Phonon-limited transport and Fermi arc lifetime in Weyl semimetals

Buccheri, Francesco; Martino, Alessandro De; Pereira, Rodrigo G.; Brouwer, Piet W.; Egger, Reinhold

doi:10.1103/physrevb.105.085410

Cited by 9 publications

(3 citation statements)

References 111 publications

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“…Since the Berry curvature acts on the semiclassical trajectories of the electrons similarly to a magnetic field [70], a discontinuity bears many resem-blances with a magnetic field jump in a graphene layer: in particular, the interface states can be seen as threedimensional analogues of the "snake states" [71]. Interestingly, the chirality of the interface arcs implies that they are to some extent robust to backscattering arising from the interaction with, e.g., phonons, while dissipation of the current in the bulk modes is generally possible and most prominent for states in the vicinity of the merging points with the bulk Fermi surface [63]. It will be interesting to extend the analysis of this paper to related models, including type-II, multi-Weyl and triplepoint Weyl semimetals [72][73][74][75].…”

Section: Discussionmentioning

confidence: 99%

“…For θ = 0, we impose the boundary conditions [62] on the wave function Ψ, for every value of x. These boundary conditions do not break inversion symmetry [63] and imply that the charge current vanishes across the surfaces at y = 0 and y = L. The wave function reduces then to the eigenvectors ξ ± of the Pauli matrix σ x . For simplicity, we consider the large-L limit.…”

Section: A Bike Lanesmentioning

confidence: 99%

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Transport, refraction and interface arcs in junctions of Weyl semimetals

Buccheri,

Egger,

De Martino

2022

Preprint

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We study the low-energy single-electron transport across a junction of two magnetic Weyl semimetals, in which the anisotropy axes are tilted one respect to the other. Using a two-band model with a potential step, we compute the transmission factor for normal and Klein tunneling and the refraction properties of the interface as a function of the tilt angle. We show that the interface acts as a beam splitter, separating electrons with different chiralities. We also characterize interface states, only appearing for finite tilt angle, which connect the projection of the Fermi surfaces on the two sides of the junction, and we discuss transport effects due to their interplay with Fermi arcs.

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Section: Discussionmentioning

confidence: 99%

Section: A Bike Lanesmentioning

confidence: 99%

Transport, refraction and interface arcs in junctions of Weyl semimetals

Buccheri,

Egger,

De Martino

2022

Preprint

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“…which ensures that the component of the current density normal to the boundary vanishes [51,52]. The matrix B depends on a phenomenological boundary angle α,…”

Section: B Boundary Modes For Semi-infinite Geometrymentioning

confidence: 99%

Two-dimensional Dirac fermions in a mass superlattice

et al. 2023

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We study two-dimensional (2D) Dirac fermions in the presence of a periodic mass term alternating between positive and negative values along one direction. This scenario could be realized for a graphene monolayer or for the surface states of topological insulators. The low-energy physics is governed by chiral Jackiw-Rebbi modes propagating along zero-mass lines, with the energy dispersion of the Bloch states given by an anisotropic Dirac cone. By means of the transfer matrix approach, we obtain exact results for a piece-wise constant mass superlattice. On top of Bloch states, two different classes of boundary and/or interface modes can exist in a finite-size geometry or in a nonuniform electrostatic potential, respectively. We compute the dispersion relation for both types of boundary and interface modes, which originate either from states close to the superlattice Brillouin zone (BZ) center or, via a Lifshitz transition, from states near the BZ boundary. In the presence of a potential step, we predict that the interface modes, the Bloch wave functions, and the electrical conductance will sensitively depend on the step position relative to the mass superlattice.

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