Disorder-induced nonlinear Hall effect with time-reversal symmetry

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

doi:10.48550/arxiv.1812.08377

Cited by 2 publications

(2 citation statements)

References 27 publications

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“…3 for ∆U = 10 meV. Our result demonstrates explicitly that Magnus Hall effect does not rely on Berry curvature dipole [26,[38][39][40][41][42][43] or the presence of skew scattering [44][45][46][47] that are necessary conditions for nonlinear Hall effect.…”

Section: Gate Gatementioning

confidence: 59%

Magnus Hall Effect

Papaj

2019

Phys. Rev. Lett.

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A new type of linear response Hall effect is predicted in time-reversal-invariant systems with builtin electric field at zero magnetic field. The Hall response results from a quantum Magnus effect where a self-rotating Bloch electron wavepacket moving under electric field develops an anomalous velocity in the transverse direction. We show that in the ballistic limit the Magnus Hall conductance measures the distribution of Berry curvature on the Fermi surface.

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Section: Gate Gatementioning

confidence: 59%

Magnus Hall Effect

Papaj

2019

Phys. Rev. Lett.

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“…The non-linear Hall conductivity characterizing this effect is a product of the Berry Curvature Dipole (BCD), an intrinsic quantum geometric property of the material [3], and the scattering time, which is subject to sample quality variations. This poses the question of whether the BCD could be probed or defined in a more fundamental manner that is less intertwined with disorder effects [11][12][13][14].…”

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confidence: 99%

Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule

Matsyshyn

Sodemann

2019

Phys. Rev. Lett.

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Electrons moving in a Bloch band are known to acquire an anomalous Hall velocity proportional to the Berry curvature of the band [1] which is responsible for the intrinsic linear Hall effect in materials with broken time-reversal symmetry [2]. Here, we demonstrate that there is also an anomalous correction to the electron acceleration which is proportional to the Berry curvature dipole [3] and is responsible for the Non-linear Hall effect recently discovered in materials with broken inversion symmetry [4,5]. This allows us to uncover a deeper meaning of the Berry curvature dipole as a nonlinear version of the Drude weight that serves as a measurable order parameter for broken inversion symmetry in metals. We also derive a "Quantum Rectification Sum Rule" in time reversal invariant materials by showing that the integral over frequency of the rectification conductivity depends solely on the Berry connection and not on the band energies. The intraband spectral weight of this sum rule is exhausted by the Berry curvature dipole Drude-like peak, and the interband weight is also entirely controlled by the Berry connection. This sum rule opens a door to search for alternative photovoltaic technologies based on the Berry geometry of bands. We also describe the rectification properties of Weyl semimetals which are a promising platform to investigate these effects.

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Disorder-induced nonlinear Hall effect with time-reversal symmetry

Cited by 2 publications

References 27 publications

Magnus Hall Effect

Magnus Hall Effect

Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule

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