Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

Zeng, Chuanchang; Nandy, Snehasish; Tewari, Sumanta

doi:10.1103/physrevresearch.2.032066

Cited by 46 publications

(40 citation statements)

References 54 publications

(87 reference statements)

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“…The realm of diffusive transport phenomena is further enriched by the following second order responses apart from the above mentioned first order transport coefficients. The circular photogalvanic effect (CPGE) [56][57][58][59][60][61][62] and Berry curvature dipole (BCD) [63][64][65][66][67][68][69] mediated optical and electronic effects, respectively, emerge due to their unique response characteristics. To add even more, the concept of third order response was introduced very recently 70,71 .…”

Section: Introductionmentioning

confidence: 99%

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

Nag,

Kennes

2022

Preprint

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We propose and study generic multi-Weyl semimetal (mWSM) lattice Hamiltonians that break particle-hole symmetry. These models fall into two categories: model I (model II) where the gap and tilt terms are coupled (decoupled) can host type-I and type-II Weyl nodes simultaneously (separately) in a hybrid phase (type-I and type-II phases, respectively). We concentrate on the question of how anisotropy and non-linearity in the dispersions, gaps and tilt terms influence diffusive second order transport quantities namely, the circular photogalvanic effect (CPGE) and the Berry curvature dipole (BCD) as well as first order Magnus Hall effect (MHE) in the ballistic limit. The signatures of topological charges are clearly imprinted in the quantized CPGE response for the hybrid mWSM phase in model I. Such a quantization is also found in the type-I WSM phase for model II, however, the frequency profiles of the CPGE in these two cases is distinctively different owing to their different band dispersion irrespective of the identical topological properties. The contributions from the vicinity of Weyl nodes and away from the WNs are clearly manifested in the BCD response, respectively, for model I model II. The Fermi surface properties for the activated momentum lead to a few hallmark features on the MHE for both the models. Furthermore, we identify distinguishing signatures of the above responses for type-I, type-II and hybrid phases to provide an experimentally viable probe to differentiate these WSMs phases.

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Section: Introductionmentioning

confidence: 99%

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

Nag,

Kennes

2022

Preprint

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“…The conventional Hall effect can be thought of as connected to the zeroth order moment of the Berry curvature while the first order moment leads to the second harmonic generation in the Hall signal 10,11 . A growing number of generalizations to other non-linear phenomena have also been proposed [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26] . Similarly, higher order moments of the Berry curvature are predicted to produce higher harmonics of the Hall signal 27 .…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Hall Effect in Multi-Weyl Semimetals

Roy¹,

Narayan²

2021

Preprint

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In the presence of time reversal symmetry, a non-linear Hall effect can occur in systems without an inversion symmetry. One of the prominent candidates for detection of such Hall signals are Weyl semimetals. In this article, we investigate the Berry curvature induced second and third order Hall effect in multi-Weyl semimetals with topological charges n = 1, 2, 3. We use low energy effective models to obtain general analytical expressions and discover the presence of a large Berry curvature dipole in multi-Weyl semimetals. We also study the Berry curvature dipole in a realistic tight-binding lattice model and observe two different kinds of variation with increasing topological charge -these can be attributed to different underlying Berry curvature components. We provide estimates of the signatures of second harmonic of Hall signal in multi-Weyl semimetals, which can be detected experimentally. Furthermore, we predict the existence of a third order Hall signal in multi-Weyl semimetals. We derive the analytical expressions of Berry connection polarizability tensor, which is responsible for third order effects, using a low energy model and estimate the measurable conductivity. Our work can help guide experimental discovery of Berry curvature multipole physics in multi-Weyl semimetals.

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“…Alternatively, the merging of a pair of Dirac nodes could also lead to finite BCD in 2-dimensional Dirac semimetals 19 . Except the nonlinear electric Hall current, BCD-caused nonlinear transport phenomena include nonlinear thermal effects driven by the temperature gradient 25,26 and nonlinear Hall photocurrent in Weyl semimetals 5,20 , etc.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry

Wei,

Wang,

et al. 2021

Preprint

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We numerically investigate nonlinear Hall transport properties in a four-terminal system with time-reversal symmetry and broken inversion symmetry. Within the nonequilibrium Green's function formalism, the secondorder nonlinear conductances are derived, where the internal Coulomb potential in response to external voltages is explicitly included to guarantee the gauge invariance. For the system with a single mirror symmetry Mx, nonlinear Hall properties are only observable in the y direction and contributed solely from the second-order nonlinear effect. In addition to the intrinsic nonlinear Hall effect originated from nonzero Berry curvature dipole, it is found that the internal Coulomb potential has the same symmetry of the four-terminal system, which gives rise to an extra nonlinear Hall response. Furthermore, the phase relaxation mechanism modeled by virtual probes leads to additional dephasing-induced nonlinear Hall effect.

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Fundamental relations for anomalous thermoelectric transport coefficients in the nonlinear regime

Cited by 46 publications

References 54 publications

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

Distinct signatures of particle-hole symmetry breaking in transport coefficients for generic multi-Weyl semimetals

Non-Linear Hall Effect in Multi-Weyl Semimetals

Nonlinear Hall effect induced by internal Coulomb interaction and phase relaxation process in a four-terminal system with time-reversal symmetry

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