Abstract
In this paper the interaction potential between static charges in suspended graphene is studied within the quantum Monte Carlo approach. We calculated the dielectric permittivity of suspended graphene for a set of temperatures and extrapolated our results to zero temperature. The dielectric permittivity at zero temperature is found to have the following properties. At zero distance epsilon = 2.24 ...
Abstract
In this paper the interaction potential between static charges in suspended graphene is studied within the quantum Monte Carlo approach. We calculated the dielectric permittivity of suspended graphene for a set of temperatures and extrapolated our results to zero temperature. The dielectric permittivity at zero temperature is found to have the following properties. At zero distance epsilon = 2.24 +/- 0.02. Then it rises and at a large distance the dielectric permittivity reaches the plateau epsilon similar or equal to 4.20 +/- 0.66. The results obtained in this paper allow us to draw a conclusion that full account of many-body effects in the dielectric permittivity of suspended graphene gives e very close to the one-loop results. Contrary to the one-loop result, the two-loop prediction for the dielectric permittivity deviates from our result. So one can expect large higher order corrections to the two-loop prediction for the dielectric permittivity of suspended graphene.
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