2016
DOI: 10.1103/physreva.94.043805
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Negative refraction in Möbius molecules

Abstract: We theoretically show the negative refraction existing in Möbius molecules. The negative refractive index is induced by the non-trivial topology of the molecules. With the Möbius boundary condition, the effective electromagnetic fields felt by the electron in a Möbius ring is spatially inhomogeneous. In this regard, the DN symmetry is broken in Möbius molecules and thus the magnetic response is induced through the effective magnetic field. Our findings open up a new architecture for negative refractive index m… Show more

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Cited by 17 publications
(30 citation statements)
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References 44 publications
(92 reference statements)
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“…Metamaterials with negative refraction [1][2][3][4][5][6][7] have attracted broad interest because of their potential applications, including perfect lenses [2,8], fingerprint identification in forensic science [9], simulating condensed matter phenomena and reversed Doppler effect [10,11], controlling light polarization [12], and electromagnetic cloaking [13][14][15]. In order to realize metamaterials, a number of routes have been proposed, including (molecular) split-ring resonators [3,16,17], chiral approaches [18], hyperbolic dispersion [19][20][21][22], dark-state mechanism [23][24][25][26][27], and topological routes [28][29][30]. However, none of these can effectively overcome the difficulty of realizing broad-band negative refraction.…”
Section: Introductionmentioning
confidence: 99%
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“…Metamaterials with negative refraction [1][2][3][4][5][6][7] have attracted broad interest because of their potential applications, including perfect lenses [2,8], fingerprint identification in forensic science [9], simulating condensed matter phenomena and reversed Doppler effect [10,11], controlling light polarization [12], and electromagnetic cloaking [13][14][15]. In order to realize metamaterials, a number of routes have been proposed, including (molecular) split-ring resonators [3,16,17], chiral approaches [18], hyperbolic dispersion [19][20][21][22], dark-state mechanism [23][24][25][26][27], and topological routes [28][29][30]. However, none of these can effectively overcome the difficulty of realizing broad-band negative refraction.…”
Section: Introductionmentioning
confidence: 99%
“…Since two or more transitions can effectively overlap with each other, it would be reasonable to expect a broadened bandwidth of the negative refraction by simultaneous multi-electron transitions. On the other hand, Möbius molecules with nontrivial topology have been synthesized [39][40][41][42][43] and proposed to realize, e.g., metamaterials [28,30,44], quantum devices [45][46][47], dual-mode resonators and bandpass filters [48], topological insulators [49], molecular knots and engines [50], and artificial light harvesting [51,52].…”
Section: Introductionmentioning
confidence: 99%
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“…Figure (6) shows the characteristics of Möbius molecular rings that support negative refraction (-ve permittivity ε andve permeability μ), known as metamaterial properties. As shown in Figure (6), two energy bands are denoted by their different pseudo spin labels  =↑and↓; detuning  =- 0 [7]. The difference between the Möbius molecular ring and the common annulenes lies in the boundary condition.…”
Section: Garphene Möbius Strip: Microwave Componentsmentioning
confidence: 99%
“…1 For this kind of material, the permittivity and permeability can be negative simultaneously in electromagnetic field, which might bring about the phenomenon of negative refraction. Pendry et al [2][3][4][5][6] developed Veselago's theory, their research pointed out that the configuration of split-ring resonators (SRRs) 3 which had non-trivial symmetry breaking 7 is an effective way to realize negative refraction. Negative refraction has became more and more popular these decades, new researches and applications come to practice.…”
mentioning
confidence: 99%