Making Chiral Topological Superconductivities from Non-topological Superconductivities Through the Twist

Abstract

In this paper, we propose a general scheme to realize chiral TSCs through the "twistronics". Suppose we have a $D_n$-symmetric monolayer superconductor, which carries non-topological SC with pairing angular momentum $L=n/2$. Here we propose that we can obtain chiral TSC with the same $L$, by stacking two such monolayers with the largest twist angle $\pi /n$, forming a Moireless quasi-crystal (QC) structure, dubbed as the twist-bilayer QC (TB-QC) here. The chiral TSC in the TB-QC is driven by the interlay Josephson coupling between the pairing order parameters of the two layers. An argument based on the universal Ginzburg-Landau theory is provided to understand this proposal. One known example which fits our proposal is the $d+id$-chiral TSC in the 45${}^{\circ }$-twisted bilayer cuprates. Here, based on the microscopic framework developed previously to treat with the electron-electron interactions in the TB-QC, we demonstrate the application of our proposal to a new example, i.e., the $f+if$-chiral TSC obtained by twisting two properly-doped honeycomb-Hubbard-model monolayers by the angle 30${}^{\circ }$. This example is related to the newly synthesized 30${}^{\circ }$-twisted bilayer graphene.

7 pages, 5 figures

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Cited by in corpus (5)

• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
• Classification of electronic nematicity in three-dimensional crystals and quasicrystals
• Cuprate Twistronics for Quantum Hardware
• A critical nematic phase with pseudogap-like behavior in twisted bilayers
• Inducing ${\mathbb{Z}}_2$ Topology in Twisted Nodal Superconductors