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; Mellor Null, Alexander Virgil; Tobías Galicia, Ignacio; Antolín Fernández, Elisa; García-Linares Fontes, Pablo; Ramiro Gonzalez, Iñigo y 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.

Descripción

Título: 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
Autor/es:
  • Luque López, Antonio
  • Mellor Null, Alexander Virgil
  • Tobías Galicia, Ignacio
  • Antolín Fernández, Elisa
  • García-Linares Fontes, Pablo
  • Ramiro Gonzalez, Iñigo
  • Martí Vega, Antonio
Tipo de Documento: Artículo
Título de Revista/Publicación: Physica B: Condensed Matter
Fecha: Marzo 2013
Volumen: 413
Materias:
Palabras Clave Informales: Quantum dots; Energy spectrum; Modeling
Escuela: E.T.S.I. Telecomunicación (UPM)
Departamento: Electrónica Física
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 26833
Identificador DC: http://oa.upm.es/26833/
Identificador OAI: oai:oa.upm.es:26833
Identificador DOI: 10.1016/j.physb.2012.12.047
URL Oficial: http://www.sciencedirect.com/science/article/pii/S0921452612010988
Depositado por: Memoria Investigacion
Depositado el: 04 Jun 2014 19:26
Ultima Modificación: 01 Abr 2015 22:56
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