• DocumentCode
    2589459
  • Title

    Electron standing wave resonances in 2-D quantum well and fractional quantum Hall effect

  • Author

    Pogrebnyak, Viktor A.

  • Author_Institution
    Inst. of Radiophys. & Electron., Acad. of Sci., Kharkov, Ukraine
  • Volume
    2
  • fYear
    1998
  • fDate
    2-5 Jun 1998
  • Firstpage
    719
  • Abstract
    We report a theoretical investigation of electron states in an infinitely deep quantum potential well, in which one of the walls has a one-dimensional periodically irregular boundary. It is shown that (1) forbidden gaps in the electron spectrum appear due to standing wave resonances; (2) the fractional quantum Hall effect is explained in the framework of the integer quantum Hall effect theory
  • Keywords
    energy gap; interface states; quantum Hall effect; semiconductor quantum wells; 2D quantum well; electron spectrum; electron standing wave resonances; electron states; forbidden gaps; fractional quantum Hall effect; infinitely deep quantum potential well; integer quantum Hall effect theory; one-dimensional periodically irregular boundary; Boundary conditions; Dispersion; Eigenvalues and eigenfunctions; Electromagnetic analysis; Electrons; Hall effect; Potential well; Quantum mechanics; Resonance; Schrodinger equation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
  • Conference_Location
    Kharkov
  • Print_ISBN
    0-7803-4360-3
  • Type

    conf

  • DOI
    10.1109/MMET.1998.709869
  • Filename
    709869