Eur. Phys. J. B (2016) 89: 234
https://doi.org/10.1140/epjb/e2016-70452-4

Regular Article

Thermal smearing and screening in a strong magnetic field for Dirac materials in comparison with the two dimensional electron liquid

¹ Department of Physics, Hunter College of City University of New York, 695 Park Avenue, 10065 New York, USA
² Donostia International Physics Center, P. Manuel de Lardizabal 4, 20018 San Sebastian, Spain
³ Department of Physics & Engineering Physics, Fordham University, 10458 Bronx, USA
⁴ Department of Physics, Clarkson University, Potsdam, 13699-5820 New York, USA

^a e-mail: balassis@fordham.edu

Received: 24 July 2016
Received in final form: 31 August 2016
Published online: 26 October 2016

Abstract

We compute and compare the effects due to a uniform perpendicular magnetic field as well as temperature on the static polarization functions for monolayer graphene (MLG), associated with the Dirac point, with that for the two-dimensional electron liquid (2DEL) with the use of comprehensive numerical calculations. The relevance of our study to the Friedel oscillations for the screening of the potential for a dilute distribution of impurities is reported too. Our results show substantial differences due to screening for the 2DEL and MLG which have not been given adequate attention previously.