Electric dipole induced universality for Dirac fermions in graphene

Abstract

We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accomodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment determines the number of towers, but there is always at least one tower. The corresponding eigenstates show a characteristic angular asymmetry, observable in tunnel spectroscopy. However, charge transport properties inferred from scattering states are highly isotropic.

5 pages, 3 figures, slightly shortened final version

References in corpus (10)

• The electronic properties of graphene
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• The Coulomb impurity problem in graphene
• Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene
• Atomic Collapse and Quasi-Rydberg States in Graphene
• Geometry, mechanics and electronics of singular structures and wrinkles in graphene
• Supercritical Coulomb center and excitonic instability in graphene
• Analytical solution of the bosonic three-body problem
• Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
• Bound States and Supercriticality in Graphene-Based Topological Insulators

Cited by in corpus (27)

• Tunable plasmonic reflection by bound 1D electron states in a 2D Dirac metal
• Observing a scale anomaly and a universal quantum phase transition in graphene
• Optical high harmonic generation in Dirac materials
• Point-Particle Effective Field Theory I: Classical Renormalization and the Inverse-Square Potential
• Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers
• Screening of a charged impurity in graphene in a magnetic field
• Electron states in the field of charged impurities in two-dimensional Dirac systems
• Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
• Dipoles in Graphene Have Infinitely Many Bound States
• Supercriticality of novel type induced by electric dipole in gapped graphene
• Supercritical electric dipole and migration of electron wave function in graphene
• Molecular collapse in monolayer graphene
• Electrical dipole on gapped graphene: Bound states and atomic collapse
• Confinement and edge effects on atomic collapse in graphene nanoribbons
• The breaking of continuous scale invariance to discrete scale invariance: a universal quantum phase transition
• Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
• Non-Relativistic and Relativistic Equations for the Kratzer Potential plus a Dipole in 2D Systems
• Molecular collapse in graphene: sublattice symmetry effect
• Exact Solutions for a Quantum Ring with a Dipolar Impurity
• Tunable circular dipolelike system in graphene: Mixed electron-hole states
• Schrodinger Equation for Non-Pure Dipole Potential in 2D Systems
• Accumulation Rate of Bound States of Dipoles in Graphene
• Atomic collapse of high-order singular potentials in graphene
• Coulomb impurities in graphene driven by ultrashort electromagnetic pulses: Excitation, ionization, and pair creation
• Supercritical instability of Dirac electrons in the field of two oppositely charged nuclei
• Coulomb impurities in graphene driven by fast ions
• Accumulation Rate of Bound States of Dipoles Generated by Point Charges in Strained Graphene