Topological cutoff frequency in a slab waveguide: Penetration length in topological insulator walls

Melo, Thiago M.; Viana, Davidson R.; Moura-Melo, W. A.; Fonseca, Jakson M.; Pereira, A. R.

doi:10.1016/j.physleta.2015.12.041

Cited by 15 publications

(11 citation statements)

References 29 publications

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“…which represent the simplest linear connection between (D, H) and (E, B). As already mentioned, such relations play relevant role in topological insulators [20][21][22][23][24][25][26] and axion systems [28][29][30]. Inserting Eq.…”

Section: A Bi-isotropic Casementioning

confidence: 80%

“…On the other hand, for α, β ∈ R, one has simply β = −α, α ′′ = 0, and no birefringence takes place. This is the case of the topological insulators bi-isotropic scenario [20][21][22][23][24][25][26], whose constitutive relations are…”

Section: Optical Effects Of Complex Magnetoelectric Parameters In Non...mentioning

confidence: 99%

“…See (C11) for details. The bi-isotropic relations (9) have been much studied in both theoretical and applied respects [13][14][15][16][17][18][19], being also important to address properties of topological insulators [20][21][22][23][24][25][26][27], axion electrodynamics [28][29][30], construction of optical isolators from chiral materials [31], Casimir effect in chiral media [32], and other applications [33]. Furthermore, bi-anisotropic "chiral materials", described by relations (6) involving anisotropic tensors, were employed to investigate relativistic electron gas [34], time dependent magnetoelectric parameters [35],…”

Section: Introductionmentioning

confidence: 99%

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Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media

Silva¹,

Casana²,

Ferreira³

2022

Preprint

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The classical propagation of electromagnetic waves in continuous matter is described by the constitutive relations and the Maxwell equations. This work investigates the effects stemming from extended constitutive relations on the propagation of waves in bi-isotropic and bi-anisotropic media using a classical general approach, based on the evaluation of dispersion relations and refractive indices. For the bi-anisotropic media, the magnetoelectric parameters were represented by specific symmetric and antisymmetric configurations. The three cases examined have provided real and distinct refractive indices for two propagating modes, which implies birefringence. The propagating modes were also carried out in all cases. The anisotropy or birefringence effect, given by the rotatory power or phase difference, was evaluated in terms of the magnetoelectric parameters of the theory in each case. The propagation orthogonal to the vectors used to parametrize the symmetric and antisymmetric magnetoelectric tensors is described by distinct modes, which may represent a route to identify the kind of bi-anisotropic medium examined.

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Section: A Bi-isotropic Casementioning

confidence: 80%

Section: Optical Effects Of Complex Magnetoelectric Parameters In Non...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media

Silva¹,

Casana²,

Ferreira³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…uniaxial and biaxial crystals [3][4][5][6][7], Weyl semimetals [8,9], and magnetized materials [10,11]); (ii) novel effects in matter described by extended constitutive relations that introduce additional electric and magnetic responses, encoded as linear functions of the type D = D(E, B) and H = H(E, B), in general. This happens, for instance, in bi-isotropic media [12][13][14][15], chiral materials [16], topolog-ical insulators [17][18][19][20][21][22], relativistic electron gases [23], axion electrodynamics [24][25][26], and Lorentz-violating electrodynamics [27,28], as well.…”

Section: Introductionmentioning

confidence: 99%

Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter

Silva,

Lisboa-Santos,

Ferreira

et al. 2021

Preprint

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In this work we study how CPT -odd Maxwell-Carroll-Field-Jackiw (MCFJ) electrodynamics as well as a dimension-5 extension of it affect the optical activity of continuous media. The starting point is dimension-3 MCFJ electrodynamics in matter whose modified Maxwell equations, permittivity tensor, and dispersion relations are recapitulated. Corresponding refractive indices are achieved in terms of the frequency and the vector-valued background field. For a purely timelike background, the refractive indices are real. Their associated propagation modes are circularly polarized and exhibit birefringence. For a purely spacelike background, one refractive index is always real and the other can be complex. The circularly polarized propagating modes may exhibit birefringence and dichroism (associated with absorption). Subsequently, we examine a dimension-five MCFJ-type electrodynamics, previously scrutinized in the literature, in a continuous medium. Following the same procedure, we find the refractive indices from a sixth-order dispersion equation. For a purely timelike background, three distinct refractive indices are obtained, one of them being real and two being complex. They are associated with two circularly polarized propagating modes that exhibit birefringence or dichroism, depending on the frequency range. Scenarios of propagation and absorption analogous to those found in dispersive dielectrics are also observed for spacelike background configurations. We conclude by comparing the dimension-three and five results and by emphasizing the richer phenomenology of the propagating modes in the higher-derivative model. Our results are applicable in the realm of Weyl semimetals.

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“…They have been predicted to exhibit exotic physical properties depending only on their underlying topology and not on its particular geometry nor mechanical features. QSH insulators promising candidates for spintronic technologies [1,[4][5][6] and optical applications [7,8] due to strong correlation between spin and momentum (large spin-orbit coupling) in these compounds . The two-dimensional (2D) TI exhibit a peculiar metallic edge firstly discovered in HgTe/CdTe QW [9].…”

Section: Introductionmentioning

confidence: 99%

Klein Tunneling of Spin Polarized Currents in HgTe Quantum Wells

Viana¹,

Melo²,

Fonseca³

et al. 2015

Preprint

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We investigate the behavior of spin polarized currents in two-dimensional topological insulators (TI). Stationary solutions inside a HgTe/CdTe quantum well (QW) were obtained by Bernevig-Hughes-Zhang (BHZ) model modified by a electric and magnetic barrier inside a non-completely insulating bulk. An attenuated quantum spin Hall (QSH) effect occurs in the gaped region with an apparent Klein-like paradox. Even more interesting, for strong potential regime, the interaction between the quasiparticles and the barriers allows spin inversion of this electronic states in a distinct channel conduction. Thus, our findings suggest a mechanism to manipulated spin polarized currents in this system.

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Topological cutoff frequency in a slab waveguide: Penetration length in topological insulator walls

Cited by 15 publications

References 29 publications

Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media

Symmetric and antisymmetric constitutive tensors for bi-isotropic and bi-anisotropic media

Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter

Klein Tunneling of Spin Polarized Currents in HgTe Quantum Wells

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