Nonlinear transport in Weyl semimetals induced by Berry curvature dipole

Zeng, Chuanchang; Nandy, Snehasish; Tewari, Sumanta

doi:10.1103/physrevb.103.245119

Cited by 60 publications

(31 citation statements)

References 45 publications

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“…We note that this is a diffusive transport phenomena. Following the relaxation time approximation in the Boltzmann equation, χ abc is found to be 63,68…”

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

“…refers to the BCD density 68 . We are interested in the zero temperature limit where ∂f k /∂ k is replaced by the Fermi surface configuration −δ( k − µ).…”

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

“…We would now like to comment on the symmetry constraint to have a non-zero BCD response. The off-diagonal BCD response D bd with b = d is only found to be non-zero if the system preserves two mirror symmetries M b and M d simultaneously such that D bd becomes an even function of k = (k i , k j , k l ) with 68,78,79 . On the other hand, the diagonal element are expected to contribute without the above symmetry requirement.…”

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

“…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%

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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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“…We note that this is a diffusive transport phenomena. Following the relaxation time approximation in the Boltzmann equation, χ abc is found to be 63,68…”

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

“…refers to the BCD density 68 . We are interested in the zero temperature limit where ∂f k /∂ k is replaced by the Fermi surface configuration −δ( k − µ).…”

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

Section: Second Order Response: Berry Curvature Dipole (Bcd)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Nag,

Kennes

2022

Preprint

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show abstract

“…Therefore, considerable attention has been paid to understand the electronic transport properties of WSMs [15][16][17]. For instance, there are recent works on charge transport [18] in the presence of spin-orbit-coupled impurities [19], electrochemical [20] and nonlinear transport induced by Berry curvature dipoles [21]. Regarding thermoelectric transport in WSMs, it is known that the linear Dirac-type dispersion induces a non-trivial dependence on the chemical potential [22].…”

Section: Introductionmentioning

confidence: 99%

Thermo-Magneto-Electric Transport through a Torsion Dislocation in a Type I Weyl Semimetal

2021

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Herein, we study electronic and thermoelectric transport in a type I Weyl semimetal nanojunction, with a torsional dislocation defect, in the presence of an external magnetic field parallel to the dislocation axis. The defect is modeled in a cylindrical geometry, as a combination of a gauge field accounting for torsional strain and a delta-potential barrier for the lattice mismatch effect. In the Landauer formalism, we find that due to the combination of strain and magnetic field, the electric current exhibits chiral valley-polarization, and the conductance displays the signature of Landau levels. We also compute the thermal transport coefficients, where a high thermopower and a large figure of merit are predicted for the junction.

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Skin‐Inspired in‐Sensor Encoding of Strain Vector Using Tunable Quantum Geometry

Liu,

Shi,

Cao

et al. 2024

Adv Funct Materials

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Human skin provides crucial tactile feedback, allowing to skillfully perceive various objects by sensing and encoding complex deformations through multiple parameters in each tactile receptor. However, replicating this high‐dimensional tactile perception with conventional materials' electronic properties remains a daunting challenge. Here, a skin‐inspired method is presented to encode strain vectors directly within a sensor. This is achieved by leveraging the strain‐tunable quantum properties of electronic bands in the van der Waals topological semimetal Td‐WTe2. Robust and independent responses are observed from the second‐order and third‐order nonlinear Hall signals in Td‐WTe2 when subjected to variations in both the magnitude and direction of strain. Through rigorous temperature‐dependent measurements and scaling law analysis, it is established that these strain responses primarily stem from quantum geometry‐related phenomena, including the Berry curvature and Berry‐connection polarizability tensor. Furthermore, the study demonstrates that strain‐dependent nonlinear Hall signals can efficiently encode high‐dimensional strain information using a single device. This capability enables accurate and comprehensive sensing of complex strain patterns in the embossed character “NJU”. The findings highlight the promising application of topological quantum materials in advancing next‐generation, bio‐inspired flexible electronics.

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Nonlinear transport in Weyl semimetals induced by Berry curvature dipole

Cited by 60 publications

References 45 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

Thermo-Magneto-Electric Transport through a Torsion Dislocation in a Type I Weyl Semimetal

Skin‐Inspired in‐Sensor Encoding of Strain Vector Using Tunable Quantum Geometry

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