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A recent tight-binding scheme provides a method for extending the results of first principles calculations to regimes involving $10^2 - 10^3$ atoms in a unit cell. The method uses an analytic set of two-center, non-orthogonal tight-binding…

mtrl-th · Physics 2008-02-03 Michael J. Mehl , Dimitrios A. Papaconstantopoulos

A novel hybrid scheme is proposed. The {\it ab initio} LDA calculation is used to construct the Wannier functions and obtain single electron and Coulomb parameters of the multiband Hubbard-type model. In strong correlation regime the…

Strongly Correlated Electrons · Physics 2007-05-23 V. A. Gavrichkov , M. M. Korshunov , S. G. Ovchinnikov , I. A. Nekrasov , Z. V. Pchelkina , V. I. Anisimov

We propose a simple and effective approach to construct the empirical tight-binding parameters of ternary alloys in the virtual crystal approximation. This combines a new, compact formulation of the strain parameters and a linear…

Mesoscale and Nanoscale Physics · Physics 2016-06-27 M. O. Nestoklon , R. Benchamekh , P. Voisin

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

We present a high-accuracy procedure for electronic structure calculations of strongly correlated materials. To address limitations in current electronic structure methods, we employ density functional theory in combination with the…

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…

Materials Science · Physics 2023-11-27 Rohin Sharma , Amit Shrestha , Masahiko Higuchi , Katsuhiko Higuchi , Dipendra B. Hamal

Machine learning techniques are utilized to estimate the electronic band gap energy and forecast the band gap category of materials based on experimentally quantifiable properties. The determination of band gap energy is critical for…

Materials Science · Physics 2024-03-11 Sagar Prakash Barad , Sajag Kumar , Subhankar Mishra

In this work we present a comparison of multiband k.p-models, the effective bond-orbital approach, and an empirical tight-binding model to calculate the electronic structure for the example of a truncated pyramidal GaN/AlN self-assembled…

Materials Science · Physics 2009-11-13 Oliver Marquardt , Daniel Mourad , Stefan Schulz , Tilmann Hickel , Gerd Czycholl , Jörg Neugebauer

We present a detailed comparative study of two important theoretical approaches: atomistic sp$^3$d$^5$s$^*$ tight-binding and continuum eight-band $k \cdot p$ methods, for modeling the spin and optical properties of quantum dots (QDs). Our…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Krzysztof Gawarecki , Alina Garbiec , Jakub Stanecki , Michał Zieliński

The lack of inversion symmetry in semiconducting transition metal dichalcogenide monolayers (TMDMs) enables a considerable molecular-level intrinsic piezoelectricity, which opens prospects for atomically-thin piezotronics and…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Yunhua Wang , Zongtan Wang , Jie Li , Jie Tan , Biao Wang , Yulan Liu

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…

Materials Science · Physics 2024-10-28 Emily G. Ward , Alexandru B. Georgescu

Quantum-mechanical (QM) simulations, thanks to their predictive power, can provide significant insights into the nature and dynamics of defects such as vacancies, dislocations and grain boundaries. These considerations are essential in the…

Materials Science · Physics 2021-11-17 Bartosz Barzdajn , Alexander M Garrett , Thomas M Whiting , Christopher P Race

Pseudopotentials, tight-binding models, and $k\cdot p$ theory have stood for many years as the standard techniques for computing electronic states in crystalline solids. Here we present the first new method in decades, which we call…

Materials Science · Physics 2016-01-20 Craig Pryor , Mats-Erik Pistol

For a previously published study of the titanium hcp (alpha) to omega (omega) transformation, a tight-binding model was developed for titanium that accurately reproduces the structural energies and electron eigenvalues from all-electron…

Materials Science · Physics 2008-07-24 D. R. Trinkle , M. D. Jones , R. G. Hennig , S. P. Rudin , R. C. Albers , J. W. Wilkins

The halide perovskites have truly emerged as efficient optoelectronic materials and show the promise of exhibiting nontrivial topological phases. Since the bandgap is the deterministic factor for these quantum phases, here we present a…

Materials Science · Physics 2021-03-31 Ravi Kashikar , Mayank Gupta , B. R. K. Nanda

A strategy for the systematic design of polymeric superlattices with tailor-made mini-bandgaps and carrier mini-effective masses is described and computationally implemented by means of an envelope crystalline-orbital method, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Cesar A. Mujica-Martinez , Julio C. Arce

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

A universal set of third--nearest neighbour tight--binding (TB) parameters is presented for calculation of the quasiparticle (QP) dispersion of $N$ stacked $sp^2$ graphene layers ($N=1... \infty$) with $AB$ stacking sequence. The QP bands…

Materials Science · Physics 2009-11-13 A. Grüneis , C. Attaccalite , L. Wirtz , H. Shiozawa R. Saito , T. Pichler , A. Rubio

The formal link between the linear combination of atomic orbitals approach to density functional theory and two-center Slater-Koster tight-binding models is used to derive an orthogonal $d$-band tight-binding model for iron with only two…

Materials Science · Physics 2015-03-19 Georg K. H. Madsen , Eunan J. McEniry , Ralf Drautz

A multiscale approach was adopted for the calculation of confined states in self-assembled semiconductor quantum dots (QDs). While results close to experimental data have been obtained with a combination of atomistic strain and…

Mesoscale and Nanoscale Physics · Physics 2014-09-16 Parijat Sengupta , Sunhee Lee , Sebastian Steiger , Hoon Ryu , Gerhard Klimeck