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We have developed a fully consistent framework for calculations in the Quasiparticle Random Phase Approximation (QRPA) with $NN$ interactions from the Similarity Renormalization Group (SRG) and other unitary transformations of realistic…

Nuclear Theory · Physics 2011-07-04 H. Hergert , P. Papakonstantinou , R. Roth

Electrons in materials containing heavy elements are fundamentally relativistic and should in principle be described using the Dirac equation. However, the current standard for treatment of electrons in such materials involves density…

Materials Science · Physics 2023-12-08 Ann E. Mattsson , Daniel A. Rehn

The correct description of nondynamic correlation by electronic structure methods not belonging to the multireference family is a challenging issue. The transition of $D_{2h}$ to $D_{4h}$ symmetry in H$_4$ molecule is among the most simple…

Chemical Physics · Physics 2017-11-16 Eloy Ramos-Cordoba , Xabier Lopez , Mario Piris , Eduard Matito

Frustrated triangular molecular magnets (MMs) with anti-ferromagnetic ground states (GS) are an important class of magnetic systems with potential applications in quantum information processing. The two-fold degenerate GS of these…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 M. F. Islam , Kushantha P. K. Withanage , C. M. Canali , Mark R. Pederson

The GW approximation is a cornerstone of many-body perturbation theory for computing single-particle excitations, yet it fundamentally breaks down in strongly correlated systems where the single-reference picture fails. To overcome this…

Chemical Physics · Physics 2026-04-20 Yuqi Wang , Wei-Hai Fang , Zhendong Li

In many cases, the relativistic spin-orbit (SO) interaction is regarded to be small and can be treated using perturbation theory. The major obstacle on this route comes from the fact that the SO interaction can also polarize the electron…

Strongly Correlated Electrons · Physics 2014-07-23 I. V. Solovyev

A method and codes for two-step correlation calculation of heavy-atom molecules have been developed, employing the generalized relativistic effective core potential and relativistic coupled cluster (RCC) methods at the first step, followed…

Chemical Physics · Physics 2009-11-07 A. N. Petrov , N. S. Mosyagin , T. A. Isaev , A. V. Titov , V. F. Ezhov , E. Eliav , U. Kaldor

We present the first implementation of the relativistic quantum chemical two- and four-component density matrix renormalization group algorithm that includes a variational description of scalar-relativistic effects and spin-orbit coupling.…

Chemical Physics · Physics 2014-06-03 Stefan Knecht , Ors Legeza , Markus Reiher

We discuss by analytic means the theory of the high-density limit of the unpolarized two-dimensional electron liquid in the presence of Rashba or Dresselhaus spin-orbit coupling. A generalization of the ring-diagram expansion is performed.…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Stefano Chesi , Gabriele F. Giuliani

Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas non-relativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit…

Nuclear Theory · Physics 2016-08-24 J. -P. Ebran , A. Mutschler , E. Khan , D. Vretenar

Transcorrelation (TC) techniques effectively enhance convergence rates in strongly correlated fermionic systems by embedding electron-electron cusp into the Jastrow factor of similarity transformations, yielding a non-Hermitian, yet…

Quantum Physics · Physics 2025-03-19 Bruna G. M. Araújo , Antonio M S Macedo

Non-covalent interactions (NCIs) play a crucial role in biology, chemistry, material science, and everything in between. To improve pure quantum-chemical simulations of NCIs, we propose a methodology for constructing approximate correlation…

It is known that the nuclear-spin-dependent parity-violating contributions to the NMR shielding and the nuclear spin-rotation tensors (${\bf \sigma}^{PV}$ and ${\bf M}^{PV}$, respectively) are formally related each other within the…

In this study, we report a comprehensive calculation of static dipole polarizabilities for group 12 elements using the finite-field approach in conjunction with the relativistic coupled-cluster method, including single, double, and…

Atomic Physics · Physics 2025-02-13 YingXing Cheng

In this paper, we consider the Dirac-Coulomb equation for many-particles, to describe the interaction between electrons in the system having many electrons. The four-component wave function will expanding into a finite basis-set, using…

Quantum Physics · Physics 2019-12-10 Bilal K. Jasim , Ayad A. Al-Ani , Saad N. Abood

By the use of complete orthonormal sets of nonrelativistic scalar orbitals introduced by the author in previous papers the new complete orthonormal basis sets for two-and four-component spinor wave functions, and Slater spinor orbitals…

Chemical Physics · Physics 2008-05-06 I. I. Guseinov

Using the complete orthonormal basis sets of nonrelativistic and quasirelativistic orbitals introduced by the author in previous papers for particles with arbitrary spin the new analytical relations for the -component relativistic tensor…

Chemical Physics · Physics 2007-12-27 I. I. Guseinov

A modified density matrix renormalization group (DMRG) algorithm is applied to the zigzag spin-1/2 chain with frustrated antiferromagnetic exchange $J_1$, $J_2$ between first and second neighbors. The modified algorithm yields accurate…

Strongly Correlated Electrons · Physics 2015-05-18 Manoranjan Kumar , Zoltan G. Soos , Diptiman Sen , S. Ramasesha

We calculate the spin and charge dynamical susceptibilities of a strongly correlated impurity model in a renormalised perturbation theory. The irreducible for vertices for the quasiparticle scattering are deduced from the renormalised…

Strongly Correlated Electrons · Physics 2016-08-31 A. C. Hewson

We present a new implementation of DMRG-based tailored coupled clusters method (TCCSD), which employs the domain-based local pair natural orbital approach (DLPNO-TCCSD). Compared to the previous LPNO version of the method, the new…

Chemical Physics · Physics 2020-05-08 Jakub Lang , Andrej Antalík , Libor Veis , Jan Brandejs , Jiří Brabec , Örs Legeza , Jiří Pittner