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Related papers: X2C Hamiltonian Models in ReSpect: Bridging Accura…

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We present a simple relativistic exact 2-component (X2C) Hamiltonian that models two-electron picture-change effects using Lehtola's superposition of atomic potentials (SAP) [S. Lehtola, J. Chem. Theory Comput. 15, 1593-1604 (2019)]. The…

Chemical Physics · Physics 2026-03-10 Kshitijkumar A. Surjuse , Edward F. Valeev

X-ray absorption spectroscopy (XAS) has gained popularity in recent years as it probes matter with high spatial and elemental sensitivity. However, the theoretical modelling of XAS is a challenging task since XAS spectra feature a fine…

Chemical Physics · Physics 2023-02-03 Lukas Konecny , Stanislav Komorovsky , Jan Vicha , Kenneth Ruud , Michal Repisky

The development of a novel exact two-component (X2C) scheme with the inclusion of the picture-change correction for the fluctuation potential, the X2Ccorr scheme, is reported, hereby establishing a hierarchy of X2C schemes with systematic…

Chemical Physics · Physics 2026-03-02 Xubo Wang , Sen Wang , Yixuan Wu , Lan Cheng

It is shown that four-component (4C), quasi-four-component (Q4C), and exact two-component (X2C) relativistic Hartree-Fock (HF) equations can be implemented in an unified manner, by making use of the atomic nature of the small components of…

Chemical Physics · Physics 2023-11-28 Wenjian Liu

We present a relativistic time-dependent density functional theory (TDDFT) approach for the simulation of resonant inelastic X-ray scattering (RIXS) spectra, based on both a full four-component (4c) Dirac-Coulomb Hamiltonian and a modern…

Chemical Physics · Physics 2026-04-17 Lukas Konecny , Muhammed A. Dada , Daniel R. Nascimento , Michal Repisky

A new computational framework for spinor-based relativistic exact two-component (X2C) calculations is developed using contracted basis sets with a spin-orbit contraction scheme. Generally contracted j-adapted basis sets using primitive…

Chemical Physics · Physics 2024-05-08 Chaoqun Zhang , Kirk A. Peterson , Kenneth G. Dyall , Lan Cheng

Materials utilized by novel energy systems are often studied using weakly correlated mean-field theories. However, if these systems incorporate heavy elements, relativistic effects must be included. Therefore a Kramers unrestricted Coupled…

Materials Science · Physics 2026-05-21 Luca Murg , Christopher Lane , Roxanne M. Tutchton

Modern challenges arising in the fields of theoretical and experimental physics require new powerful tools for high-precision electronic structure modelling; one of the most perspective tools is the relativistic Fock space coupled cluster…

Computational Physics · Physics 2020-12-08 Alexander V. Oleynichenko , Andréi Zaitsevskii , Ephraim Eliav

An approximate relativistic two-component Hamiltonian for use in molecular electronic structure calculations is derived in the form of a sum of fixed atom-centered kinetic and spin-orbit operators added to the non-relativistic Hamiltonian.…

Chemical Physics · Physics 2019-02-13 Dimitri N. Laikov

In parallel to the unified construction of relativistic Hamiltonians based solely on physical arguments [J. Chem. Phys. 160, 084111 (2024)], a unified implementation of relativistic wave function methods is achieved here via programming…

Chemical Physics · Physics 2024-07-26 Ning Zhang , Wenjian Liu

Precise calculations of core properties in heavy-atom systems which are described by the operators heavily concentrated in atomic cores, like to hyperfine structure and P,T-parity nonconservation effects, usually require accounting for…

Atomic Physics · Physics 2015-06-26 A. V. Titov , N. S. Mosyagin , A. N. Petrov , T. A. Isaev

Core-level spectra of 1s electrons of elements heavier than Ne show significant relativistic effects. We combine advances in orbital optimized DFT (OO-DFT) with the spin-free exact two-component (X2C) model for scalar relativistic effects,…

Chemical Physics · Physics 2022-04-19 Leonardo A. Cunha , Diptarka Hait , Richard Kang , Yuezhi Mao , Martin Head-Gordon

We present a scalable Bayesian framework for the analysis of confocal fluorescence spectroscopy data, addressing key limitations in traditional fluorescence correlation spectroscopy methods. Our framework captures molecular motion,…

Numerical Analysis · Mathematics 2024-11-07 Daniel McBride , Ioannis Sgouralis

Identifying model Hamiltonians is a vital step toward creating predictive models of materials. Here, we combine Bayesian optimization with the EDRIXS numerical package to infer Hamiltonian parameters from resonant inelastic X-ray scattering…

Strongly Correlated Electrons · Physics 2025-10-30 Marton K. Lajer , Xin Dai , Kipton Barros , Matthew R. Carbone , S. Johnston , M. P. M. Dean

We present an efficient algorithm for one- and two-component relativistic exact-decoupling calculations. Spin-orbit coupling is thus taken into account for the evaluation of relativistically transformed (one-electron) Hamiltonian. As the…

Chemical Physics · Physics 2013-05-10 Daoling Peng , Nils Middendorf , Florian Weigend , Markus Reiher

Recent advances in laser technology enable to follow electronic motion at its natural time-scale with ultrafast pulses, leading the way towards atto- and femtosecond spectroscopic experiments of unprecedented resolution. Understanding of…

Chemical Physics · Physics 2023-07-12 Marius Kadek , Lukas Konecny , Michal Repisky

In experimental physics, it is essential to understand electromagnetic (EM) wave scattering across EM spectrum, from radio waves to X-rays, and is pivotal in driving photonics innovations. Recent advancements have uncovered phenomena like…

Optics · Physics 2024-02-23 Deepanshu Trivedi , Arjuna Madanayake , Alex Krasnok

Model Hamiltonians are regularly derived from first-principles data to describe correlated matter. However, the standard methods for this contain a number of largely unexplored approximations. For a strongly correlated impurity model…

Theory can provide important support at all the stages of spectroscopic experiments, from planning the measurements to the interpretation of the results. Such support is particularly valuable for the challenging experiments on heavy,…

Atomic Physics · Physics 2025-09-19 L. F. Pašteka , E. Eliav , M. L. Reitsma , A. Borschevsky

We incorporate explicit, non-perturbative treatment of spin-orbit coupling into ab initio auxiliary-field quantum Monte Carlo (AFQMC) calculations. The approach allows a general computational framework for molecular and bulk systems in…

Strongly Correlated Electrons · Physics 2023-02-16 Brandon Eskridge , Henry Krakauer , Hao Shi , Shiwei Zhang
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