Nonorthogonality and<i>κ</i>-Dependence Eccentricity of Polarized Electromagnetic Waves in CPT-Even Lorentz Violation

Prudencio, Thiago; Belich, H.

doi:10.1155/2017/3050724

Cited by 4 publications

(3 citation statements)

References 53 publications

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“…This description is verified in Fig. 3, where the refractive indices (47) ± (ω) of Eq. ( 47) in terms of ω/V where V = |V|.…”

Section: Longitudinal Configurationssupporting

confidence: 60%

“…Presently, the Standard-Model Extension (SME) [43], where fixed back-ground tensor fields are coupled to the dynamical Standard Model fields, is usually employed as the main framework to parameterize it. Lorentz violation in the electromagnetic sector of the SME occurs by means of a CPTodd or a CPT -even term [44][45][46][47]. The CPT -odd part is represented by the Carroll-Field-Jackiw (CFJ) contribution [48,49], which has found applications in condensedmatter systems that violate parity (P ) and time reversal (T ) symmetry [50] as well as those endowed with the chiral magnetic effect [51][52][53][54] and the anomalous Hall effect [55].…”

Section: Introductionmentioning

confidence: 99%

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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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“…This description is verified in Fig. 3, where the refractive indices (47) ± (ω) of Eq. ( 47) in terms of ω/V where V = |V|.…”

Section: Longitudinal Configurationssupporting

confidence: 60%

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

View full text Add to dashboard Cite

show abstract

“…As it is known, SM does not incorporate the gravitational interactions. More general pictures are represented by standard model extensions (SMEs) . The scenario of high energy physics beyond the SM can be induced by the presence of a noncommutative geometry in the space‐time related to a generalization of uncertainty principle, also called deformed Heisenberg algebra.…”

Section: Introductionmentioning

confidence: 99%

Exotic Metamaterials from Noncommutative Theory

Prudencio

Belich

2018

Advcd Theory and Sims

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Exotic optical properties in materials are investigated as a consequence of noncommutative geometry (NCG) originated from deformed Heisenberg algebra. The NCG leads to modified eletromagnetism and then changes the constitutive relations that allow the determination of refractive index and impedance of the medium for different materials. Considering different situations where permittivity and permeability are obtained depending on NCG parameters, in dielectric, nonmagnetic, and magnetic cases, exotic conditions associated with metamaterial properties are obtained as the presence of negative index refraction under a generalized susceptibility depending on NCG. These results show that a class of optical metamaterials can be modeled based on NCG depending on noncommutative parameters.realized later that the noncommutative geometry (NCG) could be a scheme to extend the SM in several forms. [8,9] In particular, it appears naturally in string theories [10,11] leading to effective theories describing SME that recover at low energy limits known physical results from SM.NCG in the presence of a deformed Heisenberg algebra has been considered for corrections in the hydrogen energy spectrum [12][13][14][15][16] and Stark effect. [17] The effects of NCG appearing in low energy scenarios are consequences of the generalized terms that do not appear in SM. [18][19][20][21][22] As such, it implies contributions in modified electromagnetism resulting in exotic electromagnetic properties.Here we investigate the exotic optical properties in the material response as a consequence of the modified electromagnetism by NCG. We consider the case of material properties in particular and we take into account permittivity and permeability leading to metamaterial properties as negative index refraction, as a consequence of the dependence on a noncommutative parameter.The structure of this article is as follows: In Section 2, we revise NCG of the modified Heisenberg algebra; in Section 3, we discuss NCG and modified Maxwell equations; in Section 4, we discuss metamaterials from NCG-modified Maxwell equations; and in Section 5, we make our concluding remarks.

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

et al. 2021

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Nonorthogonality andκ-Dependence Eccentricity of Polarized Electromagnetic Waves in CPT-Even Lorentz Violation

Cited by 4 publications

References 53 publications

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

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

Exotic Metamaterials from Noncommutative Theory

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

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