2015/08/31 by Debabrata Sinha, Bertrand Berche
Materials Science · Physics and Astronomy · #Condensed matter physics #Electron #Graphene #Graphene research and applications #Magnetic field #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #Wave packet #cond-mat.mes-hall
paper · pdf · doi:10.1140/epjb/e2016-60907-y
published as Eur. Phys. J. B 89 (2016) 57
arxiv created 2015/08/31 · openalex publication_date 2016/02/29 · openalex created_date 2016/06/24 · arxiv updated 2017/11/03 · openalex updated_date 2026/08/05
We present analytical expressions for the eigenstates and eigenvalues of electrons confined in a graphene monolayer in the presence of a disclination. The calculations are performed in the continuum limit approximation in the vicinity of the Dirac points, solving Dirac equation by freezing out the carrier radial motion. We include the effect of an external magnetic field and show the appearence of Aharonov-Bohm oscillation and find out the conditions of gapped and gapless states in the spectrum. We show that the gauge field due to a disclination lifts the orbital degeneracy originating from the existence of two valleys. The broken valley degeneracy has a clear signature on quantum oscillations and wave packet dynamics.