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Previous calculations of the dielectric and optical properties of 2D materials often overlooked or circumvented the influence of vacuum spacing introduced in periodic calculations, which gave rise to mispredictions of the intrinsic…

Materials Science · Physics 2021-10-26 Guang Yang , Shang-Peng Gao

Dimensionality reduction in mechanical vibratory systems poses challenges for distributed structures including geometric nonlinearities, mainly because of the lack of invariance of the linear subspaces. A reduction method based on direct…

Numerical Analysis · Mathematics 2022-05-26 Andrea Opreni , Alessandra Vizzaccaro , Attilio Frangi , Cyril Touzé

This paper studies DFT models for homogeneous 2D materials in 3D space, under a constant perpendicular magnetic field. We show how to reduce the three--dimensional energy functional to a one--dimensional one, similarly as in our previous…

Mathematical Physics · Physics 2023-07-18 David Gontier , Salma Lahbabi , Abdallah Maichine

We present a comparison of real-space methods based on regular grids for electronic structure calculations that are designed to have basis set variational properties, using as a reference the conventional method of finite differences (a…

Materials Science · Physics 2009-11-07 Chris-Kriton Skylaris , Oswaldo Dieguez , Peter D. Haynes , Mike C. Payne

We search for novel two-dimensional materials that can be easily exfoliated from their parent compounds. Starting from 108423 unique, experimentally known three-dimensional compounds we identify a subset of 5619 that appear layered…

This study proposes an approach toward the first principles electronic structure calculation with the aid of symbolic-numeric solving. The symbolic computation enables us to express the Hartree-Fock-Roothaan equation and the molecular…

Symbolic Computation · Computer Science 2013-02-26 Akihito Kikuchi

We perform high quality, first principles calculations of the properties of Pb and Tl isolated monolayers. Among these, we consider the equilibrium lattice constant, the two dimensional compressibilities and the electronic density.…

Condensed Matter · Physics 2007-05-23 C. Sanchez , E. P. M. Leiva

The paper presents numerical simulations performed on dielectric properties of two-dimensional binary composites on eleven regular space filling tessellations. First, significant contributions of different parameters, which play an…

Materials Science · Physics 2007-05-23 Enis Tuncer

A new numerical method is presented for solving the rotating shallow water equations on a rotating sphere using quasi-uniform polygonal meshes. The method uses special families of finite element function spaces to mimic key mathematical…

Numerical Analysis · Mathematics 2015-06-23 John Thuburn , Colin J. Cotter

Statistics of closed paths in two-dimensional systems, which just determines the interference quantum correction to conductivity and anomalous magnetoconductance, has been studied by computer simulation of a particle motion over the plane…

Statistical Mechanics · Physics 2007-05-23 A. V. Germanenko , V. A. Larionova , G. M. Minkov , S. A. Negashev , I. V. Gornyi

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

A second order accurate numerical scheme is proposed and implemented for the Landau-Lifshitz-Gilbert equation, which models magnetization dynamics in ferromagnetic materials, with large damping parameters. The main advantages of this method…

Computational Physics · Physics 2022-01-26 Yongyong Cai , Jingrun Chen , Cheng Wang , Changjian Xie

First principles approaches have been successful in solving many-body Hamiltonians for real materials to an extent when correlations are weak or moderate. As the electronic correlations become stronger often embedding methods based on first…

We develop a simulation framework for electrostatic and transport modeling of 2D Topological insulator field-effect transistor (2D TIFETs), based solely on first-principles calculations using density functional theory (DFT). We find that…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Hyeonseok Choi , Yosep Park , Subeen Lim , Yeonghun Lee

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…

A qualitative but formalized representation of microstates is first established quite independently of the quantum mechanical mathematical formalism, exclusively under epistemological-operational-methodological constraints. Then, using this…

Quantum Physics · Physics 2018-04-25 Mioara Mugur-Schächter

Two-dimensional (2D) layered materials, demonstrating significantly different properties from their bulk counterparts, offer a materials platform with potential applications from energy to information processing devices. Although some…

Mesoscale and Nanoscale Physics · Physics 2021-07-13 Georgios A. Tritsaris , Stephen Carr , Gabriel R. Schleder

The theoretical description of materials' properties driven out of equilibrium has important consequences in various fields such as semiconductor spintronics, nonlinear optics, continuous and discrete quantum information science and…

Materials Science · Physics 2025-09-18 Jacopo Simoni , Gabriele Riva , Yuan Ping

We present a simple methodology to compute the spontaneous volume magnetostriction with first-principles calculations on the basis of the magnetoelastic energy. This method makes use of deformations of the unit cell only at the…

Materials Science · Physics 2023-01-23 P. Nieves , S. Arapan , D. Legut
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