Virtual-bound, filamentary and layered states in a box-shaped quantum dot of square potential form the exact numerical solution of the effective mass Schrodinger equation

Luque López, Antonio and Mellor Null, Alexander Virgil and Tobías Galicia, Ignacio and Antolín Fernández, Elisa and García-Linares Fontes, Pablo and Ramiro Gonzalez, Iñigo and Martí Vega, Antonio (2013). Virtual-bound, filamentary and layered states in a box-shaped quantum dot of square potential form the exact numerical solution of the effective mass Schrodinger equation. "Physica B: Condensed Matter", v. 413 ; pp. 73-81. ISSN 0921-4526. https://doi.org/10.1016/j.physb.2012.12.047.

Description

Title: Virtual-bound, filamentary and layered states in a box-shaped quantum dot of square potential form the exact numerical solution of the effective mass Schrodinger equation
Author/s:
  • Luque López, Antonio
  • Mellor Null, Alexander Virgil
  • Tobías Galicia, Ignacio
  • Antolín Fernández, Elisa
  • García-Linares Fontes, Pablo
  • Ramiro Gonzalez, Iñigo
  • Martí Vega, Antonio
Item Type: Article
Título de Revista/Publicación: Physica B: Condensed Matter
Date: March 2013
Volume: 413
Subjects:
Freetext Keywords: Quantum dots; Energy spectrum; Modeling
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Electrónica Física
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The effective mass Schrodinger equation of a QD of parallelepipedic shape with a square potential well is solved by diagonalizing the exact Hamiltonian matrix developed in a basis of separation-of-variables wavefunctions. The expected below bandgap bound states are found not to differ very much from the former approximate calculations. In addition, the presence of bound states within the conduction band is confirmed. Furthermore, filamentary states bounded in two dimensions and extended in one dimension and layered states with only one dimension bounded, all within the conduction band which are similar to those originated in quantum wires and quantum wells coexist with the ordinary continuum spectrum of plane waves. All these subtleties are absent in spherically shaped quantum dots, often used for modeling.

More information

Item ID: 26833
DC Identifier: http://oa.upm.es/26833/
OAI Identifier: oai:oa.upm.es:26833
DOI: 10.1016/j.physb.2012.12.047
Official URL: http://www.sciencedirect.com/science/article/pii/S0921452612010988
Deposited by: Memoria Investigacion
Deposited on: 04 Jun 2014 19:26
Last Modified: 01 Apr 2015 22:56
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