Zoom ID: 91285313258; Password: 271710.

“Twistronics” paradigm has been tremendously successful in realizing strongly correlated and topological phases of electrons in two-dimensional semiconductors or semimetals. In my talk, I will show that twisted bilayers of nodal superconductors allow a similar degree of control over the neutral quasiparticles in superconductors.

I will demonstrate that the spectrum of the superconducting Dirac quasiparticles close to the gap nodes is strongly renormalized by twisting and can be further controlled externally. In particular, the application of an interlayer current transforms the system into a topological superconductor at any nonzero twist angle, while magnetic field can be used to create periodic lattices of alternating Chern domains. Moreover, at large twist angles near 45° (for d-wave case), I will demonstrate that frustrated Josephson coupling can drive spontaneous time-reversal symmetry breaking. A promising platform to observe these effects is provided by the high-Tc cuprates, and I will discuss the theoretical description of the recent experimental results on twisted flakes of Bi2Sr2CaCu2O8+x.