Excitation gap in the fractional quantum Hall effect: Finite layer thickness corrections
Authors:
- 15 February 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (4) , 2903-2905
Abstract
Excitation energy for the ν=(1/3) fractional quantum Hall effect state is calculated by exact numerical diagonalization for a small number of electrons in the spherical geometry keeping the finite width of the quasi-two-dimensional layer in the calculation. It is found that for actual experimental systems finite layer thickness corrections reduce the excitation gap by as much as a factor of two, bringing experiment and theory much closer together. Calculated thickness effect also qualitatively explains the experimentally observed saturation in the activation energy at the highest magnetic fields.Keywords
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