Interaction of static charges in graphene within Monte-Carlo simulation

Abstract

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. It is shown that for all considered temperatures the interaction can be well described by the Debye screened potential created by two-dimensional electron-hole excitations. At low temperatures Debye mass $m_D$ plays a role of order parameter of the insulator-semimetal phase transition. In the semimetal phase at high temperature graphene reveals the properties of weakly interacting two-dimensional plasma of fermions excitations.

8 pages, 7 figures

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Cited by in corpus (6)

• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• Quantum Monte Carlo study of static potential in graphene
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Numerical simulation of graphene in external magnetic field
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Lattice field theory simulations of Dirac semimetals