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Recently, it has been shown that the ground-state energy of a quantum many-body system can be written in terms of cumulants. In this paper we show that the energies of excited states can be expressed similarly. These representations are…

Condensed Matter · Physics 2007-05-23 T. Schork , P. Fulde

In systems with linear electron-phonon interaction (EPI), bound states of polarons, or bipolarons, form by gaining energy from the lattice deformation. The quadratic EPI case is fundamentally different: bipolarons form because electrons…

Strongly Correlated Electrons · Physics 2025-01-14 Zhongjin Zhang , Anatoly Kuklov , Nikolay Prokof'ev , Boris Svistunov

We consider a system of two-dimensional electrons strongly localized by disorder. Interactions create a gap in the average tunneling density of states $\nu(E)$ at energies, E, close to the Fermi level. We derive a system of self-consistent…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Ya. M. Blanter , M. E. Raikh

Electron-correlation effects on cohesive energy, lattice constant and bulk compressibility of rutile are calculated using an ab-initio scheme. A competition between the two groups of partially covalent Ti-O bonds is the reason that the…

Materials Science · Physics 2009-10-31 Krzysztof Rosciszewski , Klaus Doll , Beate Paulus , Peter Fulde , Hermann Stoll

The author suggests an approach based on the separation of total energy of multielectron systems into the semi-classical Coulomb part and the non-classical additional part. This approach allows on the one hand to simplify calculations and…

Atomic Physics · Physics 2008-11-04 Vadim Kavera

We investigate the effect of electron-electron interaction on the temperature dependence of the Hall coefficient of 2D electron gas at arbitrary relation between the temperature $T$ and the elastic mean-free time $\tau$. At small…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gabor Zala , B. N. Narozhny , I. L. Aleiner

In highly correlated systems one can define an optical self energy in analogy to its quasiparticle (QP) self energy counterpart. This quantity provides useful information on the nature of the excitations involved in inelastic scattering…

Strongly Correlated Electrons · Physics 2015-06-04 J. Hwang , J. P. F. LeBlanc , J. P. Carbotte

The uniform electron gas is a key model system in the description of matter, including dense plasmas and solid state systems. However, the simultaneous occurence of quantum, correlation, and thermal effects makes the theoretical description…

Plasma Physics · Physics 2017-05-24 Simon Groth , Tobias Dornheim , Michael Bonitz

We consider the high-density-limit correlation energy $\Ec$ in $D \ge 2$ dimensions for the $^1S$ ground states of three two-electron systems: helium (in which the electrons move in a Coulombic field), spherium (in which they move on the…

Other Condensed Matter · Physics 2010-02-19 Pierre-François Loos , Peter M. W. Gill

The band gap of alkali halides, alkaline-earth oxides, Al2O3 and SiO2 crystals has been calculated using the Perturbed-Ion model supplemented with some assumptions for the treatment of excited states. The gap is calculated in several ways:…

Materials Science · Physics 2007-05-23 A. Aguado , A. Ayuela , J. M. Lopez , J. A. Alonso. J. F. Rivas-Silva , M. Berrondo

It is shown that the equation of motion of the one-particle Green function of an interacting many-electron system is governed by a multiplicative time-dependent exchange-correlation potential, which is the Coulomb potential of a…

Strongly Correlated Electrons · Physics 2022-02-16 Ferdi Aryasetiawan

The Coulomb deexcitation of $(\pi p)$ atom in collisions with the hydrogen atom has been studied in the fully quantum mechanical close-coupling approach for the first time. The total Coulomb deexcitation cross-sections of $nl\to n'l'$…

Nuclear Theory · Physics 2009-02-05 V. N. Pomerantsev , V. P. Popov

By allowing interactions between electrons, a new Harper's equation is derived to examine the effects of electron correlations on the Hofstadter energy spectra. It is shown that the structure of the Hofstadter butterfly ofr the system of…

Condensed Matter · Physics 2009-10-30 Hyeonjin Doh , Seung-Pyo Hong , Sung-Ho Suck Salk

The coherent radiation of the electron beam with account of particle position correlations because of strong Coulomb interaction is considered. For the first time it is shown that the coherency of the radiation of the bunch with account of…

Accelerator Physics · Physics 2007-05-23 R. V. Tumanian , L. A. Gevorgian

We employ correlation-consistent effective core potentials (ccECPs) to perform exact or nearly exact correlation and total energy calculations for the fifth-row elements (Rb-Xe). Total energies are calculated using various correlated…

Materials Science · Physics 2025-12-22 Aqsa Shaikh , Omar Madany , Benjamin Kincaid , Lubos Mitas

We find statistically significant correlations in the cosmological matter power spectrum over the full range of observable scales. While the correlations between individual modes are weak, the band-averaged power spectrum shows strong…

Astrophysics · Physics 2009-10-31 A. Meiksin , Martin White

Early-time electron-positron correlation in vacuum pair-production in an external field is investigated. The entangled electron and positron wave functions are obtained analytically in the configuration and momentum spaces. It is shown…

Quantum Physics · Physics 2015-06-17 Suo Tang , Bai-Song Xie , Hong-Yu Wang , Jie Liu , Li-Bin Fu , M. Y. Yu

We develop an interpolating self-energy approach to the correlated Kondo-lattice model. The correlation of the band electrons is taken into account by a Hubbard interaction. The method is based on a self-energy ansatz, the structure of…

Strongly Correlated Electrons · Physics 2009-11-07 W. Nolting , G. G. Reddy , A. Ramakanth , D. Meyer , J. Kienert

The ground-state energy and the density correlation function of the electron liquid in a thin one-dimensional wire are computed. The calculation is based on an approximate mapping of the problem with a realistic Coulomb interaction law onto…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

We propose a new method for calculating total energies of systems of interacting electrons, which requires little more computational resources than standard density-functional theories. The total energy is calculated within the framework of…

Condensed Matter · Physics 2009-10-31 Paula Sanchez-Friera , R. W. Godby