Interaction of static charges in graphene

1st International Kaidalov Workshop on the Phenomenology of High Energy Particle Physics

Braguta, V.V.^1,2 ; Valgushev, S.N.^2,3 ; Nikolaev, A.A.^4 ; Polikarpov, M.I.^2,3 ; Ulybyshev, M.V.^2,5

Institute for High Energy Physics, Protvino

142281, Russia^1

Institute of Theoretical and Experimental Physics, Moscow

117218, Russia^2

Moscow Institute for Physics and Technology, Dolgoprudny

141700, Russia^3

School of Biomedicine, Far Eastern Federal University, Vladivostok

690950, Russia^4

Institute for Theoretical Problems of Microphysics, Moscow State University, Moscow

119899, Russia^5

关键词: Coulomb potential;    Debye screening;    Dielectric permittivities;    Interaction potentials;    Lattice gauge fields;    Low temperatures;    Quasi particles;    Two-dimensional plasma;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/607/1/012017/pdf
DOI  :  10.1088/1742-6596/607/1/012017

来源: IOP

【 摘 要 】

The study of the interaction potential between static charges within Monte-Carlo simulation of graphene is carried out. The numerical simulations are performed in the effective lattice field theory with noncompact 3 + 1-dimensional Abelian lattice gauge fields and 2 + 1-dimensional staggered lattice fermions. At low temperature the interaction can be described by the Coulomb potential reduced by some dielectric permittivityR. The dependence ofRon the dielectric permittivity of substrate is determined. In addition, the renormalization of the quasiparticle charge is studied. At large temperatures the interaction potential can be described by the two-dimensional Debye screening. The dependence of Debye screening mass on the dielectric permittivity of substrate allows to determine the position of the insulator-semimetal phase transition. It is shown that graphene reveals in the semimetal phase the properties of the two-dimensional plasma of fermions excitations.