Numerical study of the conductivity of graphene monolayer within the effective field theory approach

Abstract

We report on the direct numerical measurements of the conductivity of graphene monolayer. Our 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. The conductivity is obtained from the Green-Kubo relations using the Maximum Entropy Method. We find that in a phase with spontaneously broken sublattice symmetry the conductivity rapidly decreases. For the largest value of the coupling constant used in our simulations g = 4.5, the DC conductivity is less than the DC conductivity in the weak-coupling phase (at g < 3.5) by at least three orders of magnitude.

arXiv comment9 pages, 6 figures, accepted for publication in Phys. Rev. B

References in corpus (20)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Renormalization Group Approach to Interacting Fermions
• Zitterbewegung, chirality, and minimal conductivity in graphene
• Maximum Entropy Analysis of the Spectral Functions in Lattice QCD
• Magnetic field driven metal-insulator phase transition in planar systems
• Is graphene in vacuum an insulator?
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Lattice field theory simulations of graphene
• Quantum Critical Behaviour in a Graphene-like Model
• Excitonic instability in two-dimensional degenerate semimetals
• Gap generation and semimetal-insulator phase transition in graphene
• Monte Carlo Simulation of the Semimetal-Insulator Phase Transition in Monolayer Graphene
• Critical exponents of the semimetal-insulator transition in graphene: A Monte Carlo study
• Chiral Gap and Collective Excitations in Monolayer Graphene from Strong Coupling Expansion of Lattice Gauge Theory
• Monte Carlo simulation of monolayer graphene at non-zero temperature
• Chiral Symmetry Breaking in Monolayer Graphene by Strong Coupling Expansion of Compact and Non-compact U(1) Lattice Gauge Theories
• Effects of flavor-symmetry violation from staggered fermion lattice simulations of graphene
• Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice

Cited by in corpus (30)

• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• QCD and strongly coupled gauge theories: challenges and perspectives
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Numerical analytic continuation of Euclidean data
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• Dynamics of electric transport in interacting Weyl semimetals
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• Conductivity of pure graphene: Theoretical approach using the polarization tensor
• Chiral anomaly and strength of the electron-electron interaction in graphene
• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Weyl Semimetal in the Strong Coulomb Interaction Limit
• Conductivity of graphene in the framework of Dirac model: Interplay between nonzero mass gap and chemical potential
• Quantum Monte Carlo study of static potential in graphene
• Quantum electrodynamic approach to the conductivity of gapped graphene
• Stability of Multinode Dirac Semimetals against Strong Long-Range Correlations
• Numerical simulation of graphene in external magnetic field
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Phase structure of 2-dimensional topological insulators by lattice strong coupling expansion
• Strong Coupling Expansion in a Correlated Three-Dimensional Topological Insulator
• Dyson-Schwinger approach to strongly coupled theories
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• Direct detection of metal-insulator phase transitions using the modified Backus-Gilbert method
• Interaction of static charges in graphene within Monte-Carlo simulation
• The influence of defects on the conductivity of graphene within the effective theory approach
• Green functions in graphene monolayer with Coulomb interactions taken into account
• Link auxiliary field method in the Extended Hubbard model
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Position space formulation for Dirac fermions on honeycomb lattice
• Hall conductivity of strained $Z_2$ crystals