Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients

Abstract

Motivated by recent work on strain-induced pseudo-magnetic fields in Dirac and Weyl semimetals, we analyze the possibility of analogous fields in two-dimensional nodal superconductors. We consider the prototypical case of a d-wave superconductor, a representative of the cuprate family, and find that the presence of weak strain leads to pseudo-magnetic fields and Landau quantization of Bogoliubov quasiparticles in the low-energy sector. A similar effect is induced by the presence of generic, weak doping gradients. In contrast to genuine magnetic fields in superconductors, the strain- and doping gradient-induced pseudo-magnetic fields couple in a way that preserves time-reversal symmetry and is not subject to the screening associated with the Meissner effect. These effects can be probed by tuning weak applied supercurrents which lead to shifts in the energies of the Landau levels and hence to quantum oscillations in thermodynamic and transport quantities.

5 pages, 3 figures, plus supplementary material

References in corpus (8)

• The electronic properties of graphene
• Energy gaps in high-transition temperature cuprate superconductors
• Symmetry-based approach to electron-phonon interactions in graphene
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Inhomogeneous Weyl and Dirac semimetals: Transport in axial magnetic fields and Fermi arc surface states from pseudo Landau levels
• Quantum oscillations without magnetic field
• Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors

Cited by in corpus (19)

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• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Hall viscosity for optical phonons
• Giant periodic pseudo-magnetic fields in strained kagome magnet FeSn epitaxial films on SrTiO${}_3$(111) substrate
• Twist-induced magnon Landau levels in honeycomb magnets
• Topologically protected Landau level in the vortex lattice of a Weyl superconductor
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Magnon Landau levels in the strained antiferromagnetic honeycomb nanoribbons
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Acousto-magnonic spin Hall effect in honeycomb antiferromagnets
• Universal chiral magnetic effect in the vortex lattice of a Weyl superconductor
• Pseudo Landau levels, negative strain resistivity, and enhanced thermopower in twisted graphene 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
• Interacting Majorana fermions in strained nodal superconductors
• Surface acoustic wave-driven valley current generation in intervalley coherent states