Quantum rings of non-uniform thickness in magnetic field

Rodríguez-Prada, F. A.; García, L. F.; Mikhailov, I. D.

doi:10.1063/1.4878283

Title: Quantum rings of non-uniform thickness in magnetic field

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Abstract

We consider a model of crater-shaped quantum dot in form of a thin layer whose thickness linearly increases with the distance from the axis. We show that one-particle wave equation for the electron confined in such structure can be completely separated in the adiabatic limit when the quantum dot thickness is much smaller than its lateral dimension. Analytical solutions found for this model has been used as base functions for analysing the effect of non-homogeneity on the electronic spectrum in the framework of the exact diagonalization method.

Authors:

Rodríguez-Prada, F. A.; García, L. F.; Mikhailov, I. D. ^[1]

Escuela de Física, Universidad Industrial de Santander, A. A. 678, Bucaramanga (Colombia)

Publication Date:: Thu May 15 00:00:00 EDT 2014

OSTI Identifier:: 22280323

Resource Type:: Journal Article

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1598; Journal Issue: 1; Conference: LDSD 2011: 7. international conference on low dimensional structures and devices, Telchac (Mexico), 22-27 May 2011; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

Country of Publication:: United States

Language:: English

Subject:: 77 NANOSCIENCE AND NANOTECHNOLOGY; ANALYTICAL SOLUTION; ELECTRON SPECTRA; ELECTRONS; MAGNETIC FIELDS; QUANTUM DOTS; THICKNESS; THIN FILMS; WAVE EQUATIONS

Citation Formats


                    Rodríguez-Prada, F. A., García, L. F., and Mikhailov, I. D. Quantum rings of non-uniform thickness in magnetic field.  United States: N. p., 2014. 
        Web.  doi:10.1063/1.4878283.

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                    Rodríguez-Prada, F. A., García, L. F., & Mikhailov, I. D. Quantum rings of non-uniform thickness in magnetic field.  United States.  https://doi.org/10.1063/1.4878283

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                    Rodríguez-Prada, F. A., García, L. F., and Mikhailov, I. D. 2014.  
        "Quantum rings of non-uniform thickness in magnetic field".  United States.  https://doi.org/10.1063/1.4878283.

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@article{osti_22280323,

  title        = {Quantum rings of non-uniform thickness in magnetic field},

  author       = {Rodríguez-Prada, F. A. and García, L. F. and Mikhailov, I. D.},

  abstractNote = {We consider a model of crater-shaped quantum dot in form of a thin layer whose thickness linearly increases with the distance from the axis. We show that one-particle wave equation for the electron confined in such structure can be completely separated in the adiabatic limit when the quantum dot thickness is much smaller than its lateral dimension. Analytical solutions found for this model has been used as base functions for analysing the effect of non-homogeneity on the electronic spectrum in the framework of the exact diagonalization method.},

  doi          = {10.1063/1.4878283},

  url          = {https://www.osti.gov/biblio/22280323},
  journal      = {AIP Conference Proceedings},

  issn         = {0094-243X},

  number       = 1,

  volume       = 1598,

  place        = {United States},

  year         = {Thu May 15 00:00:00 EDT 2014},

  month        = {Thu May 15 00:00:00 EDT 2014}

}

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