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.

Version accepted by PRB, minor changes, references added

References in corpus (15)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
• Bulk Fermi surface coexistence with Dirac surface state in Bi${}_2$Se${}_3$: a comparison of photoemission and Shubnikov-de Haas measurements
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Topological surface states in nodal superconductors
• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Topological field theory and thermal responses of interacting topological superconductors
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Evidence of nodes in the order parameter of the superconducting doped topological insulator Nb${}_x$Bi${}_2$Se${}_3$ via penetration depth measurements
• Quantum oscillations without magnetic field
• Theory of quantum magneto-oscillations in underdoped cuprate superconductors

Cited by in corpus (9)

• Encyclopedia of emergent particles in type-IV magnetic space groups
• Strain-induced pseudo-magnetic field in $\alpha -{\mathcal{T}}_3$ lattice
• Giant periodic pseudo-magnetic fields in strained kagome magnet FeSn epitaxial films on SrTiO${}_3$(111) substrate
• Magnon quantum anomalies in Weyl ferromagnets
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Helical superconducting edge modes from pseudo-Landau levels in graphene
• Pseudo-magnetic fields in square lattices
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor