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A new reference state for density functional theory, termed the independent atom ansatz, is introduced in this work. This ansatz allows for the exact representation of electron density in terms of non-interacting, atom-localized orbitals.…

Chemical Physics · Physics 2024-05-03 Alexander V. Mironenko

We study effects of electron-electron interactions on the steady-state characteristics of a hexagonal molecular ring in a magnetic field, as a model for a benzene molecular junction. The system is driven out of equilibrium by applying a…

Strongly Correlated Electrons · Physics 2014-05-07 Martin Nuss , Wolfgang von der Linden , Enrico Arrigoni

We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting with the quantized radiation field and several fixed nuclei with total charge Z has a ground state when N <Z+1. The result holds for any value of the…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

The molecular-crystal model, that describes a one-dimensional electron gas interacting with quartic anharmonic lattice vibrations, offers great potentials in the mapping of a relatively wide range of low-dimensional fermion systems coupled…

Strongly Correlated Electrons · Physics 2010-07-15 Alain Moise Dikande

An effective Hamiltonian without symmetry restriction has been developed to model the rotational and fine structure of two nearly degenerate electronic states of an open-shell molecule. In addition to the rotational Hamiltonian for an…

Chemical Physics · Physics 2018-04-18 Jinjun Liu

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static…

Quantum Physics · Physics 2023-06-21 Takahiro Orito , Ken-Ichiro Imura

The computational and theoretical analysis carried out in this article demonstrates the existence of a nontrivial mechanism for the compression of a submicron-sized gas bubble formed by a gas of classical ions and a gas of degenerate…

It is demonstrated that under common conditions a molecular solid subject to Jahn-Teller interactions supports stable Q-ball-like non-topological solitons. Such solitons represent a localized lump of excess electric charge in periodic…

Materials Science · Physics 2007-05-23 Dennis P. Clougherty

We derive the spin Boltzmann equations for spin-1/2 fermions in a non-relativistic model with four-fermion contact interaction which conserves spin degrees of freedom. A great advantage of the model is that the spin matrix elements in…

Nuclear Theory · Physics 2022-12-07 Wen-Bo Dong , Yi-Liang Yin , Qun Wang

A simple approximation to shell model is proposed in which the low energy excitation spectra corresponds to the identical nucleons occupying the same single particle states where they preferred to form pairs for the ground states. We call…

Nuclear Theory · Physics 2008-10-08 S. Haq , Y. Sadeq , I. M. Hamammu

We use determinant quantum Monte Carlo to study the single particle properties of quasiparticles and phonons in a variant of the two-dimensional Holstein model that includes an additional non-linear electron-phonon (e-ph) interaction. We…

Superconductivity · Physics 2015-08-12 Shaozhi Li , E. A. Nowadnick , S. Johnston

A reflection-asymmetric deformed oscillator potential is analysed from the classical and quantum mechanical point of view. The connection between occurrence of shell structures and classical periodic orbits is studied using the ''removal of…

Nuclear Theory · Physics 2015-06-26 W. Dieter Heiss , Rashid G. Nazmitdinov , Stefanel Radu

New emergent states of matter in quantum systems may be created under non-equilibrium conditions if - through many body interactions - its constituents order on a timescale which is shorter than the time required for the system to reach…

Strongly Correlated Electrons · Physics 2021-02-15 Yaroslav Gerasimenko , Igor Vaskivskyi , Jan Ravnik , Jaka Vodeb , Viktor V. Kabanov , Dragan Mihailovic

We present the results of the application of a nuclear potential consisting of two- and three-nucleon contact interactions in nuclear structure investigations. The nuclear Hamiltonian has been derived for a very low-energy regime within the…

Nuclear Theory · Physics 2025-11-25 Songlin Lyu , Francesco Amodio , Giovanni De Gregorio , Nunzio Itaco , Luigi Coraggio

The Hatano-Nelson and the non-Hermitian Su-Schrieffer-Heeger model are paradigmatic examples of non-Hermitian systems that host non-trivial boundary phenomena. In this work, we use recently developed graph-theoretical tools to design…

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet

I review the main features of the nuclear response extracted from electron scattering data. The emerging picture clearly shows that the shell model does not provide a fully quantitative description of nuclear dynamics. On the other hand,…

Nuclear Theory · Physics 2009-11-10 Omar Benhar

Understanding the joint dynamics of electron and nuclear spins is central to core concepts in solid-state magnetic resonance - such as spin-lattice relaxation and dynamic nuclear polarization - but a generalization that capitalizes on…

Quantum Physics · Physics 2021-06-16 Santiago Bussandri , Pablo R. Zangara , Rodolfo H. Acosta , Carlos A. Meriles

In previous papers we showed that a division of the f-shell into two subsystems gives a better understanding of cohesive properties as well the general behavior of lanthanide systems. In this paper we present numerical computations using…

Strongly Correlated Electrons · Physics 2007-05-23 U. Lundin , I. Sandalov , O. Eriksson

Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of…

Quantum Physics · Physics 2016-09-08 S. Sivakumar