2025/05/03 by Máthé, Levente, Grosu, Ioan
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
paper · doi:10.48550/arxiv.2505.01835
We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction (∼ r-η). The charge carrier density deviation as a function of distance from the impurity is calculated within the linear response theory. Our results show that, in both a two-dimensional non-interacting electron gas and graphene, the phase of charge carrier density oscillations remains unaffected by the parameter η, which characterizes the non-Coulomb nature of the interaction, at large distances from the impurity. The parameter η influences only the amplitude of the oscillations in this regime. The results for an impurity modeled by Coulomb-like potential (η= 1) are recovered in both cases.