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Density functional theory (DFT) provides a theoretical framework for efficient and fairly accurate calculations of the electronic structure of molecules and crystals. The main features of density functional theory are described and DFT…

Chemical Physics · Physics 2012-06-12 Hauke Paulsen , Alfred Xaver Trautwein

We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. In essence, CP-DFT determines the ground-state energy of a system by finding the CP density from a series of independent Kohn-Sham (KS) DFT…

Chemical Physics · Physics 2022-06-28 Ryan Pederson , Jielun Chen , Steven R. White , Kieron Burke

The knowledge of the local electronic structure of heterogeneous solid materials is crucial for understanding their electronic, magnetic, transport, optical, and other properties. VASP, one of the mostly used packages for density-functional…

Materials Science · Physics 2022-05-18 Lucas Lodeiro , Tomáš Rauch

Double hybrid density functional theory arguably sits on the seamline between wavefunction methods and DFT: it represents a special case of Rung 5 on the "Jacobs Ladder" of John P. Perdew. For large and chemically diverse benchmarks such as…

Chemical Physics · Physics 2020-10-16 Jan M. L. Martin , Golokesh Santra

The journey of theoretical study on semiconductors is reviewed in a non-conventional way. We have started with the basic introduction of Hartree-Fock method and introduce the fundamentals of Density Functional Theory (DFT). From the oldest…

Materials Science · Physics 2021-05-04 Sujoy Datta , Debnarayan Jana

Benchmarking the performance of quantum error correction codes in physical systems is crucial for achieving fault-tolerant quantum computing. Current methodologies, such as (shadow) tomography or direct fidelity estimation, fall short in…

Quantum Physics · Physics 2024-10-17 Junjie Chen , Pei Zeng , Qi Zhao , Xiongfeng Ma , You Zhou

Theoretical material investigation based on density functional theory (DFT) has been a breakthrough in the last century. Nevertheless, the optical properties calculated by DFT generally show poor agreement with experimental results…

Materials Science · Physics 2019-07-17 Mitsutoshi Nishiwaki , Hiroyuki Fujiwara

We derive a zero-range pseudopotential that includes all possible terms up to sixth order in derivatives. Within the Hartree-Fock approximation, it gives the average energy that corresponds to a quasi-local nuclear Energy Density Functional…

Nuclear Theory · Physics 2011-06-06 F. Raimondi , B. G. Carlsson , J. Dobaczewski

Scientific simulation codes are public property sustained by the community. Modern technology allows anyone to join scientific software projects, from anywhere, remotely via the internet. The phonopy and phono3py codes are widely used open…

Materials Science · Physics 2023-06-14 Atsushi Togo , Laurent Chaput , Terumasa Tadano , Isao Tanaka

We propose a systematic method of analyzing pseudopotential transferability based on linear-response properties of the free atom, including self-consistent chemical hardness and polarizability. Our calculation of hardness extends the…

mtrl-th · Physics 2009-10-28 A. Filippetti , David Vanderbilt , W. Zhong , Yong Cai , G. B. Bachelet

This is the first of a series of papers dedicated to unveil the mass composition and dynamical structure of a sample of flattened early type galaxies in the Coma cluster. We describe our modifications to the Schwarzschild code of Richstone…

Astrophysics · Physics 2009-11-10 J. Thomas , R. P. Saglia , R. Bender , D. Thomas , K. Gebhardt , J. Magorrian , D. Richstone

In physics, it is sometimes desirable to compute the so-called \emph{Density Of States} (DOS), also known as the \emph{spectral density}, of a real symmetric matrix $A$. The spectral density can be viewed as a probability density…

Numerical Analysis · Mathematics 2014-10-07 Lin Lin , Yousef Saad , Chao Yang

Faithful representations of atomic environments and general models for regression can be harnessed to learn electron densities that are close to the ground state. One of the applications of data-derived electron densities is to orbital-free…

Materials Science · Physics 2019-03-01 Andrew T. Fowler , Chris J. Pickard , James A. Elliott

We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and for the remaining queries, the decoder…

Data Structures and Algorithms · Computer Science 2010-01-27 Victor Chen , Elena Grigorescu , Ronald de Wolf

We present an implementation in a linear-scaling density-functional theory code of an electronic enthalpy method, which has been found to be natural and efficient for the ab initio calculation of finite systems under hydrostatic pressure.…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 Niccolò R. C. Corsini , Andrea Greco , Nicholas D. M. Hine , Carla Molteni , Peter D. Haynes

Density functional theory (DFT) is an incredible success story. The low computational cost, combined with useful (but not yet chemical) accuracy, has made DFT a standard technique in most branches of chemistry and materials science.…

Chemical Physics · Physics 2015-06-03 Kieron Burke

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data…

Data Analysis, Statistics and Probability · Physics 2015-02-27 Anton Poluektov

A recently proposed linear-scaling scheme for density-functional pseudopotential calculations is described in detail. The method is based on a formulation of density functional theory in which the ground state energy is determined by…

mtrl-th · Physics 2009-10-28 E. Hernandez , C. M. Goringe , M. J. Gillan

Constructing an accurate atomistic model for the high-pressure phases of tin (Sn) is challenging because properties of Sn are sensitive to pressures. We develop machine-learning-based deep potentials for Sn with pressures ranging from 0 to…

Materials Science · Physics 2023-05-12 Tao Chen , Fengbo Yuan , Jianchuan Liu , Huayun Geng , Linfeng Zhang , Han Wang , Mohan Chen

Using a hydrogen molecule as a test system we demonstrate how to compute the effective potential according to the formalism of the new density functional theory (DFT), in which the basic variable is the set of spherically averaged densities…

Chemical Physics · Physics 2020-09-22 K. Kokko , Á. Nagy , J. Huhtala , T. Björkman , L. Vitos
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