Magnus Hall Effect

Papaj, Michał; Fu, Liang

doi:10.1103/physrevlett.123.216802

Cited by 54 publications

(50 citation statements)

References 49 publications

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“…We note that our result is qualitatively different from that in Ref. [29], since the former describes the transport in the hydrodynamic regime and includes an anomalous response to E ⊥ ∇μ as well as the correction due to the magnetization current. The most significant consequence of our theory is that the combination of the GVE and the viscosity effect gives rise to an unprecedented current flow in finite size systems, which is unexplored so far.…”

contrasting

confidence: 98%

“…Similarly, from our theory, we can calculate an anomalous current under chemical potential bias, which is proportional to the product of E and ∇μ and described by the Berry curvature dipole as in the case of QNHE. This phenomenon is in contrast to the Magnus Hall effect, which has been formulated in the ballistic regime [29] and describes the Hall current responding to E ∇μ. We note that our result is qualitatively different from that in Ref.…”

mentioning

confidence: 90%

“…We predict that this anomalous effect, together with the viscosity effect, causes a novel anomalous hydrodynamic flow, that is, asymmetric Poiseuille flow and anomalous edge current. Furthermore, our theory gives a clear description of the hydrodynamic counterpart of a variety of anomalous nonlinear electric and thermoelectric transport phenomena, such as the quantum nonlinear Hall effect (QNHE) [28] and the magnus Hall effect [29]. These responses have been formulated well in the ohmic or the ballistic regime, but not in the hydrodynamic regime so far.…”

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confidence: 99%

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Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Toshio

Takasan

Kawakami

2020

Phys. Rev. Research

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In highly conductive metals with sufficiently strong momentum-conserving scattering, the electron momentum is regarded as a long-lived quantity, whose dynamics is described by an emergent hydrodynamic theory. In this paper, we develop an electron hydrodynamic theory for noncentrosymmetric metals, where a novel class of electron fluids is realized by lowering crystal symmetries and the resulting geometrical effects. The obtained hydrodynamic equation suggests a nontrivial analogy between electron fluids in noncentrosymmetric metals and chiral fluids in vacuum, and predicts novel hydrodynamic transport phenomena, that is, asymmetric Poiseuille flow and anomalous edge current. Our theory also gives a hydrodynamic description of the counterpart of various anomalous transport phenomena such as the quantum nonlinear Hall effect. Furthermore, we give a symmetry consideration on the hydrodynamic equation and propose several experimental setups to realize such anomalous hydrodynamic transport in the existing hydrodynamic materials, including bilayer graphene and Weyl semimetals.

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confidence: 98%

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confidence: 90%

mentioning

confidence: 99%

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Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Toshio

Takasan

Kawakami

2020

Phys. Rev. Research

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“…It has recently been proposed that the nonlinear Hall effect can also be used to probe the quantum critical point 3 , 6 , 17 and Néel vector orientation in antiferromagnets 18 . Various related phenomena have also been proposed, such as the gyrotropic Hall effect 30 , the Magnus Hall effect 31 , and the nonlinear Nernst effect 32 , 33 .…”

Section: Introductionmentioning

confidence: 99%

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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“…[80]. We also note that the conspiracy of strain and warping of the Fermi surface has been shown to yield various features [ 99 ] in the Magnus Hall response [ 100 ] appearing when built‐in electric fields are present.…”

Section: Berry Curvature Dipole In the Absence Of Spin–orbit Couplingmentioning

confidence: 93%

Nonlinear Hall Effect with Time‐Reversal Symmetry: Theory and Material Realizations

Ortix

2021

Adv Quantum Tech

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The appearance of a Hall conductance necessarily requires breaking of time‐reversal symmetry, either by an external magnetic field or by the internal magnetization of a material. As a second response, however, Hall dissipationless transverse currents can appear even in time‐reversal symmetric conditions provided the material is non‐centrosymmetric. This non‐linear Hall effect has a quantum origin: it is related to the geometric properties of the electronic wavefunctions and encoded in the dipole moment of the Berry curvature. Here, the general theory underpinning this effect is reviewed and various material platforms where non‐linear Hall transverse responses have been found are discussed. On the theoretical front, the link between the non‐linear Hall effect and the Berry curvature dipole is discussed using Boltzmann transport theory. On the material front, different platforms, including topological crystalline insulators, transition metal dichalcogenides, graphene, and Weyl semimetals are reviewed.

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Magnus Hall Effect

Cited by 54 publications

References 49 publications

Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Quantum theory of the nonlinear Hall effect

Nonlinear Hall Effect with Time‐Reversal Symmetry: Theory and Material Realizations

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