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Diffusion Monte Carlo is one of the most accurate scalable many-body methods for solid state systems. However, to date, spin-orbit interactions have not been incorporated into these calcualtions at a first-principles level; only having been…

Materials Science · Physics 2020-03-04 Yueqing Chang , Lucas K. Wagner

Evaluating multi-center molecular integrals with Cartesian Gaussian-type basis sets has been a long-standing bottleneck in electronic structure theory calculation for solids and molecules. We have developed a vector-coupling and…

Quantum Physics · Physics 2024-05-17 Hang Hu , Gilles Peslherbe , Hsu Kiang Ooi , Anguang Hu

Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

We introduce a novel energy functional for ground-state electronic-structure calculations. Its fundamental variables are the natural spin-orbitals of the implied singlet many-body wave function and their joint occupation probabilities. The…

Chemical Physics · Physics 2015-06-23 Ralph Gebauer , Morrel H. Cohen , Roberto Car

Orbital optimization procedure is widely called in electronic structure simulation. To efficiently find the orbital optimization solution, we developed a new second order orbital optimization algorithm, co-iteration augmented Hessian (CIAH)…

Chemical Physics · Physics 2017-01-11 Qiming Sun

The implementation of an efficient self-consistent field (SCF) method including both scalar relativistic effects and spin-orbit interaction in density functional theory (DFT) is presented. We make use of Gaussian-type orbitals (GTOs) and…

Chemical Physics · Physics 2024-05-03 Yannick J. Franzke , Werner M. Schosser , Fabian Pauly

Low-order hybridization expansion methods such as the non-crossing approximation (NCA) and the one-crossing approximation (OCA) are widely used impurity solvers in the study of strongly correlated systems, yet their accuracy in genuine…

Strongly Correlated Electrons · Physics 2026-05-05 Dolev Goldberger , Ido Zemach , Lei Zhang , Yang Yu , Emanuel Gull , Guy Cohen , André Erpenbeck

An accurate description of the two-electron density, crucial for magnetic coupling in spin systems, provides in general a major challenge for density functional theory calculations. It affects, e.g., the calculated zero-field splitting…

Quantum Physics · Physics 2020-05-06 Timur Biktagirov , Wolf Gero Schmidt , Uwe Gerstmann

An efficient O($N$) divide-conquer (DC) method based on localized natural orbitals (LNOs) is presented for large-scale density functional theories (DFT) calculations of gapped and metallic systems. The LNOs are non-iteratively calculated by…

Computational Physics · Physics 2019-01-02 Taisuke Ozaki , Masahiro Fukuda , Gengping Jiang

In this work, we performed extensive first-principles simulations of high-harmonic generation in the topological Diract semimetal Na3Bi using a time-dependent density functional theory framework, focusing on the effect of spin-orbit…

Materials Science · Physics 2021-03-18 Nicolas Tancogne-Dejean , Florian G. Eich , Angel Rubio

In atoms spin-orbit coupling (SOC) cannot raise the angular momentum above a maximum value or lower it below a minimum. Here we show that this need not be the case in materials built from nanoscale structures including multi-nuclear…

Strongly Correlated Electrons · Physics 2017-03-15 A. L. Khosla , A. C. Jacko , J. Merino , B. J. Powell

We present a combined group-theoretical and tight-binding approach to calculate the intrinsic spin-orbit coupling (SOC) in ABC stacked trilayer graphene. We find that compared to monolayer graphene, a larger set of d orbitals (in particular…

Mesoscale and Nanoscale Physics · Physics 2013-01-21 Andor Kormanyos , Guido Burkard

We devise and evaluate numerically a Hybrid High-Order (HHO) method for incremental associative plasticity with small deformations. The HHO method uses as discrete unknowns piecewise polynomials of order $k\ge1$ on the mesh skeleton,…

Computational Engineering, Finance, and Science · Computer Science 2019-02-20 Mickaël Abbas , Alexandre Ern , Nicolas Pignet

Spin-orbit coupling (SOC) plays an essential role in many exotic and interesting phenomena in condensed matter physics. In neutral-atom-based quantum simulations, synthetic SOC constitutes a key enabling element. The strength of SOC…

Quantum Gases · Physics 2017-05-03 Ling-Na Wu , Xin-Yu Luo , Zhi-Fang Xu , Masahito Ueda , Ruquan Wang , L. You

Anisotropic magnetic exchange interactions lead to a surprisingly rich variety of the magnetic properties. Considering the spin orbit coupling (SOC) as perturbation, we extract the general expression of a bilinear spin Hamiltonian,…

Materials Science · Physics 2023-08-29 Di Wang , Xiangyan Bo , Feng Tang , Xiangang Wan

We present a theoretical study of nonlocal magnetoelectric effects in diffusive hybrid structures with an intrinsic linear-in-momentum spin-orbit coupling (SOC) which is assumed to be spatially inhomogeneous. Our analysis is based on the…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Cristina Sanz-Fernández , Juan Borge , Ilya V. Tokatly , F. Sebastián Bergeret

We present a formulation and implementation of the DFT+\textit{U} method within the framework of linear combination of numerical atomic orbitals (NAO). Our implementation not only enables single-point total energy and electronic-structure…

Materials Science · Physics 2022-06-29 Xin Qu , Peng Xu , Hong Jiang , Lixin He , Xinguo Ren

We introduce a neural-network-based machine learning method to predict the effective spin-orbit coupling (SOC) strength in hole quantum dot arrays from standard charge stability diagrams. Specifically, we study a $2\times 2$ Ge hole quantum…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Jacob R. Taylor , Katharina Laubscher , Sankar Das Sarma

Spin-orbit coupling (SOC) in noncentrosymmetric materials is the source of incommensurate magnetic structures. In semiconductors, it drives the Rashba spin splitting and spin momentum locking, while in magnetic insulators based on…

Strongly Correlated Electrons · Physics 2026-01-08 Ryo Makuta , Chisa Hotta

Density functional theory with plane-wave basis sets is widely employed in computational materials science, including applications to isolated molecular systems. However, the inadequate description of electron correlation remains a…

Chemical Physics · Physics 2026-04-21 Qian Wang , Calvin Ku , Jyh-Pin Chou , Peng-Jen Chen , Alice Hu , Min-Hsiu Hsieh