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We consider the electromagnetic propagation in two-dimensional photonic crystals, formed by parallel dielectric cylinders embedded a uniform medium. The frequency band structure is computed using the standard plane-wave expansion method,…

Materials Science · Physics 2009-11-10 Chao-Hsien Kuo , Zhen Ye

The supercell approach enables us to treat the electronic structure of defective crystals, but the calculated energy bands are too complicated to understand or to compare with angle-resolved photoemission spectra because of inevitable zone…

Materials Science · Physics 2014-04-01 M. Farjam

The Sierpinski Triangle (ST) is a fractal mathematical structure that has been used to explore the emergence of flat bands in lattices of different geometries and dimensions in condensed matter. Here we look into fractal features in the…

Mesoscale and Nanoscale Physics · Physics 2024-11-08 L. L. Lage , A. Latge

In this report we present an investigation of the optical properties and band structure calculations for the photonic structures based on the functional materials- ferroelectrics. A theoretical approach to the optical properties of the 2D…

Optics · Physics 2013-05-08 Sevket Simsek , Amirullah M. Mamedov , Ekmel Ozbay

The electronic energy band structure of strained and unstrained Si, Ge and SiGe alloys is examined in this work using thirty-level k.p analysis. The energy bands are at first obtained with ab initio calculations based on the…

Materials Science · Physics 2007-05-23 D. Rideau , M. Feraille , L. Ciampolini , M. Minondo , C. Tavernier , H. Jaouen , A. Ghetti

We investigate the influence of a time dependent, homogeneous electric field on scattering properties of non-interacting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green's function in two…

Disordered Systems and Neural Networks · Physics 2009-10-30 Tobias Brandes

Within the framework of density functional theory (DFT), the total energy of crystal structures is calculated at zero temperature. Herein, we briefly discuss the DFT-based lattice-dynamics approach for computing crystal free energy, the…

Materials Science · Physics 2015-07-01 Tran Doan Huan

We present an efficient method for extracting energy levels from lattice QCD correlation functions by computing the eigenvalues of the transfer matrix associated with the lattice QCD Hamiltonian. While mathematically and numerically…

High Energy Physics - Lattice · Physics 2025-06-25 Debsubhra Chakraborty , Dhruv Sood , Archana Radhakrishnan , Nilmani Mathur

The refraction properties of phononic crystals are revealed by examining the anti-plane shear waves in doubly periodic elastic composites with unit cells containing rectangular and/or elliptical inclusions. The band-structure, group…

Materials Science · Physics 2014-12-15 Sia Nemat-Nasser

We present a general method to unfold energy bands of supercell calculations to primitive Brillouin zone using group theoretical techniques, where an isomorphic factor group is introduced to connect the primitive translation group with the…

Materials Science · Physics 2015-06-19 Huaqing Huang , Fawei Zheng , Ping Zhang , Jian Wu , Bing-Lin Gu , Wenhui Duan

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

Chemical Physics · Physics 2024-10-30 Priya , Mainak Sadhukhan

We consider a model for a one-dimensional photonic crystal formed by a succession of Kerr-type equidistant spaceless interfaces immersed in a linear medium. We calculate the band structure and reflectance of this structure as a function of…

In this work, we develop a systematic method of constructing flat-band models with and without band crossings. Our construction scheme utilizes the symmetry and spatial shape of a compact localized state (CLS) and also the singularity of…

Mesoscale and Nanoscale Physics · Physics 2021-08-26 Yoonseok Hwang , Jun-Won Rhim , Bohm-Jung Yang

Systematic and automatic calculations of the electronic band structure are a crucial component of computationally-driven high-throughput materials screening. An algorithm, for any crystal, to derive a unique description of the crystal…

Materials Science · Physics 2023-04-24 Yoyo Hinuma , Giovanni Pizzi , Yu Kumagai , Fumiyasu Oba , Isao Tanaka

The problem of motion of a single electron interacting with a periodic lattice of two-level systems is investigated within a spinless fermion model. The Green's function is calculated in a single-site dynamical coherent potential…

Strongly Correlated Electrons · Physics 2011-07-27 A. O. Anokhin , A. V. Zarubin , V. Yu. Irkhin

A code for calculating the semi-classical thermoelectric and electronic transport properties is described. It uses the Landauer transport theory, which is equivalent to the Boltzmann theory, by introducing a central quantity-the…

Materials Science · Physics 2020-01-07 Xufeng Wang , Evan Witkoske , Jesse Maassen , Mark Lundstrom

The energetics of transformation of a planar fragment of a graphite monolayer into a spherical cluster is studied. The path considered is that a flat cluster rolls up into a segment of a spherical shell. The energy landscape of the process…

Materials Science · Physics 2007-05-23 Slava V. Rotkin , Robert A. Suris

A simple approximation within the framework of the hybrid methods for the calculation of the electronic structure of solids is presented. By considering only the diagonal elements of the perturbation operator (Hartree-Fock exchange minus…

Materials Science · Physics 2012-01-31 Fabien Tran

We discuss the calculation of crystal field splittings using Wannier functions and show how the ligand field contributions can be separated from the bare Coulomb contribution to the crystal field by constructing sets of Wannier functions…

Materials Science · Physics 2025-06-10 Andrea Scaramucci , Jens Ammann , Nicola A. Spaldin , Claude Ederer

Photonic crystal is a dielectric material which has a refractive index or permittivity which vary periodically, thus preventing the propagation of light with specific frequency and direction. The frequency range is called a photonic bandgap…

Materials Science · Physics 2012-01-04 Candra Kurniawan
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