Dynamic response functions of two-dimensional Dirac fermions with screened Coulomb and short-range interactions

Abstract

We consider a screened Coulomb interaction between electrons in graphene and determine their dynamic response functions, such as a longitudinal and a transverse electric conductivity and a polarization function and compare them to the corresponding quantities in the short-range interaction model. The calculations are performed to all orders for short-range interaction by taking into account the self-energy renormalization of the electron velocity and using a ladder approximation to account for the vertex corrections, ensuring that the Ward identity (charge conservation law) is satisfied. Our findings predict a resonant response of interacting electron-hole pairs at a particular frequency below the threshold $qv=\omega$ and further predict an instability for sufficiently strong interactions.

arXiv comment12 pages, 3 figures

References in corpus (19)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Non-Fermi liquid behaviour of electrons in the half-filled honeycomb lattice (A renormalization group approach)
• Marginal Fermi liquid behavior from 2d Coulomb interaction
• Interaction phenomena in graphene seen through quantum capacitance
• Quantum critical scaling in graphene
• Optical transparency of graphene as determined by the fine-structure constant
• Coulomb interaction, ripples, and the minimal conductivity of graphene
• Effect of electron-electron interactions on the conductivity of clean graphene
• Drude weight, plasmon dispersion, and a.c. conductivity in doped graphene sheets
• Minimal conductivity in graphene: interaction corrections and ultraviolet anomaly
• The role of electron-electron interactions in two-dimensional Dirac fermions
• Charge response function and a novel plasmon mode in graphene
• Interaction corrections to the polarization function of graphene
• Conductivity of interacting massless Dirac particles in graphene: Collisionless regime
• Control of electron-electron interaction in graphene by proximity screening
• Absence of interaction corrections in graphene conductivity
• Interaction corrections to the minimal conductivity of graphene via dimensional regularization
• Universal collisionless transport of graphene

Cited by in corpus (6)

• Probing quantum spin liquids with a quantum twisting microscope
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Sommerfeld enhancement factor in two-dimensional Dirac materials
• Interaction effects in graphene in a weak magnetic field
• Collective spin oscillations in a magnetized graphene sheet
• Gyromagnetic ratio and Pauli form factor in anisotropic QED${}_{2+1}$ at one-loop