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We present details of our effective computational methods based on the real-space finite-difference formalism to elucidate electronic and magnetic properties of the two-dimensional (2D) materials within the framework of the density…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yoshiyuki Egami , Shigeru Tsukamoto , Tomoya Ono

We present a systematic, quasi-automated methodology for generating electronic models in the framework of second-principles density functional theory (SPDFT). This approach enables the construction of accurate and computationally efficient…

We start from the polynomic interatomic potentials introduced by Wojde{\l} et al. [J. Phys. Condens. Matt. 25, 305401(2013)] and take advantage of one of their key features -- namely, the linear dependence of the energy on the potential's…

Materials Science · Physics 2017-03-22 Carlos Escorihuela-Sayalero , Jacek C. Wojdeł , Jorge Íñiguez

We prove that the electron density function of a real physical system can be uniquely determined by its values on any finite subsystem. This establishes the existence of a rigorous density-functional theory for any open electronic system.…

Quantum Physics · Physics 2007-05-23 Xiao Zheng , Fan Wang , GuanHua Chen

We propose a novel approach to model amorphous materials using a first principles density functional method while simultaneously enforcing agreement with selected experimental data. We illustrate our method with applications to amorphous…

Materials Science · Physics 2009-11-10 Parthapratim Biswas , De Nyago Tafen , Raymond Atta-Fynn , D. A. Drabold

We present a scheme to construct model potentials, with parameters computed from first principles, for large-scale lattice-dynamical simulations of materials. Our method mimics the traditional solid-state approach to the investigation of…

Materials Science · Physics 2013-12-04 Jacek C. Wojdeł , Patrick Hermet , Mathias P. Ljungberg , Philippe Ghosez , Jorge Íñiguez

This chapter provides a tutorial overview of first principles methods to describe the properties of matter at the ground state or equilibrium. It begins with a brief introduction to quantum and statistical mechanics for predicting the…

Computational Engineering, Finance, and Science · Computer Science 2020-10-14 Jianzhong Wu , Mengyang Gu

We present a first-principles method based on density functional theory and many-body perturbation theory for computing spin excitations in magnetic systems with noncollinear spin textures. Traditionally, the study of magnetic excitations…

Materials Science · Physics 2025-10-21 Hsiao-Yi Chen , Ryotaro Arita , Yusuke Nomura

An algorithm for first-principles electronic structure calculations having a computational cost which scales linearly with the system size is presented. Our method exploits the real-space localization of the density matrix, and in this…

mtrl-th · Physics 2016-09-07 E. Hernandez , M. J. Gillan

The large-scale search for high-performing candidate 2D materials is limited to calculating a few simple descriptors, usually with first-principles density functional theory calculations. In this work, we alleviate this issue by extending…

Materials Science · Physics 2020-07-07 Victor Venturi , Holden Parks , Zeeshan Ahmad , Venkatasubramanian Viswanathan

Energy degeneracy in physical systems may be induced by symmetries of the Hamiltonian, and the resonance of degeneracy states in carbon nanostructures can effectively enhance the stability of the system. Combining the octet rule, we…

Mesoscale and Nanoscale Physics · Physics 2025-04-18 Chang-Chun He , Shao-Gang Xu , Jiarui Zeng , Weijie Huang , Yao Yao , Yu-Jun Zhao , Hu Xu

Electron microscopy is a powerful tool for studying the properties of materials down to their atomic structure. In many cases, the quantitative interpretation of images requires simulations based on atomistic structure models. These…

We present the derivation and code implementation of a first-principles methodology to calculate the lattice-mediated contributions to the bulk flexoelectric tensor. The approach is based on our recent analytical long-wavelength extension…

Materials Science · Physics 2022-02-16 Miquel Royo , Massimiliano Stengel

The electronic structure of the ferroelectric crystal, NaNO$_2$, is studied by means of first-principles, local density calculations. Our ab-initio, non-relativistic calculations employed a local density functional approximation (LDA)…

Materials Science · Physics 2012-10-16 C. E. Ekuma , M. Jarrell , J. Moreno , L. Franklin , G. L. Zhao , J. T. Wang , D. Bagayoko

We present a computationally efficient general first-principles based method for spin-lattice simulations for solids. Our method is based on a combination of atomistic spin dynamics and molecular dynamics, expressed through a spin-lattice…

Solid state theory, density functional theory and its generalizations for correlated systems together with numerical simulations on supercomputers allow nowadays to model magnetic systems realistically and in detail and can be even used to…

Materials Science · Physics 2023-10-16 Vladislav Borisov

We present a method to analyze the results of first-principles based calculations of electronic currents including inelastic electron-phonon effects. This method allows us to determine the electronic and vibrational symmeties in play, and…

Mesoscale and Nanoscale Physics · Physics 2008-06-11 Magnus Paulsson , Thomas Frederiksen , Hiromu Ueba , Nicolas Lorente , Mads Brandbyge

We suggest to include the density of electron charge explicitly in the electron potential of density functional theory, rather than implicitly via exchange-correlation functionals. The advantages of the approach are conceptual and…

Materials Science · Physics 2007-05-23 Werner A. Hofer , Krisztian Palotas

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 review a recent proposal of a first principles approach to the electronic structure of materials with strong electronic correlations. The scheme combines the GW method with dynamical mean field theory, which enables one to treat strong…

Strongly Correlated Electrons · Physics 2007-05-23 Silke Biermann , Ferdi Aryasetiawan , Antoine Georges
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