Asymmetric spatial structure of zero modes for birefringent Dirac fermions

Abstract

We study the zero energy modes that arise in an unusual vortex configuration involving both the kinetic energy and an appropriate mass term in a model which exhibits birefringent Dirac fermions as its low energy excitations. We find the surprising feature that the ratio of the length scales associated with states centered on vortex and anti-vortex topological defects can be arbitrarily varied but that fractionalization of quantum numbers such as charge is unaffected. We discuss this situation from a symmetry point of view and present numerical results for a specific lattice model realization of this scenario.

7 pages, 6 figures

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Cited by in corpus (19)

• The Raman dressed spin-1 spin-orbit coupled quantum gas
• Higher-order Dirac fermions in three dimensions
• Hybrid Dirac Semimetal in CaAgBi Materials Family
• Two-dimensional topological semimetals
• From Birefringent Electrons to a Marginal or Non-Fermi Liquid of Relativistic Spin-1/2 Fermions: An Emergent Superuniversality
• Robust Marginal Fermi Liquid In Birefringent Semimetals
• Persistence of chirality in the Su-Schrieffer-Heeger model in the presence of on-site disorder
• Charge Density Waves on a Half-Filled Decorated Honeycomb Lattice
• Type-II topological metals
• Instabilities of a birefringent semi-metal
• Quantum phase transitions of multi-species Dirac fermions
• $Z_2$ index for gapless fermionic modes in the vortex core of three dimensional paired Dirac fermions
• Transport properties in non-Fermi liquid phases of nodal-point semimetals
• Relativistic non-Fermi liquid from interacting birefringent fermions: A robust superuniversality
• Yukawa-Lorentz symmetry of interacting non-Hermitian birefringent Dirac fermions
• Polar hairs of mixed-parity nodal superconductors in Rarita-Schwinger-Weyl metals
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Half vortex and fractional electrical charge in two dimensions
• Three-dimensional honeycomb carbon: Junction line distortion and novel emergent fermions