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
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-4360-3
DOI :
10.1109/MMET.1998.709869
