Transmission coefficient from generalized Cantor-like potentials and its multifractality

Taichi Ogawana; Hidetsugu Sakaguchi

doi:10.1103/PhysRevE.97.012205

Transmission coefficient from generalized Cantor-like potentials and its multifractality

Taichi Ogawana, Hidetsugu Sakaguchi

Electrical Engineering Sciences

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

We study the scattering problem at generalized Cantor-like potentials characterized by the expansion rate a and duplication number N, and derive an exact formula of transmittance. It was found that the transmittance is expressed with Chebyshev polynomials of the second kind, and the multifractality of the reflectance varies depending on a and N.

Original language	English
Article number	012205
Journal	Physical Review E
Volume	97
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.97.012205
Publication status	Published - Jan 12 2018

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All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

Cite this

Ogawana, T., & Sakaguchi, H. (2018). Transmission coefficient from generalized Cantor-like potentials and its multifractality. Physical Review E, 97(1), [012205]. https://doi.org/10.1103/PhysRevE.97.012205

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Access to Document

10.1103/PhysRevE.97.012205