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We calculate the transverse effective charges of zincblende compound semiconductors using Harrison's tight-binding model to describe the electronic structure. Our results, which are essentially exact within the model, are found to be in…

mtrl-th · Physics 2009-10-30 J. Bennetto , David Vanderbilt

Monolayer transition metal dichalcogenides $MX_2$ ($M$ = Mo,W and $X$ = Te, Se, S) in 1T' structure were predicted to be quantum spin Hall insulators based on first-principles calculations, which were quickly confirmed by multiple…

Materials Science · Physics 2021-08-04 Mengli Hu , Guofu Ma , Chun Yu Wan , Junwei Liu

Studying optical properties of organic materials is important due to the rapid development of organic light-emitting diodes, solar cells, and photon detectors. Here for the first time we have performed tight-binding calculations for singlet…

Mesoscale and Nanoscale Physics · Physics 2023-04-06 Q. Chen , J. Chang , L. Ma , C. Li , L. Duan , X. Ji , J. Zhang , W. Wu , H. Wang

A tight binding model for scanning tunneling microscopy images of a molecule adsorbed on a metal surface is described. The model is similar in spirit to that used to analyze conduction along molecular wires connecting two metal leads and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yoel Calev , Hezy Cohen , Gianaurelio Cuniberti , Abraham Nitzan , Danny Porath

We obtain parameters for non-orthogonal and orthogonal TB models from two-atomic molecules for all combinations of elements of period 1 to 6 and group 3 to 18 of the periodic table. The TB bond parameters for 1711 homoatomic and…

Materials Science · Physics 2021-02-17 Jan Jenke , Alvin N. Ladines , Thomas Hammerschmidt , David G. Pettifor , Ralf Drautz

The goal of this paper is to relate the capacitance matrix formalism to the tight-binding approximation. By doing so, we open the way to the use of mathematical techniques and tools from condensed matter theory in the mathematical and…

Analysis of PDEs · Mathematics 2021-08-19 Habib Ammari , Francesco Fiorani , Erik Orvehed Hiltunen

The linear combination of atomic orbitals (LCAO) is a standard method for studying solids and molecules, it is also known as the tight$-$binding (TB) method. In most of the implementations only the basis set and the coupling constants are…

Materials Science · Physics 2024-01-18 Graziâni Candiotto

Motivated by the observation of topological states in AB-stacked MoTe$_2$/WSe$_2$, we construct the symmetry-adapted Wannier states and tight-binding model for the quantum spin Hall bands in this system. Our construction is based on the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Xun-Jiang Luo , Minxuan Wang , Fengcheng Wu

We present an accurate \textit{ab-initio} tight-binding hamiltonian for the transition-metal dichalcogenides, MoS$_2$, MoSe$_2$, WS$_2$, WSe$_2$, with a minimal basis (the \textit{d} orbitals for the metal atoms and \textit{p} orbitals for…

Mesoscale and Nanoscale Physics · Physics 2015-11-09 Shiang Fang , Rodrick Kuate Defo , Sharmila N. Shirodkar , Simon Lieu , Georgios A. Tritsaris , Efthimios Kaxiras

We develop a computational workflow for high-throughput Wannierization of density functional theory (DFT) based electronic band structure calculations. We apply this workflow to 1771 materials, and we create a database with the resulting…

Materials Science · Physics 2020-07-03 Kevin F. Garrity , Kamal Choudhary

Tight-binding (TB) molecular dynamics (MD) has emerged as a powerful method for investigating the atomic-scale structure of materials --- in particular the interplay between structural and electronic properties --- bridging the gap between…

Materials Science · Physics 2007-05-23 Laurent J Lewis , Normand Mousseau

We describe a self consistent magnetic tight-binding theory based in an expansion of the Hohenberg-Kohn density functional to second order, about a non spin polarised reference density. We show how a first order expansion about a density…

Materials Science · Physics 2009-11-13 A. T. Paxton , M. W. Finnis

A method is presented for calculating binding energies and other properties of extended interacting systems using the projected density of transitions (PDoT) which is the probability distribution for transitions of different energies…

Strongly Correlated Electrons · Physics 2009-10-31 Roger Haydock

Ultra-precision machining of metals, the breaking of nanowires under tensile stress and fracture of nanoscale materials are examples of technologically important processes which are both extremely difficult and costly to investigate…

Materials Science · Physics 2007-05-23 Maciej Bobrowski , Jacek Dziedzic , Jaroslaw Rybicki

We study the role of hopping matrix elements of the position operator $\mathbf{\hat{r}}$ in tight-binding calculations of linear and nonlinear optical properties of solids. Our analysis relies on a Wannier-interpolation scheme based on…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Julen Ibañez-Azpiroz , Fernando de Juan , Ivo Souza

We present a tight-binding (TB) model and $\mathbf{k\cdot p}$ theory for electrons in monolayer and few-layer InSe. The model is constructed from a basis of all $s$ and $p$ valence orbitals on both indium and selenium atoms, with…

Mesoscale and Nanoscale Physics · Physics 2017-01-05 S. J. Magorrian , V. Zólyomi , V. I. Fal'ko

Simulation of mesoscopic nanostructures is a central challenge in condensed matter physics and device applications. First-principles methods provide accurate electronic structures but are computationally prohibitive for large systems, while…

Materials Science · Physics 2025-10-03 Guan-Hao Peng , Chin-Jui Huang , Wen-Teng Yang , Shun-Jen Cheng

This article is a pedagogical introduction to density-functional tight-binding (DFTB) method. We derive it from the density-functional theory, give the details behind the tight-binding formalism, and give practical recipes for…

Materials Science · Physics 2009-11-02 Pekka Koskinen , Ville Mäkinen

The tight binding model is a minimal electronic structure model for molecular modelling and simulation. We show that the total energy in this model can be decomposed into site energies, that is, into contributions from each atomic site…

Numerical Analysis · Mathematics 2015-06-19 Huajie Chen , Christoph Ortner

Complex molecules and mesoscopic structures are naturally described by general networks of elementary building blocks and tight-binding is one of the simplest quantum model suitable for studying the physical properties arising from the…

Condensed Matter · Physics 2009-11-07 P. Buonsante , R. Burioni , D. Cassi