Current- and field-induced topology in twisted nodal superconductors

Abstract

We show that interlayer current induces topological superconductivity in twisted bilayers of nodal superconductors. A bulk gap opens and achieves its maximum near a ``magic'' twist angle ${\theta }_{\mathrm{MA}}$. Chiral edge modes lead to a quantized thermal Hall effect at low temperatures. Furthermore, we show that an in-plane magnetic field creates a periodic lattice of topological domains with edge modes forming low-energy bands. We predict their signatures in scanning tunneling microscopy. Estimates for candidate materials indicate that twist angles $\theta \sim {\theta }_{\mathrm{MA}}$ are optimal for observing the predicted effects.

References in corpus (13)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Classification of topological insulators and superconductors in three spatial dimensions
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Unconventional Superconductivity
• High-temperature topological superconductivity in twisted double layer copper oxides
• Quantum Thermal Hall Effect in a Time-Reversal-Symmetry-Broken Topological Superconductor in Two Dimensions : Approach From Bulk Calculations
• Doping a moiré Mott Insulator: A t-J model study of twisted cuprates
• Encapsulating high-temperature superconducting twisted van der Waals heterostructures blocks detrimental effects of disorder
• Twisted van der Waals Josephson junction based on high-Tc superconductor
• Magnetic field evolution of the quasiparticle interference in a d-wave superconductor
• Berry phases and the intrinsic thermal Hall effect in high temperature cuprate superconductors
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Incoherent tunneling and topological superconductivity in twisted cuprate bilayers

Cited by in corpus (18)

• Twisted cuprate van der Waals heterostructures with controlled Josephson coupling
• Josephson diode effects in twisted nodal superconductors
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Andreev Reflection in Scanning Tunneling Spectroscopy of Unconventional Superconductors
• Twisted-bilayer FeSe and the Fe-based superlattices
• 2D high temperature superconductor integration in contact printed circuit boards
• Josephson effects in twisted nodal superconductors
• Robust and tunable coreless vortices and fractional vortices in chiral $d$-wave superconductors
• Cuprate Twistronics for Quantum Hardware
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• A critical nematic phase with pseudogap-like behavior in twisted bilayers
• Vacancy-induced tunable Kondo effect in twisted bilayer graphene
• Supercurrent-induced Anomalous Thermal Hall Effect as a New Probe to Superconducting Gap Anisotropy
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors
• Twisted Nodal Superconductors
• Topological phases in twisted Rashba superconductors
• Supermodulation-driven evolution of the nodal structure of bismuth-based cuprate superconductors
• Dynamical signatures and control of time-reversal breaking in twisted nodal superconductors