Magnetotransport in Weyl semimetal nanowires

Igarashi, Akira; Koshino, Mikito

doi:10.1103/physrevb.95.195306

Cited by 17 publications

(21 citation statements)

References 50 publications

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“…While the DC response in nanowires was already investigated in refs. [39][40][41], the spatial profiles of the conductivity were not rigorously analyzed to the best of our knowledge.…”

Section: Conductivitymentioning

confidence: 99%

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Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

et al. 2020

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The transport properties and electron states in cylinder nanowires of Dirac and Weyl semimetals are studied paying special attention to the structure and properties of the surface Fermi arcs. The latter make the electric charge and current density distributions in nanowires strongly nonuniform as the majority of the charge density is accumulated at the surface. It is found that a Weyl semimetal wire also supports a magnetization current localized mainly at the surface because of the Fermi arcs contribution. By using the Kubo linear response approach, the direct current (DC) conductivity is calculated and it is found that its spatial profile is nontrivial. By explicitly separating the contributions of the surface and bulk states, it is shown that when the electric chemical potential and/or the radius of the wire is small, the electron transport is determined primarily by the Fermi arcs and the electrical conductivity is much higher at the surface than in the bulk. Due to the rise of the surface‐bulk transition rate, the relative contribution of the surface states to the total conductivity gradually diminishes as the chemical potential increases. In addition, the DC conductivity at the surface demonstrates noticeable peaks when the Fermi level crosses energies of the surface states.

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“…While the DC response in nanowires was already investigated in refs. [39][40][41], the spatial profiles of the conductivity were not rigorously analyzed to the best of our knowledge.…”

Section: Conductivitymentioning

confidence: 99%

“…where p.v. stands for the principal value, as well as Equations (31) and (40), we straightforwardly derive the following longitudinal DC conductivity…”

Section: Kubo Linear Response Approachmentioning

confidence: 99%

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

et al. 2020

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“…From this,(28), and(27) the width dependence of the scattering probabilities summarizes to l b b /l l ss /l l sb /l l bs /l…”

mentioning

confidence: 92%

“…Finite-size effects in meso-and macroscopic Weyl semimetals (crystal dimensions much larger than the lattice constant), have also been explored with the focus on the role of topological Fermi-arc surface states [26][27][28][29][30][31][32][33][34][35][36]. Peculiarities are rooted in the specifics of the momentum-space structure of Fermi arcs connecting valleys of opposite chirality and their unidirectional motion at a single surface, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Chiral anomaly trapped in Weyl metals: Nonequilibrium valley polarization at zero magnetic field

Perez-Piskunow

Bovenzi²,

Akhmerov

et al. 2021

SciPost Phys.

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In Weyl semimetals, the application of parallel electric and magnetic fields leads to valley polarization---an occupation disbalance of valleys of opposite chirality---a direct consequence of the chiral anomaly. In this work, we present numerical tools to explore such nonequilibrium effects in spatially confined three-dimensional systems with a variable disorder potential, giving exact solutions to leading order in the disorder potential and the applied electric field. Application to a Weyl-metal slab shows that valley polarization also occurs without an external magnetic field as an effect of chiral anomaly ``trapping'': Spatial confinement produces chiral bulk states, which enable the valley polarization in a similar way as the chiral states induced by a magnetic field. Despite its finite-size origin, the valley polarization can persist up to macroscopic length scales if the disorder potential is sufficiently long ranged, so that direct inter-valley scattering is suppressed and the relaxation then goes via the Fermi-arc surface states.

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“…At the same time there has been a growing interest in finite-size effects in meso-and macroscopic crystals (crystal dimensions much larger than the lattice constant), especially on the role of topological Fermi-arc surface states of Weyl semimetals on transport [16][17][18][19][20][21][22][23][24][25]. Peculiarities are rooted in the specifics of the momentum-space structure of Fermi arcs connecting valleys of opposite chirality, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Chiral Anomaly Trapped in Weyl Metals: Nonequilibrium Valley Polarization at Zero Magnetic Field

Perez-Piskunow,

Bovenzi,

Akhmerov

et al. 2021

Preprint

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Magnetotransport in Weyl semimetal nanowires

Cited by 17 publications

References 50 publications

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

Fermi Arcs and DC Transport in Nanowires of Dirac and Weyl Semimetals

Chiral anomaly trapped in Weyl metals: Nonequilibrium valley polarization at zero magnetic field

Chiral Anomaly Trapped in Weyl Metals: Nonequilibrium Valley Polarization at Zero Magnetic Field

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