.
- 社団法人日本物理学会の論文
- 1992-03-15
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