Reducing electronic transport dimension to topological hinge states by increasing geometry size of Dirac semimetal Josephson junctions

Abstract

The notion of topological phases has been extended to higher-order and has been generalized to different dimensions. As a paradigm, Cd3As2 is predicted to be a higher-order topological semimetal, possessing three-dimensional (3D) bulk Dirac fermions, two-dimensional (2D) Fermi arcs, and one-dimensional (1D) hinge states. These topological states have different characteristic length scales in electronic transport, allowing to distinguish their properties when changing sample size. Here, we report an anomalous dimensional reduction of supercurrent transport by increasing the size of Dirac semimetal Cd3As2-based Josephson junctions. An evolution of the supercurrent quantum interferences from a standard Fraunhofer pattern to a superconducting quantum interference device (SQUID)-like one is observed when the junction channel length is increased. The SQUID-like interference pattern indicates the supercurrent flowing through the 1D hinges. The identification of 1D hinge states should be valuable for deeper understanding the higher-order topological phase in a 3D Dirac semimetal.

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• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Floquet Weyl semimetal phases in light-irradiated higher-order topological Dirac semimetals
• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Engineering exotic second-order topological semimetals by periodic driving
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Quasicrystalline second-order topological semimetals
• Nodal higher-order topological superconductivity from a ${\mathcal{C}}_4$-symmetric Dirac semimetal
• Floquet engineering of topological phase transitions in quantum spin Hall $\alpha$-$T_3$ system
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Topological nature of higher-order hinge states revealed by spin transport
• Long-lived Andreev states as evidence for protected hinge modes in a bismuth nanoring Josephson junction
• Magnetic field filtering of the hinge supercurrent in unconventional metal NiTe${}_2$-based Josephson junctions
• Rotoinversion-symmetric bulk-hinge correspondence and its applications to higher-order Weyl semimetals
• Crystalline-electromagnetic responses of higher order topological semimetals
• Engineering rich two-dimensional higher-order topological phases by flux and periodic driving
• Characterization of higher-order topological superconductors using Bott indices
• Current-phase relation of a short multi-mode Bi2Se3 topological insulator nanoribbon Josephson junction with ballistic transport modes
• Correlated second-order Dirac semimetals with Coulomb interactions
• Coalescence of Andreev bound states on the surface of a chiral topological semimetal