Nonreciprocal thermal and thermoelectric transport of electrons in noncentrosymmetric crystals

Nakai, Ryota; Nagaosa, Naoto

doi:10.1103/physrevb.99.115201

Cited by 29 publications

(18 citation statements)

References 38 publications

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“…Similar responses are also discussed in dissipative (ohmic) regime in Ref. [42]. 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.…”

supporting

confidence: 75%

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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supporting

confidence: 75%

Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Toshio

Takasan

Kawakami

2020

Phys. Rev. Research

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“…The BCDinduced contributions to the nonlinear response dfunctions discussed in this work are dominant in TR-invariant systems in which the Berry-curvature-independent contribution, which is nonzero only in the absence of both TRS and IS, discussed in Ref. [24] vanishes. Moreover, the Berry-curvature-induced contribution independent of scattering time which requires the breaking of TRS to be nonzero also vanishes in TR symmetric systems where the BCD-induced contributions are dominant.…”

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confidence: 66%

“…The importance of electron-electron interactions for the external magnetic field dependence of the nonlinear conductivities has been pointed out [22,23]. Motivated by the idea of NLAHE, another second-order response function, nonlinear anomalous Nernst effect (NLANE), has been predicted in transitionmetal dichalcogenides (TMDCs) [24][25][26]. Interestingly, these nonlinear responses could manifest distinctive behaviors and have become promising tools for understanding novel materials with low crystalline symmetry in experiments.…”

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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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“…To illustrate the generality of our formalism, we will now consider a sub-leading density matrix that is independent of τ and which an intrinsic band structure effect, described in Eq. (17). This leads to a non-linear Hall vector with xcomponent given by ([χ H y ] INT = 0):…”

Section: Symmetry Constraints On the Non-linearmentioning

confidence: 99%

Symmetry and quantum kinetics of the nonlinear Hall effect

2019

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We argue that the static non-linear Hall conductivity can always be represented as a vector in two-dimensions and as a pseudo-tensor in three-dimensions independent of its microscopic origin. In a single band model with a constant relaxation rate this vector or tensor is proportional to the Berry curvature dipole 5 . Here, we develop a quantum Boltzmann formalism to second order in electric fields. We find that in addition to the Berry Curvature Dipole term, there exist additional disorder mediated corrections to the non-linear Hall tensor that have the same scaling in impurity scattering rate. These can be thought of as the non-linear counterparts to the sidejump and skew-scattering corrections to the Hall conductivity in the linear regime. We illustrate our formalism by computing the different contributions to the non-linear Hall conductivity of two-dimensional tilted Dirac fermions. PACS numbers: 73.43.-f, 03.65.Vf, 72.15.-v, 72.20.My Introduction-Two independent experimental studies have recently reported the discovery 1,2 of the time-reversalinvariant non-linear Hall effect (NLHE) in layered transition metal dichalcogenides. Unlike the ordinary Hall effect, the NLHE can occur in time-reversal-invariant metals lacking inversion symmetry 3-6 . Building upon previous studies 3,4 a simple semiclassical theory of this effect was developed in Ref. 5 based on the notion of the Berry curvature dipole (BCD): a tensorial object measuring the average gradient of the Berry curvature over the occupied states. In a single band model with a constant relaxation rate the non-linear conductivity of a time reversal invariant metal was found to be proportional to the BCD. Several subsequent studies have addressed the NLHE and related effects in a variety of contexts and material platforms 7-17 .

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Nonreciprocal thermal and thermoelectric transport of electrons in noncentrosymmetric crystals

Cited by 29 publications

References 38 publications

Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Anomalous hydrodynamic transport in interacting noncentrosymmetric metals

Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

Symmetry and quantum kinetics of the nonlinear Hall effect

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