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The full-potential linearized augmented plane wave method with the generalized gradient approximation for the exchange-correlation potential (FLAPW-GGA) is used to predict the electronic and elastic properties of the newly discovered…

Materials Science · Physics 2008-11-14 I. R. Shein , A. L. Ivanovskii

The calculations of electronic transport coefficients and optical properties require a very dense interpolation of the electronic band structure in reciprocal space that is computationally expensive and may have issues with band crossing…

An application of the tight binding approximation is presented for the description of electronic structure and interatomic force in magnetic iron, both pure and containing hydrogen impurities. We assess the simple canonical d-band…

Materials Science · Physics 2015-05-19 A. T. Paxton , C. Elsaesser

We describe a versatile mechanism that provides tight-binding models with an enriched, topologically nontrivial bandstructure. The mechanism is algebraic in nature, and leads to tight-binding models that can be interpreted as a non-trivial…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 J. Arkinstall , M. H. Teimourpour , L. Feng , R. El-Ganainy , H. Schomerus

We describe the screened Korringa-Kohn-Rostoker (KKR) method and the third-generation linear muffin-tin orbital (LMTO) method for solving the single-particle Schroedinger equation for a MT potential. The simple and popular formalism which…

Condensed Matter · Physics 2007-05-23 O. K. Andersen , C. Arcangeli , R. W. Tank , T. Saha-Dasgupta , G. Krier , O. Jepsen , I. Dasgupta

The electronic structure of the molecular compound (TTM-TTP)I_3, which exhibits a peculiar intra-molecular charge ordering, has been studied using multi-configuration ab initio calculations. First we derive an effective Hubbard-type model…

The band structures describing non-interacting particles in one-dimensional superlattices of arbitrary periodicity are obtained by an analytical diagonalization of the Hamiltonian without adopting the popular tight-binding approximation.…

Strongly Correlated Electrons · Physics 2013-06-18 Olaf Krüger , Alejandro Saenz

Simulation of mesoscopic nanostructures is a central challenge in condensed matter physics and device applications. First-principles methods provide accurate electronic structures but are computationally prohibitive for large systems, while…

Materials Science · Physics 2025-10-03 Guan-Hao Peng , Chin-Jui Huang , Wen-Teng Yang , Shun-Jen Cheng

We study the role of hopping matrix elements of the position operator $\mathbf{\hat{r}}$ in tight-binding calculations of linear and nonlinear optical properties of solids. Our analysis relies on a Wannier-interpolation scheme based on…

Mesoscale and Nanoscale Physics · Physics 2022-03-04 Julen Ibañez-Azpiroz , Fernando de Juan , Ivo Souza

We present a method for total energy minimizations and molecular dynamics simulations based either on tight-binding or on Kohn-Sham hamiltonians. The method leads to an algorithm whose computational cost scales linearly with the system…

Condensed Matter · Physics 2009-10-22 Francesco Mauri , Giulia Galli

A semi-empirical formalism is presented for deriving interatomic potentials for materials such as caesium or cerium which exhibit volume collapse phase transitions. It is based on the Finnis-Sinclair second moment tight binding approach,…

Materials Science · Physics 2009-11-07 Graeme J. Ackland , Stewart K. Reed

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

Machine learning interatomic potentials (MLIPs) based on a large dataset obtained by density functional theory (DFT) calculation have been developed recently. This study gives both conceptual and practical bases for the high accuracy of…

Materials Science · Physics 2017-11-08 Akira Takahashi , Atsuto Seko , Isao Tanaka

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 detailed tight-binding analysis of the electron band structure of the CuO_2 plane of layered cuprates is performed within a sigma-band Hamiltonian including four orbitals - Cu3d_x^2-y^2, Cu4s, O2p_x, and O2p_y. Both the experimental and…

Superconductivity · Physics 2009-10-31 T. Mishonov , E. Penev

Accounting for nuclear quantum effects (NQEs) can significantly alter material properties at finite temperatures. Atomic modeling using the path-integral molecular dynamics (PIMD) method can fully account for such effects, but requires…

Materials Science · Physics 2025-05-21 A. A. Solovykh , N. E. Rybin , I. S. Novikov , A. V. Shapeev

We have performed Linearized Augmented Plane Wave (LAPW) calculations for five crystal structures (alpha, dhcp, sc, fcc, bcc) of Boron which we then fitted to a non-orthogonal tight-binding model following the Naval Research Laboratory…

Materials Science · Physics 2016-06-29 Joseph W. McGrady , Dimitrios A. Papaconstantopoulos , Michael J. Mehl

We have derived orbital basis sets from scattering theory. They are expressed as polynomial approximations to the energy dependence of a set of partial waves, in quantized form. The corresponding matrices, as well as the Hamiltonian and…

Condensed Matter · Physics 2009-10-31 O. K. Andersen , T. Saha-Dasgupta

We study theoretically ultracold collisions in quasi one-dimensional optical traps for bosonic and fermionic reactive molecules in the presence of a periodic potential along the trap axis. Elastic, reactive, and umklapp processes due to…

Quantum Gases · Physics 2016-04-13 Hugo Terrier , Jean-Michel Launay , Andrea Simoni

The exploration of quantum phenomena in complex materials such as moir\'e superlattices is limited by the O(N^3) scaling of conventional electronic structure methods. Here we introduce a high-performance tight-binding framework that reduces…

Computational Physics · Physics 2026-01-21 Zichong Zhang , Shuze Zhu
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