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Paper detail

Universal Hall conductivity in graphene Maxwell fish-eye quantum dot

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.

preprint2022arXivOpen access
Zhyrair Gevorkian
cond-mat.mes-hallphysics.optics
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Zhyrair Gevorkian

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