Title: 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.