3DCuT · 3D Cuprate Twistronics as a platform for high temperature topological superconductivity

2D superconductors can be used to build ultra-clean interfaces for Josephson junctions, the superconducting analog of a transistor. A small twist in the relative crystal orientation of 2D superconductors could become a new platform for topological superconductivity, an exotic state of matter that holds great promise for quantum computing at high temperatures. Based on my methodological developments for the realization of twisted cuprate ultra-clean interfaces, the field is rapidly evolving, and these interfaces are now the leading candidate for the implementation of high-temperature topological superconductivity. However, the combination of well-controlled twisted cuprate heterostructures and complex circuits calls for new experimental methodologies.3DCuT will develop micro/nanodevices and techniques to fabricate and control cuprate van der Waals twisted heterostructures in three-dimensional nanoarchitectures: 1) We will develop novel fabrication tools to integrate complex thermal and superconducting circuits in fragile twisted cuprate bilayers. We will explore if a topological gap opens near ´magic´ angles in twisted bilayers by studying the Josephson effect. 2) We will fabricate trilayers cuprate heterostructures with different twist angle symmetries, where the topological gap is amplified and time-reversal symmetry broken states appear across a wide range of angles. 3) We will create a heterostructure between a superconducting cuprate twisted heterostructure and a topological insulating crystal, allowing us to create a chiral Majorana edge mode. At the end of this project, we will have provided a brand-new solid-state tool for emerging quantum technologies in computation, metrology, secure communication, single-photon imaging, methodologies for the entire field of 2D materials, and a comprehensive understanding of the governing principles and ingredients for topological superconductivity at high temperatures.