2021/11/30 by Zhyrair Gevorkian
Materials Science · Physics and Astronomy · #Angular momentum #Classical mechanics #Condensed matter physics #Conductivity #Dirac (video compression format) #Electron #Function (biology) #Graphene #Graphene research and applications #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1016/j.physe.2021.115103
published in Physica E Low-dimensional Systems and Nanostructures 138, 115103 (Elsevier BV)
openalex publication_date 2021/12/21 · arxiv created 2022/01/11 · arxiv updated 2022/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.