Disorder-induced nonlinear Hall effect with time-reversal symmetry

Du, Z. Z.; Wang, C. M.; Li, Shuai; Lu, Hai-Zhou; Xie, Xiaoming

doi:10.1038/s41467-019-10941-3

Cited by 210 publications

(124 citation statements)

References 27 publications

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“…2 B ), consistent with a linear dependence on the scattering time (

) and thus the nonequilibrium nature of the effect. As recently emphasized ( 40 ), this dependence sharply discriminates this effect from disorder-induced contributions.…”

Section: Resultssupporting

confidence: 58%

Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

Dzsaber

Yan

Taupin

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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Nontrivial topology in condensed-matter systems enriches quantum states of matter to go beyond either the classification into metals and insulators in terms of conventional band theory or that of symmetry-broken phases by Landau’s order parameter framework. So far, focus has been on weakly interacting systems, and little is known about the limit of strong electron correlations. Heavy fermion systems are a highly versatile platform to explore this regime. Here we report the discovery of a giant spontaneous Hall effect in the Kondo semimetal Ce3Bi4Pd3 that is noncentrosymmetric but preserves time-reversal symmetry. We attribute this finding to Weyl nodes—singularities of the Berry curvature—that emerge in the immediate vicinity of the Fermi level due to the Kondo interaction. We stress that this phenomenon is distinct from the previously detected anomalous Hall effect in materials with broken time-reversal symmetry; instead, it manifests an extreme topological response that requires a beyond-perturbation-theory description of the previously proposed nonlinear Hall effect. The large magnitude of the effect in even tiny electric and zero magnetic fields as well as its robust bulk nature may aid the exploitation in topological quantum devices.

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“…2 B ), consistent with a linear dependence on the scattering time (

) and thus the nonequilibrium nature of the effect. As recently emphasized ( 40 ), this dependence sharply discriminates this effect from disorder-induced contributions.…”

Section: Resultssupporting

confidence: 58%

Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

Dzsaber

Yan

Taupin

et al. 2021

Proc. Natl. Acad. Sci. U.S.A.

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“…Nevertheless, we find that the quantum theory does not modify the scaling law because the scaling behavior is determined by the order of the disorder-dependence of each mechanism 9 , 38 , while so far we find that the disorder dependence is the same for the semiclassical and quantum theories.…”

Section: Resultsmentioning

confidence: 57%

Quantum theory of the nonlinear Hall effect

Wang

Sun

et al. 2021

Nat Commun

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The nonlinear Hall effect is an unconventional response, in which a voltage can be driven by two perpendicular currents in the Hall-bar measurement. Unprecedented in the family of the Hall effects, it can survive time-reversal symmetry but is sensitive to the breaking of discrete and crystal symmetries. It is a quantum transport phenomenon that has deep connection with the Berry curvature. However, a full quantum description is still absent. Here we construct a quantum theory of the nonlinear Hall effect by using the diagrammatic technique. Quite different from nonlinear optics, nearly all the diagrams account for the disorder effects, which play decisive role in the electronic transport. After including the disorder contributions in terms of the Feynman diagrams, the total nonlinear Hall conductivity is enhanced but its sign remains unchanged for the 2D tilted Dirac model, compared to the one with only the Berry curvature contribution. We discuss the symmetry of the nonlinear conductivity tensor and predict a pure disorder-induced nonlinear Hall effect for point groups C3, C3h, C3v, D3h, D3 in 2D, and T, Td, C3h, D3h in 3D. This work will be helpful for explorations of the topological physics beyond the linear regime.

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“…Along with the BCD-induced nonlinear thermal Hall current ( j Q T ) a given in Eq. 5, there exist other secondorder contributions such as disorder-mediated contributions [20,54] (nonlinear side jump and skew-scattering contributions), scattering time-independent contributions [20,55] and Berry-curvature-independent contributions [17]. The BCDinduced contributions to the nonlinear response dfunctions discussed in this work are dominant in TR-invariant systems in which the Berry-curvature-independent contribution, which is nonzero only in the absence of both TRS and IS, discussed in Ref.…”

mentioning

confidence: 78%

“…In addition, experimentally, the external, disorder-mediated, side-jump, and skew-scattering contributions to the nonlinear response functions can be separated from the BCD-induced contributions using a scaling formula as shown in Ref. [54]. The Wiedemann-Franz law and Mott relation derived in this paper thus apply only to the BCD-induced anomalous part of the nonlinear response functions which are nonzero in TR symmetric systems and leave out the contributions that take nonzero values only in systems with broken TRS.…”

mentioning

confidence: 99%

Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

Zeng

Nandy

Tewari

2020

Phys. Rev. Research

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In a series of recent papers, anomalous Hall and Nernst effects have been theoretically discussed in the nonlinear regime and have seen some early success in experiments. In this paper, by utilizing the role of Berry curvature dipole, we derive the fundamental mathematical relations between the anomalous electric and thermoelectric transport coefficients in the nonlinear regime. The formulas we derive replace the celebrated Wiedemann-Franz law and Mott relation of anomalous thermoelectric transport coefficients defined in the linear response regime. In addition to fundamental and testable new formulas, an important by-product of this work is the prediction of nonlinear anomalous thermal Hall effect which can be observed in experiments.

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Disorder-induced nonlinear Hall effect with time-reversal symmetry

Cited by 210 publications

References 27 publications

Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

Giant spontaneous Hall effect in a nonmagnetic Weyl–Kondo semimetal

Quantum theory of the nonlinear Hall effect

Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

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