Essentially non-perturbative and peculiar polarization effects in planar QED with strong coupling

Abstract

The essentially non-perturbative polarization effects are considered for a planar supercritical Dirac-Coulomb system with strong coupling (similar to graphene and graphene-based heterostructures) in terms of induced charge density ${\rho }_{VP}(\vec{r})$. The main attention is paid to the renormalization, convergence of the partial expansion and the behavior of ${\rho }_{VP}(\vec{r})$ and the integral induced charge $Q_{VP}$ in the overcritical region. The dependence of the induced density on the screening of the Coulomb asymptotics of the external source is also explored in detail. Some peculiar effects in the discrete spectrum with the lowest rotational numbers $m_j=\pm 1/2,\pm 3/2$ in the screened case are detected and their possible role in the transition through corresponding $Z_{cr}$ is also discussed.

arXiv commentRevised abstract, introduction (part 1) and conclusion (part 6), results unchanged. arXiv admin note: substantial text overlap with arXiv:1802.05336

References in corpus (25)

• The electronic properties of graphene
• Chiral tunneling and the Klein paradox in graphene
• Unconventional Integer Quantum Hall effect in graphene
• Electronic Properties of Graphene in a Strong Magnetic Field
• Electron-positron pairs in physics and astrophysics: from heavy nuclei to black holes
• The Coulomb impurity problem in graphene
• Klein Backscattering and Fabry-Perot Interference in Graphene Heterojunctions
• Vacuum Polarization and Screening of Supercritical Impurities in Graphene
• Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
• Nonlinear screening of charge impurities in graphene
• Screening of a hypercritical charge in graphene
• The effective fine structure constant of freestanding graphene measured in graphite
• Supercritical Coulomb Impurities in Gapped Graphene
• Atomic collapse, Lorentz boosts, Klein scattering, and other quantum-relativistic phenomena in graphene
• Screening of Coulomb Impurities in Graphene
• Coulomb impurity in graphene
• Polarization Charge Distribution in Gapped Graphene
• Chiral Tunnelling in Twisted Graphene Bilayer
• Spontaneously Broken Lorentz Invariance in Three-Dimensional Gauge Theories
• Probing QED Vacuum with Heavy Ions
• Vacuum polarization of graphene with a supercritical Coulomb impurity: Low-energy universality and discrete scale invariance
• Vacuum energy of one-dimensional supercritical Dirac-Coulomb system
• The Induced Charge Generated By The Potential Well In Graphene
• Hexagonal-boron nitride substrates for electroburnt graphene nanojunctions
• Plane density of induced vacuum charge in a supercritical Coulomb potential

Cited by in corpus (2)

• Casimir force variability in one-dimensional QED systems
• Ferromagnetic phase in graphene-based planar heterostructures induced by charged impurity