Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions

Yuri Vorobiev; Vítor Vieira; Pedro Ribeiro; Valentina Gorley; Paul Horley; Jesús González-Hernández; Tetyana Torchynska

Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions

Título traducido de la contribución: Espectros de energía de un electrón en un punto cuántico en forma de pirámide en aproximación de masa efectiva con condiciones de contorno de espejo uniforme

Yuri Vorobiev, Vítor Vieira, Pedro Ribeiro, Valentina Gorley, Paul Horley, Jesús González-Hernández, Tetyana Torchynska

Escuela Superior de Física y Matemáticas (ESFM)

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

3 Citas (Scopus)

Resumen

We study the problem of an electron confined in a semiconductor quantum dot shaped as a squarebase pyramid, assuming specular reflection of a particle from quantum dot boundaries. The application of boundary condition equals the wave function in an arbitrary point inside the dot with its image formed in the walls, allowing to find wave the functions and energy spectra of the particle. The comparison of the resulting energies with published experimental data shows reasonable agreement between the theory and the experiment.

Título traducido de la contribución	Espectros de energía de un electrón en un punto cuántico en forma de pirámide en aproximación de masa efectiva con condiciones de contorno de espejo uniforme
Idioma original	Inglés
Título de la publicación alojada	10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11
Páginas	127-131
Número de páginas	5
Estado	Publicada - 2011
Evento	10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11 - Cambridge, Reino Unido Duración: 20 feb. 2011 → 22 feb. 2011

Serie de la publicación

Nombre	10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11

Conferencia

Conferencia	10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11
País/Territorio	Reino Unido
Ciudad	Cambridge
Período	20/02/11 → 22/02/11

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Vorobiev, Y., Vieira, V., Ribeiro, P., Gorley, V., Horley, P., González-Hernández, J., & Torchynska, T. (2011). Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions. En 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11 (pp. 127-131). (10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11).

Vorobiev, Yuri ; Vieira, Vítor ; Ribeiro, Pedro et al. / Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions. 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11. 2011. pp. 127-131 (10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11).

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abstract = "We study the problem of an electron confined in a semiconductor quantum dot shaped as a squarebase pyramid, assuming specular reflection of a particle from quantum dot boundaries. The application of boundary condition equals the wave function in an arbitrary point inside the dot with its image formed in the walls, allowing to find wave the functions and energy spectra of the particle. The comparison of the resulting energies with published experimental data shows reasonable agreement between the theory and the experiment.",

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author = "Yuri Vorobiev and V{\'i}tor Vieira and Pedro Ribeiro and Valentina Gorley and Paul Horley and Jes{\'u}s Gonz{\'a}lez-Hern{\'a}ndez and Tetyana Torchynska",

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Vorobiev, Y, Vieira, V, Ribeiro, P, Gorley, V, Horley, P, González-Hernández, J & Torchynska, T 2011, Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions. En 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11. 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11, pp. 127-131, 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11, Cambridge, Reino Unido, 20/02/11.

Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions. / Vorobiev, Yuri; Vieira, Vítor; Ribeiro, Pedro et al.
10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11. 2011. p. 127-131 (10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

TY - GEN

T1 - Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions

AU - Vorobiev, Yuri

AU - Vieira, Vítor

AU - Ribeiro, Pedro

AU - Gorley, Valentina

AU - Horley, Paul

AU - González-Hernández, Jesús

AU - Torchynska, Tetyana

PY - 2011

Y1 - 2011

N2 - We study the problem of an electron confined in a semiconductor quantum dot shaped as a squarebase pyramid, assuming specular reflection of a particle from quantum dot boundaries. The application of boundary condition equals the wave function in an arbitrary point inside the dot with its image formed in the walls, allowing to find wave the functions and energy spectra of the particle. The comparison of the resulting energies with published experimental data shows reasonable agreement between the theory and the experiment.

AB - We study the problem of an electron confined in a semiconductor quantum dot shaped as a squarebase pyramid, assuming specular reflection of a particle from quantum dot boundaries. The application of boundary condition equals the wave function in an arbitrary point inside the dot with its image formed in the walls, allowing to find wave the functions and energy spectra of the particle. The comparison of the resulting energies with published experimental data shows reasonable agreement between the theory and the experiment.

KW - Mirror boundary conditions

KW - Pyramid

KW - Quantum dot

KW - Schrödinger equation

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M3 - Contribución a la conferencia

AN - SCOPUS:79958721705

SN - 9789604742769

T3 - 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11

SP - 127

EP - 131

BT - 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11

T2 - 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11

Y2 - 20 February 2011 through 22 February 2011

ER -

Vorobiev Y, Vieira V, Ribeiro P, Gorley V, Horley P, González-Hernández J et al. Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions. En 10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology,Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int. Conf. on IPLAFUN'11. 2011. p. 127-131. (10th WSEAS International Conference on EHAC'11 and ISPRA'11, 3rd WSEAS Int. Conf. on Nanotechnology, Nanotechnology'11, 6th WSEAS Int. Conf. on ICOAA'11, 2nd WSEAS Int.Conf. on IPLAFUN'11).

Energy spectra of an electron in a pyramid-shaped quantum dot in effective mass approximation with even mirror boundary conditions

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