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Related papers: One-dimensional photonic quasicrystals

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Classical density-functional theory is employed to study finite-temperature trends in the relative stabilities of one-component quasicrystals interacting via effective metallic pair potentials derived from pseudopotential theory. Comparing…

Materials Science · Physics 2009-10-30 A. R. Denton , J. Hafner

We review photonic band gap related properties of a simple periodic system of thin dielectric layers. Properties associated with forbidden and allowed bands of such one-dimensional photonic crystals are presented. A revision of forbidden…

Soft Condensed Matter · Physics 2009-10-31 Dmitry N. Chigrin , Clivia M. Sotomayor Torres

In this work, we study the nucleation of quasicrystals from liquid or periodic crystals by developing an efficient order-order phase transition algorithm, namely the nullspace-preserving saddle search method. Specifically, we focus on…

Materials Science · Physics 2024-08-13 Tiejun Zhou , Lei Zhang , Pingwen Zhang , An-Chang Shi , Kai Jiang

In this comprehensible article we develop, following Fantoni and Rosati formalism, a hypernetted chain approximation for one dimensional systems of fermions. Our scheme differs from previous treatments in the form that the whole set of…

Statistical Mechanics · Physics 2015-05-14 C. O. Stoico , C. M. Carlevaro , D. G. Renzi , F. Vericat

One-dimensional photonic crystal (1D-PhC) pillar cavities allow transducing mechanical pillar vibrations to the optical domain, thereby relaxing the requirements typically associated with mechanical motion detection. In this study, we…

We report on the formation and development of the photonic band gap in two-dimensional 8-, 10- and 12-fold symmetry quasicrystalline lattices of low index contrast. Finite size structures made of dielectric cylindrical rods were studied and…

Optics · Physics 2011-03-01 Priya Rose , E. Di Gennaro , G. Abbate , A. Andreone

Periodicity is usually assumed to be the necessary and sufficient condition for the formation of band gaps, i.e., energy bands with a suppressed density of states. Here, we check this premise by analyzing the band gap properties of three…

This chapter will primarily focus on the studies of quantum optics with semiconductor, epitaxially grown quantum dots embedded in photonic crystal cavities. We will start by giving brief introductions into photonic crystals and quantum…

Quantum Physics · Physics 2014-02-12 Jelena Vuckovic

We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one…

Soft Condensed Matter · Physics 2009-10-31 A. Skibinsky , S. V. Buldyrev , A. Scala , S. Havlin , H. E. Stanley

We investigate one-electron properties of one-dimensional self-similar structures called limit quasi-periodic lattices. The trace map of such a lattice is nonconservative in contrast to the quasi-periodic case, and we can determine the…

Materials Science · Physics 2009-11-10 Rihei Endou , Komajiro Niizeki , Nobuhisa Fujita

We have studied the influence of a particular kind of phason-defect on the Landauer resistance of a Fibonacci chain. Depending on parameters, we sometimes find the resistance to decrease upon introduction of defect or temperature, a…

Condensed Matter · Physics 2009-10-28 K. Moulopoulos , S. Roche

We consider a special class of quasi-periodic potentials arising in the physics of photonic systems and possessing rotational symmetry of the 8th order. We are interested in the ``scaling'' properties of such potentials, namely, the growth…

Mathematical Physics · Physics 2025-04-01 A. Ya. Maltsev

Topological properties of Harper and generalized Fibonacci chains are studied in crystalline cases, i.e., for rational values of the modulation frequency. The Harper and Fibonacci crystals at fixed frequency are connected by an…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Guy Amit , Itzhack Dana

A cascade of phase transitions from square to hexagonal lattice is studied in 2D system of particles interacting via core-softened potential. Due to the presence of two length-scales of repulsion, different local configurations with four,…

Soft Condensed Matter · Physics 2017-12-14 N. P. Kryuchkov , S. O. Yurchenko , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

This article presents a very gentle introduction to the field of aperiodic order, aimed at a general audience. It is intended to provide a "Snapshot of Modern Mathematics" relating to the Oberwolfach mini-workshop "Dynamical versus…

History and Overview · Mathematics 2019-10-03 Michael Baake , David Damanik , Uwe Grimm

Here we would like to discuss the light transmission modulation by periodic and disordered one dimensional (1D) photonic structures. In particular, we will present some theoretical and experimental findings highlighting the peculiar optical…

The main purpose of the present paper is to define and study the notion of quasi bi-slant submanifolds of almost contact metric manifolds. We mainly concerned with quasi bi-slant submanifolds of cosymplectic manifolds as a generalization of…

General Mathematics · Mathematics 2020-03-10 Mehmet Akif Akyol , Selahattin Beyendi

In this paper, we investigate some properties of generalized Fibonacci quaternions and Fibonacci-Narayana quaternions.

Rings and Algebras · Mathematics 2013-02-18 Cristina Flaut , Vitalii Shpakivskyi

We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We…

Pattern Formation and Solitons · Physics 2016-08-17 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

Atomic-scale control of light-matter interactions represent the ultimate frontier for many applications in photonics and quantum technology. Two-dimensional semiconductors, including transition metal dichalcogenides, are a promising…

Mesoscale and Nanoscale Physics · Physics 2024-08-22 John M. Woods , Saroj B. Chand , Enrique Mejia , Takashi Taniguchi , Kenji Watanabe , Johannes Flick , Gabriele Grosso