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Title: Bound states and threshold resonances in quantum wires with circular bends

Abstract

We study the solutions to the wave equation in a two-dimensional tube of unit width comprised of two straight regions connected by a region of constant curvature. We introduce a numerical method which permits high accuracy at high curvature. We determine the bound state energies as well as the transmission and reflection matrices {bold T} and {bold R} and focus on the nature of the resonances that occur in the vicinity of channel thresholds. We explore the dependence of these solutions on the curvature of the tube and angle of the bend and discuss several limiting cases where our numerical results confirm analytic predictions. {copyright} {ital 1996 The American Physical Society.}

Authors:
 [1];  [2]
  1. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
  2. Center for Theoretical Physics, Laboratory for Nuclear Science, Massachusetts Institute of Technology,Cambridge, Massachusetts 02139 (United States)
Publication Date:
OSTI Identifier:
383524
DOE Contract Number:  
FC02-94ER40818; FG02-92ER40702
Resource Type:
Journal Article
Journal Name:
Physical Review, B: Condensed Matter
Additional Journal Information:
Journal Volume: 54; Journal Issue: 8; Other Information: PBD: Aug 1996
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; BOUND STATE; TWO-DIMENSIONAL CALCULATIONS; RESONANCE SCATTERING; CIRCULAR CONFIGURATION; EIGENVALUES; BINDING ENERGY; CALCULATION METHODS; NUMERICAL SOLUTION; CONVERGENCE; QUANTUM WIRES

Citation Formats

Lin, K, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Jaffe, R L, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, and Lyman Physics Laboratory, Harvard University, Cambridge, Massachusetts 02138. Bound states and threshold resonances in quantum wires with circular bends. United States: N. p., 1996. Web. doi:10.1103/PhysRevB.54.5750.
Lin, K, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Jaffe, R L, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, & Lyman Physics Laboratory, Harvard University, Cambridge, Massachusetts 02138. Bound states and threshold resonances in quantum wires with circular bends. United States. doi:10.1103/PhysRevB.54.5750.
Lin, K, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, Jaffe, R L, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, and Lyman Physics Laboratory, Harvard University, Cambridge, Massachusetts 02138. Thu . "Bound states and threshold resonances in quantum wires with circular bends". United States. doi:10.1103/PhysRevB.54.5750.
@article{osti_383524,
title = {Bound states and threshold resonances in quantum wires with circular bends},
author = {Lin, K and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 and Jaffe, R L and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 and Lyman Physics Laboratory, Harvard University, Cambridge, Massachusetts 02138},
abstractNote = {We study the solutions to the wave equation in a two-dimensional tube of unit width comprised of two straight regions connected by a region of constant curvature. We introduce a numerical method which permits high accuracy at high curvature. We determine the bound state energies as well as the transmission and reflection matrices {bold T} and {bold R} and focus on the nature of the resonances that occur in the vicinity of channel thresholds. We explore the dependence of these solutions on the curvature of the tube and angle of the bend and discuss several limiting cases where our numerical results confirm analytic predictions. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevB.54.5750},
journal = {Physical Review, B: Condensed Matter},
number = 8,
volume = 54,
place = {United States},
year = {1996},
month = {8}
}