Electronic zero modes of vortices in Hall states of gapped graphene
arXiv:1005.0572 · doi:10.1103/PhysRevB.83.115450
Abstract
Recent observation of a metal-insulator phase transition in the Hall state of graphene has inspired the idea that charge carriers in the metallic state could be fractionally charged vortices. We examine the question of whether vortices in particular gapped states of graphene and subject to external magnetic and pseudo-magnetic fields could have the mid-gap zero mode electron states which would allow them to be charged.
8pgs
References in corpus (23)
- Quantum Hall Ferromagnetism in Graphene
- Landau Level Splitting in Graphene in High Magnetic Fields
- Spin Filtered Edge States and Quantum Hall Effect in Graphene
- Electron fractionalization in two-dimensional graphenelike structures
- The zero-energy state in graphene in a high magnetic field
- Dissipative Quantum Hall Effect in Graphene near the Dirac Point
- Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
- Electron interactions in graphene in a strong magnetic field
- Excitonic gap, phase transition, and quantum Hall effect in graphene
- Theory of integer quantum Hall effect in graphene
- Gap opening in the zeroth Landau level of graphene
- Quantum-Hall activation gaps in graphene
- Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
- Electron fractionalization for two-dimensional Dirac fermions
- Quantizing Majorana Fermions in a Superconductor
- SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
- Irrational vs. rational charge and statistics in two-dimensional quantum systems
- Odd-Integer Quantum Hall Effect in Graphene: Interaction and Disorder Effects
- Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice
- Plateau insulator transition in graphene
- Breakdown of the N=0 Quantum Hall State in graphene: two insulating regimes
- Topological low-energy modes in N=0 Landau levels of graphene: a possibility of a quantum-liquid ground state
- Hierarchy of Spin and Valley Symmetry Breaking in Quantum Hall Single Layer Graphene
Cited by in corpus (5)
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Magnetic Catalysis: A Review
- index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
- Induced fractional valley number in graphene with topological defects
- Aharonov-Bohm-Coulomb Problem in Graphene Ring