Pseudo-Landau levels of Bogoliubov quasiparticles in strained nodal superconductors

Abstract

Motivated by theory and experiments on strain induced pseudo-Landau levels (LLs) of Dirac fermions in graphene and topological materials, we consider its extension for Bogoliubov quasiparticles (QPs) in a nodal superconductor (SC). We show, using an effective low energy description and numerical lattice calculations for a d-wave SC, that a spatial variation of the electronic hopping amplitude or a spatially varying s-wave pairing component can act as a pseudo-magnetic field for the Bogoliubov QPs, leading to the formation of pseudo-LLs. We propose realizations of this phenomenon in the cuprate SCs, via strain engineering in films or nanowires, or s-wave proximity coupling in the vicinity of a nematic instability, and discuss its signatures in tunneling experiments.

13 pages, 5 figs (added refs)

References in corpus (10)

• The electronic properties of graphene
• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Novel electric field effects on Landau levels in Graphene
• Graphene as an electronic membrane
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Blue Phosphorene Oxide: Strain-tunable Quantum Phase Transitions and Novel 2D Emergent Fermions
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Theory of the nodal nematic quantum phase transition in superconductors
• Quantum oscillations without magnetic field
• Andreev reflection in edge states of time reversal invariant Landau levels

Cited by in corpus (13)

• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• 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
• Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
• Topological d-wave superconductivity in two dimensions
• Quantum Monte Carlo study of honeycomb antiferromagnets under a triaxial strain
• Acousto-magnonic spin Hall effect in honeycomb antiferromagnets
• 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
• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction
• Landau levels and optical conductivity in the mixed state of a generic Weyl superconductor
• Surface acoustic wave-driven valley current generation in intervalley coherent states