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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…

材料科学 · 物理学 2024-01-18 Graziâni Candiotto

Moir\'e superlattices have emerged as a versatile platform for exploring a wide range of ex- otic quantum phenomena. Unlike angstrom-scale materials, the moir\'e length-scale system contains a large number of atoms, and its electronic…

材料科学 · 物理学 2025-11-10 Xueheng Kuang , Federico Escudero , Pierre A. Pantaleón , Francisco Guinea , Zhen Zhan

First-principles electronic structure calculations have been very useful in understanding some of the properties of the new iron-based superconductors. Further explorations of the role of the individual atomic orbitals in explaining various…

超导电性 · 物理学 2010-08-05 D. A. Papaconstantopoulos , M. J. Mehl , M. D. Johannes

We present a scheme to controllably improve the accuracy of tight-binding Hamiltonian matrices derived by projecting the solutions of plane-wave ab initio calculations on atomic orbital basis sets. By systematically increasing the…

This paper advocates for an innovative approach designed for estimating optoelectronic properties of quantum structures utilizing Tight-Binding (TB) theory. Predicated on the comparative analysis between estimated and actual properties, the…

量子物理 · 物理学 2024-08-30 Ali Haji Ebrahim Zargar , Ali Amini , Ahmad Ayatollahi

A detailed Linear Combination of Atomic Orbitals (LCAO) tight-binding model is developed for the layered High-Temperature Superconductor cuprates. The band structure of these materials is described using a sigma-band Hamiltonian employing…

超导电性 · 物理学 2009-11-07 T. M. Mishonov , J. P. Wallington , E. S. Penev , J. O. Indekeu

A non-perturbative relativistic tight-binding (TB) approximation method applicable to crystalline material immersed in a magnetic field was developed in 2015. To apply this method to any material in the magnetic field, the electronic…

材料科学 · 物理学 2023-11-27 Rohin Sharma , Amit Shrestha , Masahiko Higuchi , Katsuhiko Higuchi , Dipendra B. Hamal

Photonics, dealing with the generation, manipulation, and detection of photons in various systems, lays the foundation of many advanced technologies. A key task of photonics is to know how photons propagate in complex media such as periodic…

\textit{Ab initio} pseudo-atomic orbital (PAO) Hamiltonians express the electronic structure of a solid in a compact, localized basis that spans the same Hilbert space as a conventional Slater--Koster tight-binding model, thereby providing…

材料科学 · 物理学 2026-04-17 Marco Buongiorno Nardelli

Empirical tight binding(ETB) methods are widely used in atomistic device simulations. Traditional ways of generating the ETB parameters rely on direct fitting to bulk experiments or theoretical electronic bands. However, ETB calculations…

Optical lattice loaded with cold atoms can exhibit a tunable photonic band gap for a weak probe field under the conditions of electromagnetically induced transparency. This system possesses a number of advantageous properties, including…

量子物理 · 物理学 2011-11-10 David Petrosyan

Multiple gaps in the tight-binding band of a pentagonal lattice are found. Unlike the Cairo pentagonal lattice this lattice is made of irregular pentagons with arms of different lengths. The tight-binding Hamiltonian is exactly solved to…

介观与纳米尺度物理 · 物理学 2017-02-28 Susobhan Paul , Asim Kumar Ghosh

The Empirical Tight Binding(ETB) method is widely used in atomistic device simulations. The reliability of such simulations depends very strongly on the choice of basis sets and the ETB parameters. The traditional way of obtaining the ETB…

With the help of a tight-binding (TB) electronic-structure toy model we investigate the matching of parameters across hetero-interfaces . We demonstrate that the virtual crystal approximation, commonly employed for this purpose, may not…

介观与纳米尺度物理 · 物理学 2013-06-28 B. A. Stickler , W. Pötz

A simulated annealing (SA) approach is employed in the determination of different tight binding (TB) sets of parameters for the nitride semiconductors AlN, GaN and InN, as well their limitations and potentialities are also discussed. Two…

材料科学 · 物理学 2016-09-21 A. S. Martins , C. E. Fellows

Tight-binding models provide great insight and are a low-cost alternative to \emph{ab initio} methods for calculation of a material's electronic structure. These models are used to calculate optical responses, including nonlinear optical…

材料科学 · 物理学 2025-09-29 Andreas Ghosh , Aaron M. Schankler , Andrew M. Rappe

We develop a tight-binding model based on linear combination of atomic orbitals (LCAO) methods to describe the electronic structure of arrays of acceptors, where the underlying basis states are derived from an effective-mass-theory solution…

介观与纳米尺度物理 · 物理学 2020-02-19 Jianhua Zhu , Wei Wu , A. J. Fisher

We provide a methodology to understand materials with complex bonding patterns, and apply it to the example of heteroanionic and lone pair materials. We build a tight-binding model based on Wannier functions fitted on density functional…

材料科学 · 物理学 2024-10-28 Emily G. Ward , Alexandru B. Georgescu

We present an efficient numerical approach for treating ballistic quantum transport across devices described by tight binding (TB) Hamiltonians designated to systems with localized potential defects. The method is based on the wave function…

介观与纳米尺度物理 · 物理学 2016-09-08 K. Kolasiński , A. Mreńca-Kolasińska , B. Szafran

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…

材料科学 · 物理学 2007-05-23 Laurent J Lewis , Normand Mousseau
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