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

Abstract

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 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 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.

17 pages, 10 figures

References in corpus (24)

• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Topological Semimetals
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Progress and prospects in magnetic topological materials
• Discovery of Weyl fermion semimetals and topological Fermi arc states
• Chiral anomaly and transport in Weyl metals
• Review of experiments on the chiral anomaly in Dirac-Weyl semimetals
• 3D Quantum Hall Effect Manipulated by Chiral Landau Levels in Weyl Semimetals
• Field-Tunable One-Sided Higher-Order Topological Hinge States in Dirac Semimetals
• Magnetic description of the Fermi arc in type-I and type-II Weyl semimetals
• Emergence of Gapped Bulk and Metallic Side Walls in the Zeroth Landau level in Dirac and Weyl semimetals
• Fermi arc reconstruction at the interface of twisted Weyl semimetals
• Infinite Berry Curvature of Weyl Fermi Arcs
• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Landau levels with magnetic tunnelling in Weyl semimetal and magnetoconductance of ballistic $p$-$n$ junction
• Quantum oscillations as a probe of interaction effects in Weyl semimetals in a magnetic field
• Fermi-arc metals
• Time-reversal-broken Weyl semimetal in the Hofstadter regime
• Quantum Hall effect induced by chiral Landau levels in topological semimetal films
• Magnetic Breakdown and Chiral Magnetic Effect at Weyl-Semimetal Tunnel Junctions
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Pairwise annihilation of Weyl nodes induced by magnetic fields in the Hofstadter regime
• On spectral flow and Fermi arcs
• Quantum Oscillation Signatures of Fermi Arcs in Tunnel Magnetoconductance

Cited by in corpus (2)

• Breakdown of chiral anomaly and emergent phases in Weyl semimetals under orbital magnetic fields
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals