QUANTUM DESCRIPTION OF FERMI ARCS IN WEYL SEMIMETALS IN A MAGNETIC FIELD

Quantum description of Fermi arcs in Weyl semimetals in a magnetic field

Quantum description of Fermi arcs in Weyl semimetals in a magnetic field

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For a Weyl semimetal (WSM) in a magnetic field, a semiclassical description of the Fermi-arc surface state dynamics is usually employed for explaining various unconventional magnetotransport phenomena, e.g., Weyl orbits, the three-dimensional quantum Hall effect, and the high transmission through twisted WSM interfaces.

For a half-space geometry, we determine the low-energy quantum Oversized Panels eigenstates for a four-band model of a WSM in a magnetic field perpendicular to the surface.The eigenstates correspond to in- and out-going chiral Landau level (LL) states, propagating (anti)parallel to the field direction near different Weyl nodes, which are Dryer Motor Mounts coupled by evanescent surface-state contributions generated by all other LLs.These replace the Fermi arc in a magnetic field.

Computing the phase shift accumulated between in- and out-going chiral LL states, we compare our quantum-mechanical results to semiclassical predictions.We find quantitative agreement between both approaches.

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