Nonlocal transport in Weyl semimetals in the hydrodynamic regime

Gorbar, É. V.; Miransky, V. A.; Shovkovy, Igor; Sukhachov, P. O.

doi:10.1103/physrevb.98.035121

Cited by 25 publications

(14 citation statements)

References 69 publications

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“…We here consider a WSM with Hubbard repulsion of strength U > 0 in the collisionless regime, taking T = 0. Note that transport properties in the hydrodynamic regime have been studied by several authors [55][56][57].…”

Section: On-site Hubbard Interactionmentioning

confidence: 99%

Charge-spin response and collective excitations in Weyl semimetals

Ghosh

Timm

2019

Phys. Rev. B

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Weyl semimetals are characterized by unconventional electromagnetic response. We present analytical expressions for all components of the frequency-and wave-vector-dependent charge-spin linear-response tensor of Weyl fermions. The spin-momentum locking of the Weyl Hamiltonian leads to a coupling between charge and longitudinal spin fluctuations, while transverse spin fluctuations remain decoupled from the charge. A real Weyl semimetal with multiple Weyl nodes can show this charge-spin coupling in equilibrium if its crystal symmetry is sufficiently low. All Weyl semimetals are expected to show this coupling if they are driven into a non-equilibrium stationary state with different occupations of Weyl nodes, for example by exploiting the chiral anomaly. Based on the response tensor, we investigate the low-energy collective excitations of interacting Weyl fermions. For a local Hubbard interaction, the charge-spin coupling leads to a dramatic change of the zero-sound dispersion: its velocity becomes independent of the interaction strength and the chemical potential and is given solely by the Fermi velocity. In the presence of long-range Coulomb interactions, the coupling transforms the plasmon modes into spin plasmons. For real Weyl semimetals with multiple Weyl nodes, the collective modes are strongly affected by the presence of parallel static electric and magnetic fields, due to the chiral anomaly. In particular, the zero-sound frequency at fixed momentum and the spin content of the spin plasmons go through cusp singularities as the chemical potential of one of the Weyl cones is tuned through the Weyl node. We discuss possible experiments that could provide smoking-gun evidence for Weyl physics. arXiv:1810.12560v2 [cond-mat.mes-hall]

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Section: On-site Hubbard Interactionmentioning

confidence: 99%

Charge-spin response and collective excitations in Weyl semimetals

Ghosh

Timm

2019

Phys. Rev. B

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“…[34][35][36][37]. In addition to the surface states, the nontrivial Z 2 topology is manifested also in the motion of electron wavepackets in these materials [38].…”

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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“…Nonlocal transport properties in TRSB Weyl metals have been reported before [40][41][42][43][44] . However, to our best knowledge, such nonlocal effects are limited in the mesoscopic scale related to the diffusive origin 40 , or they occur from the combination of the topological origin and others (e.g., artificial potential wall 41 or electron-electron interaction [42][43][44] ). In this study, we show that nonlocal transport phenomena are allowed in the macroscopic level within the axion electrodynamics.…”

Section: Introductionmentioning

confidence: 59%

Nonlocal transport phenomena in Weyl metals beyond the mesoscopic scale

Yang,

Kim

2021

Preprint

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Nonlocal transport in Weyl semimetals in the hydrodynamic regime

Cited by 25 publications

References 69 publications

Charge-spin response and collective excitations in Weyl semimetals

Charge-spin response and collective excitations in Weyl semimetals

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

Nonlocal transport phenomena in Weyl metals beyond the mesoscopic scale

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