Phonon-induced magnetoresistivity of Weyl semimetal nanowires

Abstract

We study longitudinal magnetotransport in disorder-free cylindrical Weyl semimetal nanowires. Our theory includes a magnetic flux $\Phi$ piercing the nanowire and captures the finite curvature of the Fermi arc in the surface Brillouin zone through a boundary angle $\alpha$. Electron backscattering by acoustic phonons via the deformation potential causes a finite resistivity which we evaluate by means of the semiclassical Boltzmann approach. We find that low-energy transport is dominated by surface states, where transport observables are highly sensitive to the angle $\alpha$ and to Aharonov-Bohm phases due to $\Phi$. A generic subband dispersion relation allows for either one or two pairs of Fermi points. In the latter case, intra-node backscattering is possible and implies a parametrically larger resistivity than for a single Fermi point pair. As a consequence, large and abrupt resistivity changes take place across the transition points separating parameter regions with a different number of Fermi point pairs in a given subband.

16 pages, 12 figures. To appear in PRB

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Cited by in corpus (7)

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• Phonon-limited Transport and Fermi Arc Lifetime in Weyl Semimetals
• Dispersive Drumhead States in Nodal-Line Semimetal Junctions
• Nonreciprocal Weyl semimetal waveguide
• Interfaces of nodal-line semimetals: drum states, transport and refraction
• Spin and thermal current scaling at a $Y$-junction of XX spin chains
• Angular-momentum-selective nanofocusing with Weyl semimetals