Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure

Abstract

The emergence of a topological superconducting state in van der Waals heterostructures provides a new platform for exploring novel strategies to control topological superconductors. In particular, impurities in van der Waals heterostructures, generically featuring a moire pattern, can potentially lead to the unique interplay between atomic and moire length scales, a feature absent in generic topological superconductors. Here we address the impact of non-magnetic impurities on a topological moire superconductor, both in the weak and strong regime, considering both periodic arrays and single impurities in otherwise pristine infinite moire systems. We demonstrate a fine interplay between impurity-induced modes and the moire length, leading to radically different spectral and topological properties depending on the relative impurity location and moire lengths. Our results highlight the key role of impurities in van der Waals heterostructures featuring moire patterns, revealing the key interplay between length and energy scales in artificial moire systems.

arXiv comment14 pages, 7 figures

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• Extended magic phase in twisted graphene multilayers
• Ferroelectric valley valves with graphene/MoTe${}_2$ van der Waals heterostructures
• Hamiltonian learning with real-space impurity tomography in topological moire superconductors
• Moire-enabled topological superconductivity in twisted bilayer graphene
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model