Generating a Topological Anomalous Hall Effect in a Nonmagnetic Conductor: An In-Plane Magnetic Field as a Direct Probe of the Berry Curvature

Cullen, James H.; Bhalla, Pankaj; Marcellina, Elizabeth; Hamilton, A. R.; Culcer, Dimitrie

doi:10.1103/physrevlett.126.256601

Cited by 45 publications

(20 citation statements)

References 91 publications

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“…The band geometric properties of quantum materials, such as the Berry curvature and the orbital magnetic moment (OMM) play a fundamental role in the linear and nonlinear (NL) transport and optical properties 1,2 . Some prominent examples, within the linear response, include phenomena like anomalous Hall effect (AHE) [3][4][5] , valley Hall effect 6 , magnetic field induced -AHE 7 , intrinsic Hall effect [8][9][10] , and magnetoresistance 11,12 . Several very exciting NL Hall effects and other NL transport phenomena are also being actively explored [13][14][15][16][17][18][19][20][21][22] .…”

Section: Introductionmentioning

confidence: 99%

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Lahiri,

Bhore,

Das

et al. 2021

Preprint

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We investigate the effect of band geometric quantities on nonlinear magnetoresistivity, which dictates the quadratic dependence of the nonlinear voltage generated by the applied current. We propose that the interplay of the Berry curvature, the orbital magnetic moment and the Lorentz force can induce a finite nonlinear resistivity in two dimensional systems in presence of a perpendicular magnetic field. The induced nonlinear magnetoresistivity scales linearly with the magnetic field and is purely quantum mechanical in origin. Our proposed novel transport signature can be used as an additional experimental probe for the geometric quantities in intrinsically time reversal symmetric systems.

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Section: Introductionmentioning

confidence: 99%

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Lahiri,

Bhore,

Das

et al. 2021

Preprint

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“…Recent years have witnessed a flurry of interest in holes in III-V zinc-blende semiconductors such as GaAs, which have a spin-3/2, enabling physics that is impossible in spin-1/2 electron systems. Hole systems have been synthesised to high quality exhibiting very large mobilities, display strong topological effects [43][44][45][46][47][48][49][50][51][52][53] and are intensively studied for all-electrical quantum computing applications [54][55][56][57]. Until recently inversion-breaking tetrahedral-symmetry terms were believed to be negligible for holes [58].…”

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confidence: 99%

Quadrupolar photovoltaic effect in the terahertz range in a two-dimensional spin-3/2 hole system

Farokhnezhad¹,

Coish²,

Asgari³

et al. 2022

Preprint

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We identify a strong photovoltaic response due to the non-linear optical transition between heavy and light hole sub-bands enabled by T d -symmetry in a quantum well, which we term the quadrupolar photovoltaic effect (QPE). The photovoltaic current exhibits a strong resonance in the vicinity of the heavy hole-light hole splitting, with a magnitude governed by the momentum relaxation time, which can reach nanoseconds in GaAs holes. Since the heavy hole-light hole splitting can be tuned from a few meV to nearly 100 meV the QPE could serve as the basis for a terahertz photo-detector. We discuss strategies for experimental observation and device applications.

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“…This symmetry breaking is strong in zincblende crystals such as GaAs, and is associated with the spinorbit interaction, which is particularly large in spin-3/2 hole systems. The effective spin-3/2 makes holes qualitatively different from spin-1/2 electrons [23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40], endowing them with unconventional properties such as a densitydependent in-plane g-factor [41,42], a strong anisotropy in both of the longitudinal conductivity and the Hall coefficient R H [43,44], a non-monotonic Rashba spin-orbit coupling [45], a planar anomalous Hall effect [46], and superconductivity [47]. Until recently tetrahedral T d symmetry terms were believed to be negligible in hole systems [25], yet a more careful evaluation has demonstrated their size to be significant [48], so that sizable second-order electrical responses should be possible in hole systems.…”

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confidence: 99%

Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes

Sina¹,

Culcer²

2022

Preprint

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We identify a sizable non-linear anomalous Hall effect in the electrical response of spin-3/2 heavy holes in zincblende semiconductor nanostructures. The response is driven by a quadrupole interaction with the electric field enabled by T d -symmetry. This interaction, until recently believed to be negligible, reflects inversion symmetry breaking and in two dimensions results in an electricfield dependent correction to the in-plane g-factor. The effect can be observed in state-of-the-art heterostructures, either via magnetic doping or by using a vector magnet, where even for small perpendicular magnetic fields it is comparable in magnitude to topological materials.

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Generating a Topological Anomalous Hall Effect in a Nonmagnetic Conductor: An In-Plane Magnetic Field as a Direct Probe of the Berry Curvature

Cited by 45 publications

References 91 publications

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Berry curvature induced nonlinear magnetoresistivity in two dimensional systems

Quadrupolar photovoltaic effect in the terahertz range in a two-dimensional spin-3/2 hole system

Non-linear anomalous Hall effect of two-dimensional spin-3/2 heavy holes

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