Highly Tunable Nonlinear Hall Effects Induced by Spin-Orbit Couplings in Strained Polar Transition-Metal Dichalcogenides

Zhou, Benjamin T.; Zhang, Cheng-Ping; Law, K. T.

doi:10.1103/physrevapplied.13.024053

Cited by 65 publications

(27 citation statements)

References 42 publications

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“…B is allowed by symmetry in noncentrosymmetric crystals and surfaces having certain point groups (see below). For example, in materials with a polar axis, large B has been found due to the presence of tilted Dirac or Weyl points in the band structure (6,(27)(28)(29)(30)(31)(32)(33)(34)(35). When B is nonzero and in the presence of an applied electric field, the imbalance in the probability of occupation f (k) = f (−k) leads to a net Berry curvature, which then induces a second-order anomalous current in the transverse direction.…”

Section: Significancementioning

confidence: 99%

Terahertz detection based on nonlinear Hall effect without magnetic field

Zhang

2021

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

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We propose a method for broadband long-wavelength photodetection using the nonlinear Hall effect in noncentrosymmetric quantum materials. The inherently quadratic relation between transverse current and input voltage at zero magnetic field is used to rectify the incident terahertz or infrared electric field into a direct current, without invoking any diode. Our photodetector operates at zero external bias with fast response speed and has zero threshold voltage. Remarkably, the intrinsic current responsivity due to the Berry curvature mechanism is a material property independent of the incident frequency or the scattering rate, which can be evaluated from first-principles electronic structure calculations. We identify the Weyl semimetal NbP and ferroelectric semiconductor GeTe for terahertz/infrared photodetection with large current responsivity without external bias.

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Section: Significancementioning

confidence: 99%

Terahertz detection based on nonlinear Hall effect without magnetic field

Zhang

2021

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

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“…Unlike the anomalous Hall effect in the linear-response regime [3][4][5][6][7][8][9][10][11][12][13][14][15], the nonlinear anomalous Hall effect (NLAHE) does not require broken time-reversal symmetry (TRS) but needs inversion symmetry (IS) breaking. The Berry curvature dipole (BCD), which is defined as the first-order moment of the Berry curvature over the occupied states, is found to be responsible for NLAHE [16][17][18][19][20][21]. The importance of electron-electron interactions for the external magnetic field dependence of the nonlinear conductivities has been pointed out [22,23].…”

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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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“…(Throughout this work, we consider transport in the absence of magnetic field.) Nevertheless, when the inversion symmetry is broken, there could be a second-order Hall response [8][9][10][11][12][13][14][15][16][17]. Sodemann and Fu [8] showed that one contribution to this effect can be attributed to the dipole moment of Berry curvature over the occupied states.…”

Section: Introductionmentioning

confidence: 99%

Berry connection polarizability tensor and third-order Hall effect

et al. 2022

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One big achievement in modern condensed matter physics is the recognition of the importance of various band geometric quantities in physical effects. As prominent examples, Berry curvature and Berry curvature dipole are connected to the linear and the second-order Hall effects, respectively. Here, we show that the Berry connection polarizability (BCP) tensor, as another intrinsic band geometric quantity, plays a key role in the third-order Hall effect. Based on the extended semiclassical formalism, we develop a theory for the third-order charge transport and derive explicit formulas for the third-order conductivity. Our theory is applied to the two-dimensional (2D) Dirac model to investigate the essential features of BCP and the third-order Hall response. We further demonstrate the combination of our theory with the first-principles calculations to study a concrete material system, the monolayer FeSe. Our work establishes a foundation for the study of third-order transport effects, and reveals the third-order Hall effect as a tool for characterizing a large class of materials and for probing the BCP in band structure.

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Highly Tunable Nonlinear Hall Effects Induced by Spin-Orbit Couplings in Strained Polar Transition-Metal Dichalcogenides

Cited by 65 publications

References 42 publications

Terahertz detection based on nonlinear Hall effect without magnetic field

Terahertz detection based on nonlinear Hall effect without magnetic field

Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

Berry connection polarizability tensor and third-order Hall effect

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