Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers

Mandal, Ipsita

doi:10.1016/j.physleta.2020.126666

Cited by 22 publications

(9 citation statements)

References 12 publications

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“…This serves as a complementary signature for these semimetal systems, in addition to studies of other transport properties (see, for example, Refs. [5,23,28,33,41,[44][45][46]).…”

Section: Discussionmentioning

confidence: 99%

Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals

Yadav¹,

Fazzini²,

Mandal³

2022

Preprint

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We investigate the influence of a time-periodic driving (for example, by shining circularly polarized light) on three-dimensional Weyl and multi-Weyl semimetals, in the planar Hall and planar thermal Hall set-ups. We incorporate the effects of the drive by using the Floquet formalism in the large frequency limit. We evaluate the longitudinal magneto conductivity, planar Hall conductivity, longitudinal thermo-electric coefficient, and transverse thermo-electric coefficient, using the semi-classical Boltzmann transport equations. We demonstrate the explicit expressions of these transport coefficients in certain limits of the parameters, where it is possible to perform the integrals analytically. We cross-check our analytical approximations by comparing the physical values with the numerical results, obtained directly from the numerical integration of the integrals. The answers obtained show that the topological charges of the corresponding semimetals have profound signatures in these transport properties, which can be observed in experiments. Contents I. Introduction 1 II. Model and Formalism 3 A. Boltzmann Formalism 4 B. Time-periodic Driving 4 III. Longitudinal and Transverse Magneto-Conductivities 5 IV. Longitudinal and Transverse Thermo-Electric Coefficients 9 V. Discussions and Physical Interpretation of the Results 13

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“…This serves as a complementary signature for these semimetal systems, in addition to studies of other transport properties (see, for example, Refs. [5,23,28,33,41,[44][45][46]).…”

Section: Discussionmentioning

confidence: 99%

Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals

Yadav¹,

Fazzini²,

Mandal³

2022

Preprint

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“…In future, it will be useful to look at the Floquet scattering properties in the presence of disorder [34] and/or magnetic fields [20,21,35]. Another direction is to examine the effects of anisotropy as well as particle-hole symmetry-breaking terms in the Hamiltonian.…”

Section: Discussionmentioning

confidence: 99%

“…They are also known as "Luttinger semimetals" [18] because their low-energy fermionic degrees of freedom are captured by the Luttinger Hamiltonian of inverted band-gap semiconductors. Tunneling of electrons for various semimetals through barriers with static electric and magnetic potentials have been studied in some recent works [19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well

Bera,

Mandal

2021

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We consider tunneling of quasiparticles through a rectangular quantum well, subject to periodic driving. The quasiparticles are the itinerant charges in two-dimensional and three-dimensional semimetals having a quadratic band touching (QBT) point in the Brillouin zone. We assume a nonadiabatic limit where the Floquet theorem is applicable to analyze the time-periodic Hamiltonian. By deriving the Floquet scattering matrices, we chalk out the transmission and shot noise spectra of the QBT semimetals. The spectra show Fano resonances, which we identify with the (quasi)bound states of the systems. CONTENTS I. Introduction 1 II. 2d Model 3 III. 3d model 5 IV. Numerical results and discussions 8 A. 2d Model 8 B. 3d Model 10 C. Identifying Fano Resonances With (Quasi)bound States 12

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“…Particularly, not all semi-metals with higher order band crossing points have been studied exhaustively. Some recent examples that have been studied include multi Weyl semi-metals with a dispersion that is rotationally symmetric in the x-y plane [340][341][342] and higher psuedo-spin generalizations of Weyl semi-metals [343].…”

Section: Introductionmentioning

confidence: 99%

Tunneling in an anisotropic cubic Dirac semi-metal

Bouhlal,

Jellal,

Bahlouli

et al. 2021

Preprint

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Motivated by a recent first principles prediction of an anisotropic cubic Dirac semi-metal in a real material Tl(TeMo)3, we study the behavior of electrons tunneling through a potential barrier in such systems. To clearly investigate effects from different contributions to the Hamiltonian we study the model in various limits. First, in the limit of a very thin material where the linearly dispersive z-direction is frozen out at zero momentum and the dispersion in the x-y plane is rotationally symmetric. In this limit we find a Klein tunneling reminiscent of what is observed in single layer graphene and linearly dispersive Dirac semi-metals. Second, an increase in thickness of the material leads to the possibility of a non-zero momentum eigenvalue kz that acts as an effective mass term in the Hamiltonian. We find that these lead to a suppression of Klein tunneling. Third, the inclusion of an anisotropy parameter λ = 1 leads to a breaking of rotational invariance. Furthermore, we observed that for different values of incident angle θ and anisotropy parameter λ the Hamiltonian supports different numbers of modes propagating to infinity. We display this effect in form of a diagram that is similar to a phase diagram of a distant detector. Fourth, we consider coexistence of both anisotropy and non-zero kz but do not find any effect that is unique to the interplay between non-zero momentum kz and anisotropy parameter λ. Last, we studied the case of a barrier that was placed in the linearly dispersive direction and found Klein tunneling T − 1 ∝ θ 6 + O(θ 8 ) that is enhanced when compared to the Klein tunneling in linear Dirac semi-metals or graphene where T − 1 ∝ θ 2 + O(θ 4 ).

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Transmission in pseudospin-1 and pseudospin-3/2 semimetals with linear dispersion through scalar and vector potential barriers

Cited by 22 publications

References 12 publications

Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals

Magneto-transport signatures in periodically-driven Weyl and multi-Weyl semimetals

Floquet scattering of quadratic band-touching semimetals through a time-periodic potential well

Tunneling in an anisotropic cubic Dirac semi-metal

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