Quantum oscillations and Dirac-Landau levels in Weyl superconductors

Abstract

When magnetic field is applied to metals and semimetals quantum oscillations appear as individual Landau levels cross the Fermi level. Quantum oscillations generally do not occur in superconductors (SC) because magnetic field is either expelled from the sample interior or, if strong enough, drives the material into the normal state. In addition, elementary excitations of a superconductor -- Bogoliubov quasiparticles -- do not carry a well defined electric charge and therefore do not couple in a simple way to the applied magnetic field. We predict here that in Weyl superconductors certain types of elastic strain have the ability to induce chiral pseudo-magnetic field which can reorganize the electronic states into Dirac-Landau levels with linear band crossings at low energy. The resulting quantum oscillations in the quasiparticle density of states and thermal conductivity can be experimentally observed under a bending deformation of a thin film Weyl SC and provide new insights into this fascinating family of materials.

arXiv commentVersion accepted by PRB, minor changes, references added

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Cited by in corpus (18)

• Mixed axial-torsional anomaly in Weyl semimetals
• Encyclopedia of emergent particles in type-IV magnetic space groups
• Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients
• Negative thermal magnetoresistivity as a signature of chiral anomaly in Weyl superconductors
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Charge/Spin Supercurrent and the Fulde-Ferrell State Induced by Crystal Deformation in Weyl/Dirac Superconductors
• Giant periodic pseudo-magnetic fields in strained kagome magnet FeSn epitaxial films on SrTiO${}_3$(111) substrate
• Magnon quantum anomalies in Weyl ferromagnets
• Twist-induced magnon Landau levels in honeycomb magnets
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
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• Pseudo-magnetic fields in square lattices
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor