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Coulomb interactions that occur in electronic structure calculations are correlated by allowing basis function components of the interacting densities to polarize, thereby reducing the magnitude of the interaction. Exchange integrals of…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

In this paper we review some recent results on nonlocal interaction problems. The focus is on interaction kernels that are anisotropic variants of the classical Coulomb kernel. In other words, while preserving the same singularity at zero…

Analysis of PDEs · Mathematics 2026-01-14 Maria Giovanna Mora

Entropic entanglement measures of a two-dimensional system of two Coulombically interacting particles confined in an anisotropic harmonic potential are discussed in dependence on the anisotropy and the interaction strength. The harmonic…

Quantum Physics · Physics 2017-07-18 Przemyslaw Koscik , Anna Okopinska

Multipole degrees of freedom describe the mutual interplay among the charge, spin, and orbital degrees of freedom in electrons, which provides a microscopic understanding of unconventional electronic orderings and their associated physical…

Strongly Correlated Electrons · Physics 2025-06-13 Ryota Yambe , Satoru Hayami

A quantitative description of the configurational part of the total energy of metallic alloys with substantial atomic size difference cannot be achieved in the atomic sphere approximation: It needs to be corrected at least for the multipole…

Materials Science · Physics 2009-11-07 A. V. Ruban , S. I. Simak , P. A. Korzhavyi , H. L. Skriver

The presence of quantum multipartite entanglement implies the existence of a thermodynamic quantity known as the ergotropic gap, which is defined as the difference between the maximal global and local extractable works from the system. We…

Quantum Physics · Physics 2024-06-25 Xue Yang , Yan-Han Yang , Shao-Ming Fei , Ming-Xing Luo

Coulomb interaction has important consequences on the physics of quantum spin Hall edge states, weakening the topological protection via two-particle scattering and renormalizing both the velocity and charge of collective plasmon modes…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Alexandre Gourmelon , Hiroshi Kamata , Jean-Marc Berroir , Gwendal Fève , Bernard Plaçais , Erwann Bocquillon

This paper derives the anisotropic superexchange interactions from a Hubbard model for excitations within the copper 3d band and the oxygen 2p band of the undoped insulating cuprates. We extend the recent calculation of Yildirim et al.…

Condensed Matter · Physics 2009-10-28 O. Entin-Wohlman , A. B. Harris , Amnon Aharony

We derive a general effective many-body theory for bosonic polar molecules in strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional…

Other Condensed Matter · Physics 2008-05-08 Daw-Wei Wang

A variety of electrostatic phenomena, including the structure of electric double layers and the aggregation of charged colloids and proteins, are affected by nonuniform electric permittivity. These effects are frequently ignored in…

Soft Condensed Matter · Physics 2018-10-17 Huanxin Wu , Erik Luijten

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

We provide a tight-binding model parametrization for black phosphorus (BP) with an arbitrary number of layers. The model is derived from partially self-consistent $GW_0$ approach, where the screened Coulomb interaction $W_0$ is calculated…

Materials Science · Physics 2015-08-19 A. N. Rudenko , Shengjun Yuan , M. I. Katsnelson

Quantum gases of ultracold polar molecules have novel properties because of the strong dipolar forces between molecules. Current experiments shield the molecules from destructive collisions by engineering long-range repulsive interactions…

Quantum Gases · Physics 2025-09-26 Bijit Mukherjee , Luis Santos , Jeremy M. Hutson

By extending the concept of Euler-angle rotations to more than three dimensions, we develop the systematics under rotations in higher-dimensional space for a novel set of hyperspherical harmonics. Applying this formalism, we determine all…

Atomic and Molecular Clusters · Physics 2015-06-26 T. A. Heim , D. Green

We address the technologically important issue of the spin orientation on a correlated magnetic surface and how to manipulate it. We consider a prototypical strongly correlated system, NiO, and show that a single particle approach with…

Strongly Correlated Electrons · Physics 2025-07-24 Subhra Sen Gupta , Shinjini Paul , Suman Mandal , D. D. Sarma , Priya Mahadevan

We generalize the classic calculations by Rytova and Keldysh of screened Coulomb interaction in semiconductor thin films to systems with anisotropic permittivity tensor. Explicit asymptotic expressions for electrostatic potential energy of…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Andrei Galiautdinov

Renormalization of the Coulomb interaction in layered metals results in a strongly anisotropic plasma mode with low frequencies for small components of wave vector in the in-plane direction. Interaction of electrons with this mode was found…

Superconductivity · Physics 2007-05-23 S. N. Artemenko , S. V. Remizov

We apply relativistic many-body methods to compute static differential polarizabilities for transitions inside the ground-state hyperfine manifolds of monovalent atoms and ions. Knowing this transition polarizability is required in a number…

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

The interaction of an electron with a local static charge distribution (e.g., an atom or molecule) is dominated at large distances by the radial 1/r Coulomb potential. The second order effect comes from the non-central electric dipole…

Quantum Physics · Physics 2023-02-08 A. D. Alhaidari , H. Bahlouli

We obtain a microscopic description of the interaction between electron spins in bulk semiconductors and in pairs of semiconductor quantum dots. Treating the k.p band mixing and the Coulomb interaction on the same footing, we obtain in the…

Other Condensed Matter · Physics 2007-05-23 Ş. C. Bădescu , Y. Lyanda-Geller , T. L. Reinecke