Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs

Baireuther, Paul; Hutasoit, Jimmy A.; Tworzydło, J.; Beenakker, C. W. J.

doi:10.1088/1367-2630/18/4/045009

Cited by 62 publications

(82 citation statements)

References 52 publications

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“…On the other hand, several works have focused on the direct effects of the surface states on the various transport phenomena. [28][29][30][31][32][33][34][35][36][37][38][39][40] It was predicted that an open Fermi arc gives rise to anomalous quantum oscillation in Weyl semimetal thin film [28][29][30][31] , and it was observed in a recent experiment for the Dirac semimetal Cd 3 As 2 , 39 which has doubly degenerate Weyl-semimetal bands overlapping in the momentum space. Concerning other topological systems, the surface-state transport was studied for the nanowire of topological insulators, where the helical surface states give rise to the Aharanov-Bohm oscillation with non-trivial Berry phase.…”

Section: -13mentioning

confidence: 99%

Magnetotransport in Weyl semimetal nanowires

Igarashi

Koshino

2017

Phys. Rev. B

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We theoretically study the band structure and the electronic transport in the Weyl semimetal nanowires in magnetic fields, and demonstrate that the interplay of the Fermi-arc surface states and the bulk Landau levels plays a crucial role in the magnetotransport. We show that a magnetic field perpendicular to the surface immediately hybridizes the counter-propagating surface modes into a series of dispersionless 0th Landau levels, and it leads to a significant reduction of the traveling modes and a rapid decay of the conductance. On the contrary, a magnetic field parallel to the wire adds linearly-dispersed 0th Landau levels to the traveling modes and increases the conductance.

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Section: -13mentioning

confidence: 99%

Magnetotransport in Weyl semimetal nanowires

Igarashi

Koshino

2017

Phys. Rev. B

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“…[]. Remarkably, it was shown that the contribution of the Fermi arc states to the electric current induced by a slowly varying magnetic field can be significant and even comparable to that of the bulk states regardless of the system size . In fact, the corresponding contribution resembles the current of the chiral magnetic effect and equals

- e^{2} / false(4 π^{2} ℏ^{2} c false) μ_{5} B

, where

- e

is the electron charge, μ 5 is the chiral chemical potential, and B is a magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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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“…The current in the Weyl cone of one chirality has to be canceled by a current in the Weyl cone of opposite chirality to ensure zero net current in equilibrium. The generation of an electrical current density j along an applied magnetic field B, the so-called chiral magnetic effect (CME) [7,8], has been observed as a dynamic, nonequilibrium phenomenon [9][10][11][12][13]-but it cannot be realized in equilibrium because of the fermion doubling [14][15][16][17][18][19][20][21][22][23][24].…”

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confidence: 99%

Superconductivity Provides Access to the Chiral Magnetic Effect of an Unpaired Weyl Cone

2017

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The massless fermions of a Weyl semimetal come in two species of opposite chirality, in two cones of the band structure. As a consequence, the current j induced in one Weyl cone by a magnetic field B [the chiral magnetic effect (CME)] is canceled in equilibrium by an opposite current in the other cone. Here, we show that superconductivity offers a way to avoid this cancellation, by means of a flux bias that gaps out a Weyl cone jointly with its particle-hole conjugate. The remaining gapless Weyl cone and its particle-hole conjugate represent a single fermionic species, with renormalized charge e Ã and a single chirality AE set by the sign of the flux bias. As a consequence, the CME is no longer canceled in equilibrium but appears as a supercurrent response ∂j=∂B ¼ AEðe Ã e=h 2 Þμ along the magnetic field at chemical potential μ.

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Scattering theory of the chiral magnetic effect in a Weyl semimetal: interplay of bulk Weyl cones and surface Fermi arcs

Cited by 62 publications

References 52 publications

Magnetotransport in Weyl semimetal nanowires

Magnetotransport in Weyl semimetal nanowires

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

Superconductivity Provides Access to the Chiral Magnetic Effect of an Unpaired Weyl Cone

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