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Related papers: Charge centers in CaF$_2$: Ab initio calculation o…

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Charge ordering (CO) is a phenomenon in which electrons in solids crystallize into a periodic pattern of charge-rich and charge-poor sites owing to strong electron correlations. This usually results in long-range order. In geometrically…

We revisit the well-known Mollwo-Ivey relation that describes the "universal" dependence of the absorption energies of F-type color centers on the lattice constant $a$ of the alkali-halide crystals, $E_{\mbox{abs}}\propto a^{-n}.$ We…

Materials Science · Physics 2015-10-21 P. Tiwald , F. Karsai , R. Laskowski , S. Gräfe , P. Blaha , J. Burgdörfer , L. Wirtz

We consider a system of $N$ hard spheres sitting on the nodes of either the $\mathrm{FCC}$ or $\mathrm{HCP}$ lattice and interacting via a sticky-disk potential. As $N$ tends to infinity (continuum limit), assuming the interaction energy…

Analysis of PDEs · Mathematics 2023-07-26 Marco Cicalese , Leonard Kreutz , Gian Paolo Leonardi

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and…

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

We consider a realistic model, i.e., ultracold atoms in a driven optical lattice, to realize phase space crystals [Phys. Rev. Lett. 111, 205303 (2013)]. The corresponding lattice structure in phase space is more complex and contains rich…

Quantum Gases · Physics 2016-02-02 Lingzhen Guo , Michael Marthaler

Photonic crystals are periodic systems that consist of dielectrics with different refractive indices. They are designed to act on photons in contrast to semiconductor crystals whose periodicity affects the motion of electrons. Here we…

Materials Science · Physics 2012-06-07 Renat Kh. Gainutdinov , Marat A. Khamadeev , Myakzyum Kh. Salakhov

Electronic states in a crystal can localize due to strong electron-phonon (e-ph) interactions, forming so-called small polarons. Methods to predict the formation and energetics of small polarons are either computationally costly or not…

Materials Science · Physics 2021-06-30 Nien-En Lee , Hsiao-Yi Chen , Jin-Jian Zhou , Marco Bernardi

We propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

Other Condensed Matter · Physics 2008-07-01 Johan Mentink , Servaas Kokkelmans

We investigate connections between the continuum and atomistic descriptions of deformable crystals, using certain interesting results from number theory. The energy of a deformed crystal is calculated in the context of a lattice model with…

Mathematical Physics · Physics 2020-07-02 Phoebus Rosakis

We calculate single atom heating rates in a far detuned optical lattice, in connection with recent experiments. We first derive a master equation, including a realistic atomic internal structure and a quantum treatment of the atomic motion…

Quantum Gases · Physics 2015-05-18 Fabrice Gerbier , Yvan Castin

The electronic structure of fluorite crystals are studied by means of density functional theory within the local density approximation for the exchange correlation energy. The ground-state electronic properties, which have been calculated…

Materials Science · Physics 2011-08-01 Emiliano Cadelano , Giancarlo Cappellini

The thermodynamics of the lattice model of intercalation of ions in crystals is considered in the mean field approximation. Pseudospin formalism is used for the description of interaction of electrons with ions and the possibility of…

Strongly Correlated Electrons · Physics 2009-07-08 T. S. Mysakovych , V. O. Krasnov , I. V. Stasyuk

The F' center in an alkali halide forms when an anion vacancy traps two electrons which is the prerequisite of a diatomic molecule. Indeed, the center may displace left or right along <110> in a (110) plane, due to its coupling to the…

Materials Science · Physics 2007-05-23 Mladen Georgiev

We apply the Dynamical Mean Field Theory to the problem of charge ordering. In the normal state as well as in the Charge Ordered (CO) state the existence of polarons, i.e. electrons strongly coupled to local lattice deformation, is…

Strongly Correlated Electrons · Physics 2009-10-31 S. Ciuchi , F. de Pasquale

We study a 1D lattice Hamiltonian, relevant for a wide range of interesting physical systems like, e.g., the quantum-Hall system, cold atoms or molecules in optical lattices, and TCNQ salts. Through a tuning of the interaction parameters…

Strongly Correlated Electrons · Physics 2012-10-29 Emma Wikberg

The calculations of the charge distribution in C$_{60}$-based FET structure are presented. A simple model is proposed to describe the distribution of the injected electrons or holes between two-dimensional layers. The calculations show that…

Superconductivity · Physics 2007-05-23 V. A. Kuprievich , O. L. Kapitanchuk , O. V. Shramko

We consider the resonant interaction energy and force between two identical atoms, one in an excited state and the other in the ground state, placed inside a photonic crystal. The atoms, having the same orientation of their dipole moment,…

Polarons, quasiparticles formed through interactions between lattice and charge carriers (electrons and holes), strongly influence the electronic and optical properties of functional materials. In nanostructured BiVO$_{4}$, polaron…

Materials Science · Physics 2025-11-26 Seyeon Park , Yajing Zhang , Michele Reticcioli , Cesare Franchini , Bongjae Kim

We report on a lattice calculation demonstrating a novel new method to extract the electric polarizability of charged pseudo-scalar mesons by analyzing two point correlation functions computed in classical background electric fields.

High Energy Physics - Lattice · Physics 2010-11-05 William Detmold , Brian C. Tiburzi , Andre Walker-Loud

We present a virtual ionic crystal (VIC) method to calculate energies of charged point defects on surfaces. No artificial charge but an actual zero-dimensional (0D) species is introduced to charge a defect. Effect of dielectric substrate on…

Mesoscale and Nanoscale Physics · Physics 2016-06-15 Feifei Li , Zhenpeng Hu , Ziping Niu , Lixin Zhang