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Graphene quantum dot with Maxwell fish eye potential energy profile is studied. A quasiclassical approximation is used given that potential energy is a slowly varying function of coordinates. Near the… Click to show full abstract
Graphene quantum dot with Maxwell fish eye potential energy profile is studied. A quasiclassical approximation is used given that potential energy is a slowly varying function of coordinates. Near the zero energy the spectrum of electron macroscopically degenerates. All the electron trajectories are closed circles that are classified by angular momentum and an additional integral of motion. Provided the complete filling of the lower Dirac zone, a universal value for Hall conductivity is found.
Keywords:
hall conductivity;
graphene;
fish eye;
maxwell fish;
quantum dot
Journal Title: Physica E: Low-dimensional Systems and Nanostructures
Year Published: 2021
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Journal Title: Physica E: Low-dimensional Systems and Nanostructures
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!