Quantum third-order nonlinear Hall effect of a four-terminal device with time-reversal symmetry

Wei, Miaomiao; Xiang, Longjun; Wang, Luyang; Xu, Fuming; Wang, Jian

doi:10.1103/physrevb.106.035307

Cited by 9 publications

(4 citation statements)

References 34 publications

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“…This is indeed the case of lots of current (photocurrent) measurements 36 , 62 – 64 to verify the predictions based on the bulk formulation 20 , 65 , 66 , where the symmetry plays a pivotal role to probe the quantum geometry of Bloch electrons. Furthermore, in the ballistic transport regime, the quantum geometric information may also be extracted by manipulating the symmetry 67 , 68 .…”

Section: Discussionmentioning

confidence: 99%

Quantifying the photocurrent fluctuation in quantum materials by shot noise

Xiang,

Jin,

Wang

2024

Nat Commun

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The DC photocurrent can detect the topology and geometry of quantum materials without inversion symmetry. Herein, we propose that the DC shot noise (DSN), as the fluctuation of photocurrent operator, can also be a diagnostic of quantum materials. Particularly, we develop the quantum theory for DSNs in gapped systems and identify the shift and injection DSNs by dividing the second-order photocurrent operator into off-diagonal and diagonal contributions, respectively. Remarkably, we find that the DSNs can not be forbidden by inversion symmetry, while the constraint from time-reversal symmetry depends on the polarization of light. Furthermore, we show that the DSNs also encode the geometrical information of Bloch electrons, such as the Berry curvature and the quantum metric. Finally, guided by symmetry, we apply our theory to evaluate the DSNs in monolayer GeS and bilayer MoS2 with and without inversion symmetry and find that the DSNs can be larger in centrosymmetric phase.

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Section: Discussionmentioning

confidence: 99%

Quantifying the photocurrent fluctuation in quantum materials by shot noise

Xiang,

Jin,

Wang

2024

Nat Commun

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“…Nonlinear Hall effect [1][2][3][4] is the emerging frontier of condensed matter research [5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Prominent nonlinear Hall phenomena include the second order Hall effect discovered in WTe 2 [19][20][21] as well as TaIrTe 4 [22], and the third order Hall effect verified in T d -MoTe 2 [23], etc.…”

Section: Introductionmentioning

confidence: 99%

“…However, theoretical interpretation of nonlinear Hall effects is mostly based on the semiclassical Boltzmann approach. In terms of the second [13] and third order [14] conductances expressed in nonequilibrium Green's function (NEGF), quantum transport properties of nonlinear Hall effects have been discussed, but only in the dc case. Therefore, a nonlinear ac transport theory at low frequency is on demand and definitely helps to comprehend nonlinear Hall effects.…”

Section: Introductionmentioning

confidence: 99%

Quantum nonlinear ac transport theory at low frequency

Zhang,

Xu,

Chen

et al. 2023

New J. Phys.

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Based on the nonequilibrium Green's function (NEGF), we develop a quantum nonlinear theory to study time-dependent ac transport properties in the low frequency and nonlinear bias voltage regimes. By expanding NEGF in terms of time to the linear order in Wigner representation, we can explicitly include the time-dependent self-consistent Coulomb interaction induced by external ac bias. Hence this theory automatically satisfies two basic requirements, i.e., current conservation and gauge invariance. Within this theory, the nonlinear ac current can be evaluated at arbitrarily large bias voltages under the low frequency limit. In addition, we obtain the expression of time-dependent current under the wide band limit and derive the relation between the nonlinear electrochemical capacitance and the bias voltage, which are very useful in predicting the dynamical properties of nanoelectronic devices. This quantum theory can be directly combined with density functional theory to investigate time-dependent ac transport from first-principles calculation.

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“…SMT is suitable for describing coherent nonlinear transport in multiterminal systems. 22,68 We focus on the Hall noise spectrum, which can be simultaneously probed with the Hall currents in one measurement. Characteristics of the linear and second-order Hall noises will be discussed for the following model.…”

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confidence: 99%

Quantum Fluctuation of the Quantum Geometric Tensor and Its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems

Wei

Wang²,

Wang³

et al. 2023

Phys. Rev. Lett.

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In time-reversal invariant systems, all charge Hall effects predicted so far are extrinsic effects due to the dependence on the relaxation time. We explore intrinsic Hall signatures by studying quantum noise spectrum of the Hall current in time-reversal invariant systems, and discover intrinsic thermal Hall noises in both linear and nonlinear regimes. As the band geometric characteristics, quantum geometric tensor and Berry curvature play critical roles in various Hall effects, so are their quantum fluctuations. It is found that the thermal Hall noise in linear order of the electric field is purely intrinsic, and the second-order thermal Hall noise has both intrinsic and extrinsic contributions. In particular, the intrinsic part of the second-order thermal Hall noise is a manifestation of the quantum fluctuation of quantum geometric tensor, which widely exists as long as Berry curvature is nonzero. These intrinsic thermal Hall noises provide direct measurable means to band geometric information, including Berry curvature related quantities and quantum fluctuation of quantum geometric tensor.

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Quantum third-order nonlinear Hall effect of a four-terminal device with time-reversal symmetry

Cited by 9 publications

References 34 publications

Quantifying the photocurrent fluctuation in quantum materials by shot noise

Quantifying the photocurrent fluctuation in quantum materials by shot noise

Quantum nonlinear ac transport theory at low frequency

Quantum Fluctuation of the Quantum Geometric Tensor and Its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems

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