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Paper
Schrödinger problem for hierarchical heterostructures
Abstract
A tight-binding model in one dimension with heirarchical potential strength is investigated. The problem is reduced to recursion relations for characteristic polynomials, for a renormalization-group transformation, and for traces of transfer matrices. On this basis, we elucidate the energy spectrum, the nature of the wave functions, and the resistance. © 1987 The American Physical Society.