Schrödinger problem for hierarchical heterostructures

Year: 1987

Authors: Schneider T., Würtz D., Politi A., Zannetti M.

Autors Affiliation: IBM Research Division, Zurich Research Laboratory, 8803 Rüschlikon, Switzerland; Dipartimento di Fisica, Universita di Salerno, I-84100 Salerno, Italy

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

Journal/Review: PHYSICAL REVIEW B

Volume: 36 (3)      Pages from: 1789  to: 1792

KeyWords: hierarchical heterostructures
DOI: 10.1103/PhysRevB.36.1789

Citations: 29
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