Giant electronic stop bands in one-dimensional comblike structures

Akjouj, Abdellatif; Djafari‐Rouhani, Bahram; Vasseur, J. O.; Kushwaha, Manvir S.

doi:10.1209/epl/i1998-00150-y

Cited by 20 publications

(16 citation statements)

References 16 publications

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“…We consider now circuits made of nano-metric wires and will use a continuous model to describe their electronic properties [186]. The geometry investigated in this work is similar to that studied in Section 2.4 and depicted in Fig.…”

Section: Continuous Modelmentioning

confidence: 99%

“…Because of its fundamental interest and practical importance, electronic transport in onedimensional structures with a wide variety of geometries has been intensely investigated in the recent past. These studies include quantum conductance in one-dimensional mesoscopic rings [173,174], the transmission zeros and poles in quantum wave-guides [175][176][177][178][179], the transmission in coupled quantum wires [180][181][182][183][184], the size-effect on conductance in ballistic quantum wires [185], the electronic stop bands [186][187][188], the electron channel drop tunneling [189][190][191], the localization effects [192], the overlap effects on electron transmission through molecular wires [193][194][195], the transmission through two-dimensional lattices [196], . .…”

Section: Introductionmentioning

confidence: 99%

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Photon, electron, magnon, phonon and plasmon mono-mode circuits

Vasseur

Akjouj

Dobrzyński

et al. 2004

Surface Science Reports

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Section: Continuous Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Vasseur

Akjouj

Dobrzyński

et al. 2004

Surface Science Reports

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“…This could be of potential interest for developing nanocircuits that may play the role of reflectors or filters for electrons. In previous publications, 22,23 we proposed a model of onedimensional ͑1D͒ monomode waveguide exhibiting passbands separated by large forbidden bands. The geometry of the model presented in Ref.…”

Section: Introductionmentioning

confidence: 99%

Transmission gaps and sharp resonant states in the electronic transport through a simple mesoscopic device

et al. 2007

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A simple electronic circuit consisting of a single symmetric or asymmetric loop with dangling resonators is designed to obtain possibly large stop bands ͑where the propagation of electrons is forbidden͒. Contrary to all known systems of this kind, a spectral transmission gap of nonzero width occurs here even with a single loop. This is obtained by combining appropriately the zeros of transmission of the loop and of the dangling resonators. Sharp resonant electronic states inside the gaps can be achieved without introducing any defects in the structure. This results from an internal resonance of the structure when such a resonance is situated in the vicinity of a zero of transmission or squeezed between two zeros of transmission, the so-called Fano resonances. A general expression for the transmission coefficient is given for various systems of this kind within the framework of the interface response theory. The amplitude and the phase of the transmission are discussed as a function of the wave vector or energy and it is shown that the width of the stop bands is very sensitive to the number of grafted resonators, while the magnitude of the resonant states in the transmission coefficient is very sensitive to the lengths of the different arms constituting the loop and the dangling resonators. These structures may have potential applications in microelectronic devices.

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“…Subsequently, the photonic band structure was calculated for electromagnetic waves in the periodic dielectric materials [2,3]. For the energy gap of electron, Akjouj et al [4] reported the existence of giant electronic stop bands in one-dimensional comb-like structures. These gaps originated both from the periodicity of the system and the resonance states of the grafted branches that played the role of resonators.…”

Section: Introductionmentioning

confidence: 99%

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

Qiu¹,

Zhang²,

Guo³

et al. 2006

Physica Status Solidi (b)

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The magnon energy band in a ferrimagnetic superlattice with three layers in a unit cell is studied by employing retarded Green's functions and the spin-wave method. Two modulated energy gaps ∆ 13 ω and ∆ 23 ω are evaluated systematically, which exist in the magnon energy band along the K x -direction perpendicular to the plane of the superlattice. It is revealed that the energy gap ∆ 13 ω has a direct relation with the symmetry among the spin quantum numbers and the interlayer exchange couplings, while the energy gap ∆ 23 ω relates to the symmetry among these spin quantum numbers only. These symmetries differ from the symmetry of crystallographic point groups. We define the magnetically structural symmetry that is dominated mainly by the magnetic parameters. The absence of the energy gap at a certain condition means that the system has a high magnetically structural symmetry. The magnetically structural symmetry of the superlattice, which is an intrinsic property, strongly affects the magnon energy band structure and thus the magnetic behaviors of the system. Furthermore, two complete bandgaps are observed to extend through the Brillouin zone (referred to as "magnonic crystal") in this superlattice system.

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Giant electronic stop bands in one-dimensional comblike structures

Cited by 20 publications

References 16 publications

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Transmission gaps and sharp resonant states in the electronic transport through a simple mesoscopic device

Magnon energy gap and the magnetically structural symmetry in a three‐layer ferrimagnetic superlattice

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