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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

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

The essential features of a full potential electronic structure method using Linear Muffin-Tin Orbitals (LMTOs) are presented. The electron density and potential in the this method are represented with no inherent geometrical approximation.…

Materials Science · Physics 2007-05-23 John M Wills , Olle Eriksson , Mebarek Alouani , David L. Price

In the band theory, first-principles calculations, the tight-binding method and the effective $k\cdot p$ model are usually employed to investigate the electronic structure of condensed matters. The effective $k\cdot p$ model has a compact…

Materials Science · Physics 2021-06-25 Guohui Zhan , Minji Shi , Zhilong Yang , Haijun Zhang

Using density functional theory, we determine parameters of tight-binding Hamiltonians for a variety of Fabre charge transfer salts, focusing in particular on the effects of temperature and pressure. Besides relying on previously published…

Strongly Correlated Electrons · Physics 2013-04-25 A. C. Jacko , H. Feldner , E. Rose , F. Lissner , M. Dressel , Roser Valentí , Harald O. Jeschke

The present paper reviews recent achievements on the ab initio determination of effective model Hamiltonians aimed at the description of strongly correlated materials. These models (Heisenberg, $t-J$, extended Hubbard, Kondo, etc) are…

Strongly Correlated Electrons · Physics 2007-05-23 Marie-Bernadette Lepetit

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…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Jianhua Zhu , Wei Wu , A. J. Fisher

This paper summarises the theory and functionality behind Questaal, an open-source suite of codes for calculating the electronic structure and related properties of materials from first principles. The formalism of the linearised muffin-tin…

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

Strongly Correlated Electrons · Physics 2007-05-23 Sandro Sorella

We extend a tight-binding method to include the effects of spin-orbit coupling, and apply it to the study of the electronic properties of the actinide elements Th, U, and Pu. These tight-binding parameters are determined for the fcc crystal…

Materials Science · Physics 2013-05-29 M. D. Jones , R. C. Albers

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…

Materials Science · Physics 2016-09-21 A. S. Martins , C. E. Fellows

We have examined a method of direct extraction of accurate tight-binding parameters from an ab-initio band-structure calculation. The linear muffin-tin potential method, in its full-potential implementation, has been used to provide the…

Materials Science · Physics 2015-06-24 David Djajaputra , Bernard R. Cooper

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

The AB s-valent dimer is used to analyse bond formation and charge transfer within the tight-binding (TB) approximation. In this way a physical interpretation of the electronic structure and binding energy within density functional theory…

Materials Science · Physics 2011-12-21 D. G. Pettifor

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 report on the electronic structure, density of states and transmission properties of the periodic one-dimensional Tight-Binding (TB) lattice with a single orbital per site and nearest-neighbor interactions, with a generic unit cell of…

Materials Science · Physics 2018-02-26 K. Lambropoulos , C. Simserides

The self-consistent charge density functional tight-binding (DFTB) theory is a useful tool for realizing the electronic structures of large molecular complex systems. In this study, we analyze the electronic structure of C61, formed by…

Materials Science · Physics 2016-06-14 Jia Wang , Xing Dai , Wanrun Jiang , Tianrong Yu , Zhigang Wang

We consider the mapping of tight-binding electronic structure theory to a local spin Hamiltonian, based on the adiabatic approximation for spin degrees of freedom in itinerant-electron systems. Local spin Hamiltonians are introduced in…

Topological insulators (TIs) are a class of materials which are insulating in their bulk form yet, upon introduction of an a boundary or edge, e.g. by abruptly terminating the material, may exhibit spontaneous current along their boundary.…

Mathematical Physics · Physics 2022-01-28 Jacob Shapiro , Michael I. Weinstein

We investigate the feasability of improving the semi-empirical density functional based tight-binding method (DFTB) through a general and transferable many-body repulsive potential for pure silicon using a common machine-learning framework.…

Materials Science · Physics 2022-02-23 Dylan Bissuel , Tristan Albaret , Thomas A. Niehaus