Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals

Yadav, Shivam; Sekh, Sajid; Mandal, Ipsita

doi:10.1016/j.physb.2023.414765

Cited by 13 publications

(8 citation statements)

References 45 publications

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“…The remaining parts, dependent on a nonzero BC, are functions of η 2 , thus making them even functions of η as well. For this set-up, only even powers of B appear, and we do not obtain any part linearly varying with B, similar to the untilted cases [32,44]. Also important to note is that the BCdependent part is independent of the chirality of the node.…”

Section: Lmcsupporting

confidence: 65%

“…In the future, it will be worthwhile to study the influence of a strong quantizing magnetic field, when Landau level formation cannot be ignored [43,44,76,97]. The behaviour of the magnetoconductivity in the presence of strong disorder as well as many-body interactions [53,[98][99][100][101][102][103] will take us into the regime where interactions cannot be ignored.…”

Section: Data Availability Statementmentioning

confidence: 99%

“…Other smokinggun signatures of nontrivial topology in bandstructures, studied widely in the literature, include intrinsic anomalous Hall effect [35][36][37], planar thermal Hall 3 PHE is also observed in ferromagnets, but its value is very small. effect [23,[29][30][31][32][38][39][40][41], magneto-optical conductivity when Landau levels need to be considered [42][43][44], Magnus Hall effect [45][46][47], circular dichroism [48,49], circular photogalvanic effect [50][51][52][53], and transmission of quasiparticles across potential barriers/wells [54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%

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Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Ghosh,

Mandal

2024

J. Phys.: Condens. Matter

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We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields ($\mathbf E $ and $\mathbf B $) and the direction of the tilt. The non-Drude part of the response arises from a nonzero Berry curvature in the vicinity of the WSM/mWSM node under consideration. Only in the presence of a nonzero tilt do we find linear-in-$ | \mathbf B| $ terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by $\mathbf E $ and $ \mathbf B $. The advantage of the emergence of the linear-in-$ | \mathbf B| $ terms is that, unlike the various $| \mathbf B|^2 $-dependent terms that can contribute to experimental observations, they have purely a topological origin and they dominate the overall response-characteristics in the realistic parameter regimes. The important signatures of these terms are that they (1) change the periodicity of the response from $\pi $ to $2\pi$, when we consider their dependence on the angle $\theta $ between $\mathbf E $ and $\mathbf B $; and (2) lead to an overall change in sign of the conductivity depending on $\theta$, when measured with respect to the $\mathbf B =0$ case.

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Section: Lmcsupporting

confidence: 65%

Section: Data Availability Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Ghosh,

Mandal

2024

J. Phys.: Condens. Matter

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“…Recently, many theoretical models have been devoted to investigating the physical properties of Weyl semimetals. − The first principle with density functional theory (DFT) is used to study the elastic, electronic, bonding, and optoelectronic properties of topological Weyl semimetal WTe 2 , the result shows that WTe 2 is elastically anisotropic with low-value optical anisotropy, and its electronic band structure reveals the quasi-linear dispersions along the certain direction in the Brillouin zone with semimetallic features. The bonding characteristics of WTe 2 are a mixture of metallic and covalent bonds.…”

Section: Introductionmentioning

confidence: 99%

Structure and Magnetic and Thermal Properties of Polycrystalline RAlGe (R = La, Ce, Pr) Semimetals

Feng,

Guo,

Yao

et al. 2023

J. Phys. Chem. C

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Polycrystalline RAlGe (R = La, Ce, Pr) is prepared by arc melting and vacuum solid state reaction technologies. The crystal structures of RAlGe are refined with Rietveld method based on two models of the site-disorderly centrosymmetric I4 1 /amd and the siteorderly noncentrosymmetric I4 1 md. The structural model is suggested to follow the site-orderly noncentrosymmetric I4 1 md, which agrees with the prediction of nontrivial topology. This structure consists of the special alternating stack of A/B layers formed by isosceles triangle Δ in the A layer and reversal isosceles triangle ∇ in the B layer along the a axis, and the lack of space-inversion symmetry with the noncentrosymmetric structure may result in the formation of Weyl points on Fermi faces of RAlGe semimetals. Magnetization measurement confirms an antiferromagnetic transition temperature of 2.9 K for CeAlGe and a melting model is built for checking the consistency of experimental and predicted transition temperatures. The effective moment of polycrystalline CeAlGe is 2.49 μ B , which is smaller than that of Ce 3+ due to the existence of the Ce 4+ state in CeAlGe. Polycrystalline PrAlGe exhibits an antiferromagnetic transition at 14.4 K, and its effective moment (3.89 μ B ) is more than that of Pr 3+ ; the extra moment might be due to the exchanging interaction between itinerant electron in s conducting band and 4f electrons of Pr, i.e., f−s exchanging interaction. The thermal properties and valence electron structures of RAlGe have been studied with empirical electron theory (EET) of solids and molecules. It shows that cohesive energy and melting point of RAlGe are strongly related to their valence electron structures.

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“…The chiral anomaly leads to another effect in topological nodal phases, namely the giant planar Hall effect (PHE) [29][30][31][32][33][34], which is the appearance of a large transverse voltage when B is not aligned along E. Observation of the negative LMR and the PHE, with a specific dependence of the conductivity/resistivity tensors on the angle θ between E and B (obtained theoretically from the semiclassical Boltzmann formalism), constitutes a telltale evidence for the chiral anomaly. 1 Other smoking-gun signatures of nontrivial topology in bandstructures, studied widely in the literature, include intrinsic anomalous Hall effect [35][36][37], planar thermal Hall effect [23,[29][30][31][32][38][39][40][41], magneto-optical conductivity when Landau levels need to be considered [42][43][44], Magnus Hall effect [45][46][47], circular dichroism [48,49], circular photogalvanic effect [50][51][52][53], and transmission of quasiparticles across potential barriers/wells [54][55][56][57].…”

mentioning

confidence: 99%

Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Mandal,

Ghosh

2024

Preprint

Self Cite

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We compute the magnetoelectric conductivity tensors in planar Hall set-ups, which are built with tilted Weyl semimetals (WSMs) and multi-Weyl semimetals (mWSMs), considering all possible relative orientations of the electromagnetic fields (E and B) and the direction of the tilt. The non-Drude part of the response arises from a nonzero Berry curvature in the vicinity of the WSM/mWSM node under consideration. Only in the presence of a nonzero tilt do we find linear-in-|B| terms in set-ups where the tilt-axis is not perpendicular to the plane spanned by E and B. The advantage of the emergence of the linear-in-|B| terms is that, unlike the various |B|2-dependent terms that can contribute to experimental observations, they have purely a topological origin, and they dominate the overall response-characteristics in the realistic parameter regimes. The important signatures of these terms are that they (1) change the periodicity of the response from π to 2π, when we consider their dependence on the angle θ between E and B; and (2) lead to an overall change in sign of the conductivity depending on θ, when measured with respect to the B = 0 case.

show abstract

Magneto-optical conductivity in the type-I and type-II phases of Weyl/multi-Weyl semimetals

Cited by 13 publications

References 45 publications

Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

Structure and Magnetic and Thermal Properties of Polycrystalline RAlGe (R = La, Ce, Pr) Semimetals

Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals

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