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A tight-binding parametrization for silicon, optimized to correctly reproduce effective masses as well as the reciprocal space positions of the conduction-band minima, is presented. The reliability of the proposed parametrization is…

Materials Science · Physics 2009-11-11 A. S. Martins , Timothy B. Boykin , Gerhard Klimeck , Belita Koiller

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

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…

Materials Science · Physics 2025-09-29 Andreas Ghosh , Aaron M. Schankler , Andrew M. Rappe

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…

We present a tight-binding calculation that, for the first time, accurately describes the structural, vibrational and elastic properties of amorphous silicon. We compute the interatomic force constants and find an unphysical feature of the…

Materials Science · Physics 2009-11-10 J. L. Feldman , N. Bernstein , D. A. Papaconstantopoulos , M. J. Mehl

We describe how we have used tight binding calculations as a quick, efficient tool to search for possible structures of Bi nanolines on Si(001). After identifying promising candidate structures, we have concentrated on these with \textit{ab…

Materials Science · Physics 2009-11-07 D. R. Bowler , J. H. G. Owen

We derive an {\em ab initio} $\pi$-band tight-binding model for $AB$ stacked bilayer graphene based on maximally localized Wannier wave functions (MLWFs) centered on the carbon sites, finding that both intralayer and interlayer hopping is…

Mesoscale and Nanoscale Physics · Physics 2015-02-23 Jeil Jung , Allan H. MacDonald

We propose a five-band tight-binding model for the Fe-As layers of iron pnictides with the hopping amplitudes calculated within the Slater-Koster framework. The band structure found in DFT, including the orbital content of the bands, is…

Superconductivity · Physics 2009-10-08 M. J. Calderon , B. Valenzuela , E. Bascones

Machine learning potentials (MLPs) are becoming powerful tools for performing accurate atomistic simulations and crystal structure optimizations. An approach to developing MLPs employs a systematic set of polynomial invariants including…

Computational Physics · Physics 2020-11-18 Atsuto Seko

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

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 present a general formula for the tight-binding representation of momentum matrix elements needed for calculating the conductivity based on the Kubo-Greenwood formula using atomic orbitals, which are in general not orthogonal to other…

Materials Science · Physics 2018-09-13 Chi-Cheng Lee , Yung-Ting Lee , Masahiro Fukuda , Taisuke Ozaki

We employ a tight-binding parametrization based on the Slater Koster model in order to fit the band structures of single-layer, bilayer and bulk black phosphorus obtained from first-principles calculations. We find that our model, which…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Marcos G. Menezes , Rodrigo B. Capaz

Tight-binding models provide a conceptually transparent and computationally efficient method to represent the electronic properties of materials. With AFLOW$\pi$ we introduce a framework for high-throughput first principles calculations…

Motivated by the recent discovery of Dirac nodal line in the single-component molecular conductor [Pt(dmdt)$_{2}$], we propose a three-orbital tight-binding model based on the Wannier fitting of the first-principles calculation, and address…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Taiki Kawamura , Daigo Ohki , Biao Zhou , Akiko Kobayashi , Akito Kobayashi

In this paper, we develop an accurate and efficient framework for computing subwavelength guided modes in high-contrast periodic media with line defects, based on a tight-binding approximation. The physical problem is formulated as an…

Mathematical Physics · Physics 2026-01-21 Habib Ammari , Erik Orvehed Hiltunen , Ping Liu , Borui Miao , Yi Zhu

The suitability of a range of interatomic potentials for elemental tin was evaluated in order to identify an appropriate potential for modeling the stanene (2D tin) allotropes. Structural and mechanical properties of the flat (F),…

Chemical Physics · Physics 2025-01-15 Marcin Maździarz

In this work, we construct a Wannier tight-binding model for TaS$_2$ under a superlattice potential modulation, based on the Joint Automated Repository for Various Integrated Simulations database established by the U.S. National Institute…

Materials Science · Physics 2024-12-17 Thi-Nga Do , Godfrey Gumbs

This paper presents the fabrication and characterization of superconducting qubit components from titanium nitride (TiN) and aluminum nitride (AlN) layers to create Josephson junctions and superconducting resonators in an all-nitride…

Applied Physics · Physics 2025-08-05 Benedikt Schoof , Moritz Singer , Simon Lang , Harsh Gupta , Daniela Zahn , Johannes Weber , Marc Tornow

Accurate orthogonal tight-binding Hamiltonians are constructed for ferromagnetic SrRuO$_3$ and the layered perovskite superconductor, Sr$_2$RuO$_4$ by fitting to all-electron full-potential local density band structures obtained by the…

Materials Science · Physics 2009-10-31 I. I. Mazin , D. A. Papaconstantopoulos , D. J. Singh