Anomalous Nernst and thermal Hall effects in tilted Weyl semimetals

Ferreirós, Yago; Zyuzin, A. A.; Bardarson, Jens H.

doi:10.1103/physrevb.96.115202

Cited by 92 publications

(88 citation statements)

References 74 publications

(100 reference statements)

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“…In the low-temperature limit k B T /µ 1 the second term is negligible and κ THE reduces to previously obtained results 25 . Additionally, we observe that in this limit the Wiedemann-Franz law…”

Section: Thermoelectric Transport Coefficients By Subtractionsupporting

confidence: 83%

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Magnetovortical and thermoelectric transport in tilted Weyl metals

Wurff

Stoof

2019

Phys. Rev. B

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We investigate how tilting affects the off-diagonal, dissipationless response of a pair of chirally imbalanced Weyl cones to various external perturbations. The pair of chirally imbalanced Weyl cones can be described as a chiral electron fluid, that can flow with a velocity field that contains vorticity. Upon applying an external magnetic field, we obtain the so-called magnetovortical linear-response matrix that relates electric and heat currents to the magnetic field (chiral magnetic effect) and the vorticity (chiral vortical effect). We show how this reponse matrix becomes anisotropic upon tilting the cones and determine its non-analytic long-wavelength behavior, as well as the corresponding AC response. In addition, we discuss how the tilt dependence of the electronic (or density-density) susceptibility introduces anisotropy in the dispersion relation of the sound-like excitations in the fluid of chiral fermions, which are known as chiral magnetic waves. In the case of an externally applied electric field and a temperature gradient, we find a Hall-like response in the electric and heat current density that is perpendicular to both the tilting direction and the perturbations. As the tilting direction forms a time-reversal symmetry breaking vector, a non-zero (heat) orbital magnetization manifests itself. We calculate the magnetization currents microscopically and elucidate how to subtract these contributions to obtain the transport currents.a In principle, there can be different Fermi velocities in all three directions. This anisotropy can however always be transformed away by an appropriate scaling of the momenta.

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Section: Thermoelectric Transport Coefficients By Subtractionsupporting

confidence: 83%

“…(10). Additionally, the anomalous Nernst effect becomes non-zero, even in a linear model 25,46 . The off-diagonal, explicitly tilt-dependent part of the response matrix for the total electric and heat current densities can then be written as…”

Section: Thermoelectric Transportmentioning

confidence: 99%

Magnetovortical and thermoelectric transport in tilted Weyl metals

Wurff

Stoof

2019

Phys. Rev. B

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“…The Weyl nodes in a WSM act as a source or sink of the Berry curvature, which acts as a magnetic field in the momentum space [28][29][30][31] . This finite Berry phase induces several very interesting electronic transport and optical phenomena, including the the anomalous quantum Hall (AQH) effect 28, . Another intriguing aspect of optical activity in WSM is its connection to axion electrodynamics 53,54 , which modifies the Maxwell's equations.…”

Section: Introductionmentioning

confidence: 99%

Giant optical activity and Kerr effect in type-I and type-II Weyl semimetals

2019

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We explore optical activity in thin films and bulk of type-I and type-II Weyl semimetals (WSM), and demonstrate the existence of a giant Kerr effect in both. In time-reversal symmetry broken WSM thin films, the polarization rotation is caused by the optical Hall conductivity including the anomalous Hall term. The Kerr angle is found to be ∝ Q/ω, with Q and ω being the Weyl node separation and the optical frequency, respectively. In contrast, the optical activity in the bulk WSM is dominated by axion electrodynamics, which persists even in the Pauli blocked regime of no optical transitions. In bulk WSM, Q acts analogous to the magnetization in magnetic materials, leading to large 'polar Kerr effect' (linear in Q) when light is incident on WSM surface without Fermi arc states, and the 'Voigt effect' (quadratic in Q), when light is incident on surface with Fermi arc states.arXiv:1903.08590v1 [cond-mat.mes-hall]

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“…The appearance of T-breaking WPs induced by such a magnetic exchange change has never been observed in other materials. It provides an ideal material not only for investigating the relation between magnetic order and band topology, but also demonstrates a system in realization of various topological states via manipulating the magnetic exchange.Interestingly, the FM WSM provides the opportunities to study other exotic physics, such as the anomalous Nernst and thermal Hall effects, etc [50][51][52][53]. .…”

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confidence: 99%