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Related papers: An Empirical Tight-Binding Model for Titanium Phas…

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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…

Materials Science · Physics 2024-01-18 Graziâni Candiotto

The electronic structure, when restricted to the d-band approximation, is a computational model that is both efficient and useful for describing transition metals. In the absence of considering delocalized sp-states, this approximation…

Materials Science · Physics 2025-08-05 Jacques R. Eone

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…

Mesoscale and Nanoscale Physics · Physics 2013-06-28 B. A. Stickler , W. Pötz

The martensitic {\alpha} --> {\omega} transition was investigated in Ti under hydrostatic pressure. The calculations were carried out using the density functional theory (DFT) framework in combination with the Birch-Murnaghan equation of…

Materials Science · Physics 2013-10-07 M. Jafari , M. Nobakhti , H. Jamnezhad , K. Bayati

We discuss how to construct a tight binding model Hamiltonan for the simplest possible solid, composed of hydrogen-like atoms. A single orbital per atom is not sufficient because the on-site electron-electron repulsion mixes in higher…

Strongly Correlated Electrons · Physics 2014-09-09 J. E. Hirsch

Computational modeling of titanium dioxide nanoparticles of realistic size is extremely relevant for the direct comparison with experiments but it is also a rather demanding task. We have recently worked on a multistep/scale procedure to…

Materials Science · Physics 2018-09-10 Daniele Selli , Gianluca Fazio , Cristiana Di Valentin

A new method for calculating the total energy of Si systems is presented. The method is based on the effective-medium theory concept of a reference system. Instead of calculating the energy of an atom in the system of interest a reference…

Condensed Matter · Physics 2016-08-14 K. Stokbro , N. Chetty , K. W. Jacobsen , J. K. Nørskov

A transferable tight-binding potential has been constructed for heteroatomic systems containing carbon and hydrogen. The electronic degree of freedom is treated explicitly in this potential using a small set of transferable parameters which…

chem-ph · Physics 2008-02-03 Yang Wang , C. H. Mak

A description of the martensitic transformations between the $\alpha$, $\beta$ and $\omega$ phases of titanium that includes nucleation and growth requires an accurate classical potential. Optimization of the parameters of a modified…

Materials Science · Physics 2009-11-13 R. G. Hennig , T. J. Lenosky , D. R. Trinkle , S. P. Rudin , J. W. Wilkins

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

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…

Materials Science · Physics 2015-08-12 Yaohua P. Tan , Michael Povolotsky , Tillmann Kubis , Timothy B. Boykin , Gerhard Klimeck

Simulating electronic behavior in materials and devices with realistic large system sizes remains a formidable task within the $ab$ $initio$ framework due to its computational intensity. Here we show DeePTB, an efficient deep learning-based…

Materials Science · Physics 2024-11-14 Qiangqiang Gu , Zhanghao Zhouyin , Shishir Kumar Pandey , Peng Zhang , Linfeng Zhang , Weinan E

A twist between two systems offers the possibility to drastically change the underlying physical properties. To that end, we study the bandstructure of twisted moir\'e potentials in detail. At sets of commensurate twisting angles, the low…

Quantum Gases · Physics 2025-04-11 Dean Johnstone , Shanya Mishra , Zhaoxuan Zhu , Laurent Sanchez-Palencia

An empirical $s_cp^3_a$ tight-binding (TB) model is applied to the investigation of electronic states in semiconductor quantum dots. A basis set of three $p$-orbitals at the anions and one $s$-orbital at the cations is chosen. Matrix…

Other Condensed Matter · Physics 2009-11-11 Stefan Schulz , Gerd Czycholl

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 have developed a transferable nonorthogonal tight-binding total energy model for germanium and use it to study small clusters. The cohesive energy, bulk modulus, elastic constants of bulk germanium can be described by this model to…

Atomic and Molecular Clusters · Physics 2009-11-06 Jijun Zhao , Jinlan Wang , Guanghou Wang

We present a method which computes many-electron energies and eigenfunctions by a full configuration interaction which uses a basis of atomistic tight-binding wave functions. This approach captures electron correlation as well as atomistic…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Erik Nielsen , Rajib Rahman , Richard P. Muller

The time-dependent density functional based tight-binding (TD-DFTB) approach is generalized to account for fractional occupations. In addition, an on-site correction leads to marked qualitative and quantitative improvements over the…

Materials Science · Physics 2013-02-15 A. Domínguez , B. Aradi , T. Frauenheim , V. Lutsker , T. A. Niehaus

We introduce an effective tight-binding model to discuss penta-graphene and present an analytical solution. This model only involves the $\pi$-orbitals of the sp$^2$-hybridized carbon atoms and reproduces the two highest valence bands. By…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 T. Stauber , J. I. Beltrán , J. Schliemann

We present a tight-binding potential for transition metals, carbon, and transition metal carbides, which has been optimized through a systematic fitting procedure. A minimal basis, including the s, p electrons of carbon and the d electrons…