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Localized interface states in abrupt semiconductor heterojunctions are studied within a tight-binding model. The intention is to provide a microscopic foundation for the results of similar studies which were based upon the two-band model…

Materials Science · Physics 2009-11-07 A. V. Kolesnikov , R. Lipperheide , U. Wille

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

The past years have witnessed impressive advances in electronic structure calculation, especially in the complexity and size of the systems studied, as well as in computation time. Linear scaling methods based on empirical tight-binding…

Materials Science · Physics 2007-05-23 Abduxukur Abdurixit , Alexis Baratoff , Giulia Galli

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

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 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 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…

Building on the established methods for superconducting circuit quantization, we present a new theoretical framework for approximate numerical simulation of Josephson quantum circuits. Simulations based on this framework provide access to a…

Quantum Physics · Physics 2020-12-17 Andrew J. Kerman

As semiconductor technologies continue to scale down to the nanoscale, the efficient prediction of material properties becomes increasingly critical. The tight-binding (TB) method is a widely used semi-empirical approach that offers a…

Materials Science · Physics 2025-11-27 In Jun Park , Kamal Choudhary

Solid state physics deals with systems composed of atoms with strongly bound electrons. The tunneling probability of each electron is determined by interactions that typically extend to neighboring sites, as their corresponding wave…

Materials Science · Physics 2019-11-27 F. Ramírez-Ramírez , E. Flores-Olmedo , G. Báez , E. Sadurní , R. ~A. Méndez-Sánchez

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

A state in a d-dimensional Hilbert space can be simulated by a state defined in a different dimension with high fidelity. We assess how faithfully such the approximated state can perform quantum protocols, using an example of the squeezed…

Quantum Physics · Physics 2009-11-13 Petr Marek , M. S. Kim

Heisenberg-type spin models in the limit of a low number of excitations are useful tools to study basic mechanisms in strongly correlated and magnetic systems. Many of these mechanisms can be experimentally tested using ultracold atoms.…

Quantum Physics · Physics 2013-12-09 Gian Luca Giorgi , Thomas Busch

Exact method of analytical solution of flat, non-dispersive eigenstates in a class of quasi-one dimensional structures is reported within the tight-binding framework. The states are localized over certain sublattice sites. One such finite…

Disordered Systems and Neural Networks · Physics 2020-06-30 Atanu Nandy

We analyze the electronic structure of group II-VI semiconductors obtained within LMTO approach in order to arrive at a realistic and minimal tight binding model, parameterized to provide an accurate description of both valence and…

Materials Science · Physics 2009-11-10 Sameer Sapra , N. Shanthi , D. D. Sarma

We propose a new method of calculating electronically excited states that combines a density functional theory (DFT) based ground state calculation with a linear response treatment that employs approximations used in the time-dependent…

Chemical Physics · Physics 2016-05-11 Robert Rüger , Erik van Lenthe , Thomas Heine , Lucas Visscher

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

We analyze and present applications of a recently proposed empirical tight-binding scheme for investigating the effects of alloy disorder on various electronic and optical properties of semiconductor alloys, such as the band gap variation,…

Materials Science · Physics 2024-01-31 Anh-Luan Phan , Alessandro Pecchia , Alessia Di Vito , Matthias Auf der Maur

We analyze the effect of an external electric field on the electronic structure of molecules which have been recently studied as molecular wires or diodes. We use a self-consistent tight binding technique which provides results in good…

Computational Physics · Physics 2011-09-12 Christophe Krzeminski , Christophe Delerue , Guy Allan
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