Quantum Monte Carlo study of electrostatic potential in graphene
| Autor: | V. V. Braguta, A. A. Nikolaev, Mikhail I. Katsnelson, M. V. Ulybyshev, N. Yu. Astrakhantsev |
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| Rok vydání: | 2018 |
| Předmět: |
GRAPHENE
Theory of Condensed Matter Quantum Monte Carlo Dielectric permittivity Physics::Optics PERMITTIVITY 02 engineering and technology Plateau (mathematics) 01 natural sciences ELECTROSTATIC POTENTIALS law.invention Condensed Matter::Materials Science QUANTUM MONTE CARLO ZERO TEMPERATURES law QUANTUM MONTE CARLO STUDIES Quantum mechanics 0103 physical sciences SUSPENDED GRAPHENE 010306 general physics Physics Condensed matter physics Graphene Zero (complex analysis) Order (ring theory) MONTE CARLO METHODS 021001 nanoscience & nanotechnology INTERACTION POTENTIALS DIELECTRIC PERMITTIVITIES Static Charges MANY-BODY EFFECT Zero temperature 0210 nano-technology |
| Zdroj: | Phys. Rev. B Physical Review B Physical Review B, 97, 3, pp. 1-6 Physical Review B, 97, 1-6 |
| ISSN: | 2469-9950 |
| DOI: | 10.1103/physrevb.97.035102 |
| Popis: | 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 $\ensuremath{\epsilon}=2.24\ifmmode\pm\else\textpm\fi{}0.02$. Then it rises and at a large distance the dielectric permittivity reaches the plateau $\ensuremath{\epsilon}\ensuremath{\simeq}4.20\ifmmode\pm\else\textpm\fi{}0.66$. 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 $\ensuremath{\epsilon}$ 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. |
| Databáze: | OpenAIRE |
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