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

Understand

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.