Emergence of a confined state in a weakly bent wire

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Abstract

In this paper we use a simple straightforward technique to investigate the emergence of a bound state in a weakly bent wire. We show that the bend behaves like an infinitely shallow potential well, and in the limit of small bending angle (φ≪1) and low energy-the bend can be presented by a simple one-dimensional δ-function potential, V(x)=-(2√cbφ2)δ(x) where cb≅2.1.

Original languageEnglish
Pages (from-to)233101-1-233101-4
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume65
Issue number23
StatePublished - 2002
Externally publishedYes

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