Surface States and Arcless Angles in Twisted Weyl Semimetals

Abstract

Fermi arc states are features of Weyl semimetal (WSM) surfaces which are robust due to the topological character of the bulk band structure. We demonstrate that Fermi arcs may undergo profound restructurings when surfaces of different systems with a well-defined twist angle are tunnel-coupled. The twisted WSM interface supports a moiré pattern which may be approximated as a periodic system with large real-space unit cell. States bound to the interface emerge, with interesting consequences for the magneto-oscillations expected when a magnetic field is applied perpendicular to the system surfaces. As the twist angle passes through special "arcless angles', for which open Fermi arc states are absent at the interface, Fermi loops of states confined to the interface may break off, without connecting to bulk states of the WSM. We argue that such states have interesting resonance signatures in the optical conductivity of the system in a magnetic field perpendicular to the interface.

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• Weyl Semimetal Path to Valley Filtering in Graphene
• Majorana-Weyl cones in ferroelectric superconductors
• Quantum Oscillation Signatures of Fermi Arcs in Tunnel Magnetoconductance
• Conductance oscillation in surface junctions of Weyl semimetals
• Tunnelling theory of Weyl semimetals in proximity to a metallic band
• Magnetotransport across Weyl semimetal grain boundaries
• Magneto tunnel conductance across twisted Weyl semimetal junctions