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Much of the current experimental efforts for detecting Majorana zero modeshave been centered on probing the boundary of quantum wires with strongspin-orbit coupling. The same type of Majorana zero mode can also be realizedat crystalline dislocations in 2D superconductors with the nontrivial weaktopological indices. Unlike at an Abrikosov vortex, at such a dislocation,there are no other low-lying midgap states than the Majorana zero mode so thatit avoids usual complications encountered in experimental detections such asscanning tunneling microscope (STM) measurements. We will show that, using theanisotropic dispersion of the $t_{2g}$ orbitals of Ti or Ta atoms, such a weaktopological superconductivity can be realized when the surface 2DEG ofSrTiO$_3$ or KTaO$_3$ becomes superconducting, which can occur through eitherintrinsic pairing or proximity to existing s-wave superconductors.

Dislocation Majorana zero modes in perovskite oxide 2DEG