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Hyperfine-structure constants of odd Ra$^{+}$ due to the interactions of nuclear magnetic dipole, electric quadrupole, and magnetic octupole moments with the electrons are investigated in the framework of relativistic coupled-cluster method…

Atomic Physics · Physics 2021-03-16 Fei-Chen Li , Yong-Bo Tang , Hao-Xue Qiao , Ting-Yun Shi

Hyperfine structure parameters are calculated for the 2p2(3P)3s 4P_J, 2p2(3P)3p 4Po_J and 2p2(3P)3p 4Do_J levels, using the ab initio multiconfiguration Hartree-Fock method. The theoretical hyperfine coupling constants are in complete…

Atomic Physics · Physics 2015-05-18 P Jönsson , T Carette , M Nemouchi , M Godefroid

The spin-lattice relaxation rate $1/T_1$ and the spin echo decay rate $1/T_{2G}$ for the spin-$1\over 2$ antiferromagnetic Heisenberg chain are calculated using quantum Monte Carlo and maximum entropy analytic continuation. The results are…

Condensed Matter · Physics 2009-10-28 Anders W. Sandvik

A linear-scaling algorithm is presented for computing the Hartree-Fock (HF) exchange matrix using concentric atomic density fitting. The algorithm utilizes the stronger distance dependence of the three-center electron repulsion integrals…

Chemical Physics · Physics 2014-10-21 David S. Hollman , Henry F. Schaefer , Edward F. Valeev

We present a symmetry-adapted perturbation theory (SAPT) for the interaction of two high-spin open-shell molecules (described by their restricted open-shell Hartree-Fock determinants) resulting in low-spin states of the complex. The…

Chemical Physics · Physics 2018-05-23 Konrad Patkowski , Piotr S. Żuchowski , Daniel G. A. Smith

${\cal H}^2$-matrix constitutes a general mathematical framework for efficient computation of both partial-differential-equation and integral-equation-based operators. Existing linear-complexity ${\cal H}^2$ matrix-matrix product (MMP)…

Numerical Analysis · Mathematics 2019-08-15 Miaomiao Ma , Dan Jiao

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

Strongly Correlated Electrons · Physics 2007-05-23 D. J. J. Farnell , R. F. Bishop

This work presents a first time accurate calculation of the magnetic dipole hyperfine structure constants for the ground state and some low-lying excited states of Pb$^+$. By comparing different levels of approximation with experimental…

Atomic Physics · Physics 2009-11-10 Bijaya K. Sahoo , Rajat K. Chaudhuri , B. P. Das , Holger Merlitz , Debashis Mukherjee

Quantum chemical methods dealing with challenging systems while retaining low computational costs have attracted attention. In particular, many efforts have been devoted to developing new methods based on the second-order perturbation that…

Chemical Physics · Physics 2023-10-30 Nhan Tri Tran , Hoang Thanh Nguyen , Lan Nguyen Tran

We use the recently-developed Heat-bath Configuration Interaction (HCI) algorithm as an efficient active-space solver to perform multi-configuration self-consistent field calculations (HCISCF) with large active spaces. We give a detailed…

Chemical Physics · Physics 2018-11-08 James E. T. Smith , Adam A. Holmes , Bastien Mussard , Sandeep Sharma

A high precision determination of the strong coupling constant in the MS-bar scheme at the Z-mass scale, using low energy quantities, namely pion/kaon decay constants and masses, as experimental input is presented. The computation employs…

High Energy Physics - Lattice · Physics 2018-04-18 Tomasz Korzec

The study of hyperfine interactions in optically excited fullerenes has recently acquired importance within the context of nuclear spin entanglement for quantum information technology. We here report a first-principles pseudopotential study…

Quantum Physics · Physics 2015-06-03 Vasileia Filidou , Davide Ceresoli , John J. L. Morton , Feliciano Giustino

We introduce HP, an implementation of density-functional perturbation theory, designed to compute Hubbard parameters (on-site $U$ and inter-site $V$) in the framework of DFT+$U$ and DFT+$U$+$V$. The code does not require the use of…

Materials Science · Physics 2022-07-11 Iurii Timrov , Nicola Marzari , Matteo Cococcioni

We develop analytical methods for computing the structure constant for three heavy operators, starting from the recently proposed hexagon approach. Such a structure constant is a semiclassical object, with the scale set by the inverse…

High Energy Physics - Theory · Physics 2016-11-23 Yunfeng Jiang , Shota Komatsu , Ivan Kostov , Didina Serban

We present a spin-rotation-invariant Green-function theory for the dynamic spin susceptibility in the spin-1/2 antiferromagnetic Heisenberg model on a stacked honeycomb lattice. Employing a generalized mean-field approximation for arbitrary…

Strongly Correlated Electrons · Physics 2017-03-27 A. A. Vladimirov , D. Ihle , N. M. Plakida

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

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

Quantum spin-1/2 antiferromagnetic Heisenberg trimerized chain with strong intradimer and weak monomer-dimer coupling constants is studied using the novel many-body perturbation expansion, which is developed from the exactly solved spin-1/2…

Statistical Mechanics · Physics 2021-05-25 Taras Verkholyak , Jozef Strecka

We study the Heisenberg $S=1/2$ chain with random ferro- and antiferromagnetic couplings using quantum Monte Carlo simulations at ultra-low temperatures, converging to the ground state. Finite-size scaling of correlation functions and…

Strongly Correlated Electrons · Physics 2025-02-26 Sibei Li , Hui Shao , Anders W. Sandvik

In this work, we investigate the possibility of improving multireference-driven coupled cluster (CC) approaches with an algorithm that iteratively combines complete active space (CAS) calculations with tailored CC and externally corrected…

Chemical Physics · Physics 2025-03-06 Robin Feldmann , Max Mörchen , Jakub Lang , Michał Lesiuk , Markus Reiher