Band structures in one-dimensional binary alloys with self-similar atomic configurations

Takashi Nagatani
Phys. Rev. B 32, 2049 – Published 15 August 1985
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Abstract

The one-dimensional self-similar A1xBx alloys are presented to study electron properties of binary alloys intermediate between periodicity and randomness. The systems studied are represented by tight-binding Hamiltonians with self-similar diagonal potentials with self-similar atomic configurations. The Hamiltonian is exactly renormalized with the use of a decimation technique. Band structures and densities of states are calculated by recursion relations. It is shown that each band of the alloy with (m1,m2,...,mN) periods breaks up into m subbands when N becomes N+1 where m,N are integers. As N→∞, the density of states approaches a limit with an infinite number of very narrow bands which have self-similar structures, the total bandwidth goes to zero and all states are localized.

  • Received 1 April 1985

DOI:https://doi.org/10.1103/PhysRevB.32.2049

©1985 American Physical Society

Authors & Affiliations

Takashi Nagatani

  • College of Engineering, Shizuoka University, Hamamatsu 432, Japan

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Issue

Vol. 32, Iss. 4 — 15 August 1985

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