Magnetic field induced inequivalent vortex zero modes in strained graphene

Abstract

Zero energy states in the Dirac spectrum with U(1) symmetric massive vortices of various underlying insulating orders in strained graphene are constructed in the presence of the magnetic field. An easy plane vortex of antiferromagnet and quantum spin Hall orders host two zero energy states, however, with two different length scales. Such inequivalent zero modes can lead to oscillatory charge and magnetization, and their usual quantizations get restored only far from the vortex core. Otherwise, these zero modes can be delocalized from each other by tuning the mutual strength of two fields. One can, therefore, effectively bind a single zero mode in the vortex core. A possible experimental set up to capture signature of this theory in real graphene as well as in optical honeycomb lattices is mentioned. Generalization of this scenario with underlying topological defects of Kekule superconductors can localize a single Majorana mode in the vicinity of the defect-core.

7 Pages, 1 Figure, revised Manuscript with streamlined presentation, technical details, enriched discussion, updated references; PRB published version

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• Topological Mott Insulators
• Interactions and phase transitions on graphene's honeycomb lattice
• Electron fractionalization in two-dimensional graphenelike structures
• Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
• Theory of interacting electrons on the honeycomb lattice
• Chiral Gauge Theory for Graphene
• Theory of integer quantum Hall effect in graphene
• Unconventional superconductivity on honeycomb lattice: the theory of Kekule order parameter
• Divergent resistance at the Dirac point in graphene: Evidence for a transition in a high magnetic field
• SO(3) symmetry between Neel and ferromagnetic order parameters for graphene in a magnetic field
• Pseudo-magnetic catalysis of the time-reversal symmetry breaking in graphene
• Zero-energy states and fragmentation of spin in the easy-plane antiferromagnet on a honeycomb lattice

Cited by in corpus (14)

• Vortices and Other Topological Solitons in Dense Quark Matter
• Magnetic catalysis and axionic charge-density-wave in Weyl semimetals
• Strain-induced time-reversal odd superconductivity in graphene
• Theory of unconventional quantum Hall effect in strained graphene
• Topological insulators in strained graphene at weak interaction
• Zero-modes and global antiferromagnetism in strained graphene
• Asymmetric spatial structure of zero modes for birefringent Dirac fermions
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Conserved charges of order-parameter textures in Dirac systems
• Vortex Solutions and a Novel Role for R-parity in an N=2-Supersymmetric Model for Graphene
• Transport in strained graphene: Interplay of Abelian and axial magnetic fields
• Half vortex and fractional electrical charge in two dimensions
• Zero modes and index theorems for non-Hermitian Dirac fermions