Suppression of the singularly localized states in dimer quasiperiodic Fibonacci superlattices

Aziz, Z.; Bentata, S.; Djelti, R.; Sefir, Yamina

doi:10.1016/j.ssc.2010.02.004

Cited by 7 publications

(2 citation statements)

References 18 publications

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“…To the best of my knowledge, this kind of structure has not been thoroughly analyzed in the optics field yet. Quite interestingly, recent studies of 'dimer' Fibonacci semiconductor superlattices (obtained from the replacement B → BB in the corresponding quantum-wells) indicate that the dimer-related states play a significant role in the resulting electronic properties, enhancing the formation of relatively broad minibands with a concomitant disappearance of the critical localized states usually present in Fibonacci systems [108].…”

Section: Distorted Quasiperiodicitymentioning

confidence: 99%

Exploiting aperiodic designs in nanophotonic devices

2012

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In this work we consider the role of aperiodic order-order without periodicity-in the design of different optical devices in one, two and three dimensions. To this end, we will first study devices based on aperiodic multilayered structures. In many instances the recourse to Fibonacci, Thue-Morse or fractal arrangements of layers results in improved optical properties compared with their periodic counterparts. On this basis, the possibility of constructing optical devices based on a modular design of the multilayered structure, where periodic and quasiperiodic subunits are properly mixed, is analyzed, illustrating how this additional degree of freedom enhances the optical performance in some specific applications. This line of thought can be naturally extended to aperiodic arrangements of optical elements, such as nanospheres or dielectric rods in the plane, as well as to three-dimensional photonic quasicrystals based on polymer materials. In this way, plentiful possibilities for new tailored materials naturally appear, generally following suitable optimization algorithms. Then, we present a detailed discussion on the physical properties supporting the preferential use of aperiodic devices in a number of optical applications, opening new avenues for technological innovation. Finally we suggest some related emerging topics that deserve some attention in the years to come.

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Section: Distorted Quasiperiodicitymentioning

confidence: 99%

Exploiting aperiodic designs in nanophotonic devices

2012

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“…Experimental as well as theoretical studies of these superlattices are concentrated on the consequences of the long-range correlations induced by the aperiodic arrangement at a length scale longer than atomic one [24,25]. In particular, this problem has been extensively investigated in the Fibonacci superlattices which are regarded as a typical example of aperiodic systems [26,27,28]. In these studies, it has been found that the wave functions of one-particle states are critical, i.e.…”

Section: Introductionmentioning

confidence: 99%

Multifractal analysis of the electronic states in the Fibonacci superlattice under weak electric fields

Woloszyn,

Spisak

2011

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Influence of the weak electric field on the electronic structure of the Fibonacci superlattice is considered. The electric field produces a nonlinear dynamics of the energy spectrum of the aperiodic superlattice. Mechanism of the nonlinearity is explained in terms of energy levels anticrossings. The multifractal formalism is applied to investigate the effect of weak electric field on the statistical properties of electronic eigenfunctions. It is shown that the applied electric field does not remove the multifractal character of the electronic eigenfunctions, and that the singularity spectrum remains nonparabolic, however with a modified shape. Changes of the distances between energy levels of neighbouring eigenstates lead to the changes of the inverse participation ratio of the corresponding eigenfunctions in the weak electric field. It is demonstrated, that the local minima of the inverse participation ratio in the vicinity of the anticrossings correspond to discontinuity of the first derivative of the difference between marginal values of the singularity strength. Analysis of the generalized dimension as a function of the electric field shows that the electric field correlates spatial fluctuations of the neighbouring electronic eigenfunction amplitudes in the vicinity of anticrossings, and the nonlinear character of the scaling exponent confirms multifractality of the corresponding electronic eigenfunctions.

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