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To facilitate the relativistic heavy-ion calculations based on transport equations, the binary collisions involving a $\Delta$ resonance in either the entrance channel or the exit channel are investigated within a Hamiltonian formulation of…

Nuclear Theory · Physics 2008-11-26 T. -S. H. Lee

Fundamental flaws in the Heisenberg Hamiltonian are highlighted in the context of its application to BCC Fe, including the particular issues arising when modelling lattice defects. Exchange integrals are evaluated using the magnetic force…

Materials Science · Physics 2021-01-04 Jacob B. J. Chapman , Pui-Wai Ma , Sergei L. Dudarev

We present the implementation of relativistic coupled cluster quadratic response theory (QR-CC), following our development of relativistic equation of motion coupled cluster quadratic response theory (QR-EOMCC) [X. Yuan et al., J. Chem.…

Chemical Physics · Physics 2025-11-17 Xiang Yuan , Loïc Halbert , Lucas Visscher , André Severo Pereira Gomes

The calculation of interatomic magnetic exchange interactions entering the Heisenberg model from the standpoint of the density functional theory (DFT) is outlined for two Fe-based molecular magnets: a trinuclear complex with a Schiff base…

Materials Science · Physics 2007-05-23 A. V. Postnikov , G. Bihlmayer , S. Bluegel

In the spirit of multi-scale modeling, we develop a theoretical framework for spin-lattice coupling that connects, on the one hand, to ab initio calculations of spin-lattice coupling parameters and, on the other hand, to the magneto-elastic…

We introduce a perturbative approximation to the combined density functional theory and multireference configuration interaction (DFT/MRCI) method. The method, termed DFT/MRCI(2), results from the application of quasi-degenerate…

Chemical Physics · Physics 2022-11-09 Simon P. Neville , Michael S. Schuurman

We study the spin-polarization mechanism in the highly dense nuclear matter with the relativistic mean-field approach. In the relativistic Hartree-Fock framework we find that there are two kinds of spin-spin interaction channels, which are…

Nuclear Theory · Physics 2009-11-06 Tomoyuki Maruyama , Toshitaka Tatsumi

Reduced density-matrix functional theory (RDMFT) provides a variational route to electronic correlations beyond conventional density-functional approximations, but explicit evaluations of density-matrix functionals still scale exponentially…

Chemical Physics · Physics 2026-05-19 Konstantin Tamoev , Robert Schade , Thomas D. Kühne

A three-dimensional chiral helimagnet is analyzed using a mean-field (MF) analysis and a classical Monte Carlo (MC) simulation at finite temperatures. We consider a Hamiltonian containing Heisenberg exchange and uni-axial…

Strongly Correlated Electrons · Physics 2016-06-30 Misako Shinozaki , Shintaro Hoshino , Yusuke Masaki , Jun-ichiro Kishine , Yusuke Kato

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

Chemical Physics · Physics 2012-10-26 Christoph R. Jacob , Markus Reiher

We implement a multi-orbital cluster dynamical mean-field theory (DMFT), by improving a sample-update algorithm in the continuous-time quantum Monte Carlo method based on the interaction expansion. The proposed sampling scheme for the…

Strongly Correlated Electrons · Physics 2014-08-20 Yusuke Nomura , Shiro Sakai , Ryotaro Arita

A hybrid Kohn-Sham Density Functional Theory (KS-DFT) and 1-electron Reduced Density Matrix Functional Theory (1-RDMFT) has recently been developed to describe strongly correlated systems at mean-field computational cost. This approach…

Computational Physics · Physics 2025-04-14 Daniel Gibney , Jan-Niklas Boyn

The Breit correction, the finite-light-speed correction for the Coulomb interaction of the electron-electron interaction in $ O \left( 1/ c^2 \right) $, is introduced to density functional theory (DFT) based on the non-relativistic…

Computational Physics · Physics 2020-10-20 Tomoya Naito , Ryosuke Akashi , Haozhao Liang , Shinji Tsuneyuki

We analyze second-order $M1$-$M1$ and $M1$-$E2$ effects to the hyperfine structure (HFS) of the lowest energy $P$ states of alkali-metal atoms arising from the coupling of the two ($J=1/2,3/2$) fine-structure levels through the hyperfine…

Atomic Physics · Physics 2011-07-13 K. Beloy , A. Derevianko

We present the combination of Density Functional Theory (DFT) and Dynamical Mean Field Theory (DMFT) for computing the electron transmission through two-terminals nanoscale devices. The method is then applied to metallic junctions…

Strongly Correlated Electrons · Physics 2022-09-14 Andrea Droghetti , Milos M. Radonjić , Liviu Chioncel , Ivan Rungger

In this work, we discuss the nature of Dzyaloshinskii-Moriya interaction (DMI) in transition metal heterostructures. We first derive the expression of DMI in the small spatial gradient limit using Keldysh formalism. This derivation provides…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ahmed Hajr , Abdulkarim Hariri , Guilhem Manchon , Sumit Ghosh , Aurelien Manchon

In this work we demonstrate that the heat bath configuration interaction (HCI) and its semistochastic extension can be used to treat relativistic effects and electron correlation on an equal footing in large active spaces to calculate the…

Chemical Physics · Physics 2018-11-08 Bastien Mussard , Sandeep Sharma

Effects of the relativistic correction of the Coulomb interaction on doubly-magic nuclei are discussed with Skyrme Hartree--Fock calculations. The relativistic correction is treated by using the local density approximation. It is found that…

Nuclear Theory · Physics 2022-09-28 Tomoya Naito

The dual-fermion approach provides a formally exact prescription for calculating properties of a correlated electron system in terms of a diagrammatic expansion around dynamical mean-field theory (DMFT). Most practical implementations,…

Strongly Correlated Electrons · Physics 2017-08-02 Jan Gukelberger , Evgeny Kozik , Hartmut Hafermann

It is known for quite some time that approximate density functional (ADF) theories fail disastrously when describing the dis-sociative symmetric radical cations R2+. Considering this dissociation limit, previous work has shown that…

Materials Science · Physics 2016-09-28 Ester Livshits , Roi Baer