2016/10/29 by Cleverson Filgueiras, Rosinildo Fidelis, Filgueiras, Cleverson +6
Materials Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Spectral Theory in Mathematical Physics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.48550/arxiv.1610.09515
7 pages and 7 figures
arxiv created 2016/10/29 · openalex publication_date 2016/10/29 · arxiv updated 2016/11/01 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
The effect of an Aharonov-Bohm (AB) pseudo magnetic field on a two dimensional electron gas in graphene is investigated. We consider it modeled as in the usual AB effect but since such pseudo field is supposed to be induced by elastic deformations, the quantization of the field flux is abandoned. For certain constraints on the orbital angular momentum eigenvalues allowed for the system, we can observe the zero Landau level failing to develop, due to the degeneracy related to the Dirac valleys K and K^′ which is broken. For integer values of the pseudo AB flux, the actual quantum Hall effect is preserved. Obtaining the Hall conductivity by summing over all orbital angular momentum eigenvalues, the zero Landau levels is recovered. Since our problem is closed related to the case where topological defects on a graphene sheet are present, the questions posed here are helpful if one is interested to probe the effects of a singular curvature in these systems.