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We calculate analytically the effective mass and the quasiparticle renormalization factor in an electron liquid with long-range Coulomb interactions between electrons in two and three dimensions in the leading order density expansion. We…

Strongly Correlated Electrons · Physics 2009-11-10 Victor Galitski , S. Das Sarma

The efficiency of the variational perturbation theory [Phys. Rev. C {\bf 62}, 045503 (2000)] formulated recently for many-particle systems is examined by calculating the ground state correlation energy of the 3D electron gas with the…

Strongly Correlated Electrons · Physics 2009-11-07 Sang Koo You , Noboru Fukushima

The effects of electron-electron interactions on the bulk tunneling density of states (TDOS) are studied near the integer quantum Hall transitions (IQHT). Taking into account the dynamical screening of the interactions in the critical…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Ziqiang Wang , Shanhui Xiong

The self-screening error in electronic structure theory is the part of the self-interaction error that would remain within the $GW$ approximation if the exact dynamically screened Coulomb interaction, $W$, were used, causing each electron…

Materials Science · Physics 2021-01-15 Jack Wetherell , Matthew Hodgson , Rex Godby

The unique property of Coulomb interaction in strict one-dimensional (1D) system is revealed that the Coulomb repulsion energy of paired electrons is divergent. As consequences, electrons in 1D system can not doubly occupy the same spatial…

Strongly Correlated Electrons · Physics 2011-08-23 Yongxi Zhou

We present a microscopic theory for the Raman response of a clean multiband superconductor accounting for the effects of vertex corrections and long-range Coulomb interaction. The measured Raman intensity, $R(\Omega)$, is proportional to…

Superconductivity · Physics 2017-07-12 Saurabh Maiti , Andrey Chubukov , P. J. Hirschfeld

We study the emergence of superconductivity in rhombohedral trilayer graphene due purely to the long-range Coulomb repulsion. This repulsive-interaction-driven phase in rhombohedral trilayer graphene is significantly different from those…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Tommaso Cea , Pierre A. Pantaleón , Vo Tien Phong , Francisco Guinea

Problems of self-interaction arise in both classical and quantum field theories. To understand how such problems are to be addressed in a quantum theory of the Dirac and electromagnetic fields (quantum electrodynamics), we can start by…

Quantum Physics · Physics 2024-07-01 Charles T. Sebens

The condensation energy of the homogeneous electron gas is calculated within the density functional theory for superconductors. Purely electronic considerations include the exchange energy exactly and the correlation energy on a level of…

Superconductivity · Physics 2013-04-02 M. Wierzbowska , J. W. Krogh

We study the effects of long-range Coulomb interaction (LRCI) on the quantum transport in FQH edges with $\nu=1/(2k+1)$. We consider two models, i.e., the quasi-particle tunneling (QPT) model and the electron tunneling (ET) model at the…

Condensed Matter · Physics 2009-10-30 Ken-ichiro Imura , Naoto Nagaosa

Similar to other electron correlation methods, many-body perturbation theory methods based on Green functions, such as the so-called $GW$ approximation, suffer from the usual slow convergence of energetic properties with respect to the size…

The ab initio calculations suggest that the superconducting state in CaH6 under the pressure at 150 GPa has the highest critical temperature among the examined hydrogen-rich compounds. For this reason, the relevant thermodynamic parameters…

Superconductivity · Physics 2013-09-17 R. Szczesniak , A. P. Durajski

We study thermoelectric effects in Coulomb-coupled quantum-dot (CCQD) systems beyond lowest-order tunneling processes and the often applied wide-band approximation. To this end, we present a master-equation (ME) approach based on a…

Mesoscale and Nanoscale Physics · Physics 2017-09-13 Nicklas Walldorf , Antti-Pekka Jauho , Kristen Kaasbjerg

The pressure and internal energy of an ultracold plasma in a state of quasi-equilibrium are evaluated using classical molecular dynamics simulations. Coulomb collapse is avoided by modeling electron-ion interactions using an attractive…

Plasma Physics · Physics 2017-04-26 Sanat Kumar Tiwari , Nathaniel R. Shaffer , Scott D. Baalrud

We demonstrate that forward electron-electron scattering due to Coulomb interation in a two-dimensional ballistic electron gas leads to the (T\ln {T})^{-1} temperature dependence of the thermal conductivity, which is logarithmically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. O. Lyakhov , E. G. Mishchenko

We test the Coulomb exchange and correlation energy density functionals of electron systems for atomic nuclei in the local density approximation (LDA) and the generalized gradient approximation (GGA). For the exchange Coulomb energies, it…

Nuclear Theory · Physics 2018-04-25 Tomoya Naito , Ryosuke Akashi , Haozhao Liang

I study the effect of Coulomb interaction on superconducting order in a d-wave lattice superconductor at T=0 by considering the superconducting saddle point in the two dimensional t-J-U model with an on-site repulsion U. The theory of low…

Superconductivity · Physics 2016-08-31 Igor F. Herbut

We present two new developments for computing excited state energies within the $GW$ approximation. First, calculations of the Green's function and the screened Coulomb interaction are decomposed into two parts: one is deterministic while…

Computational Physics · Physics 2020-10-28 Mariya Romanova , Vojtěch Vlček

On the basis of the exact relations the general formula for the static dielectric permittivity for Coulomb system is found in the region of small wave vectors. The obtained formula describes the dielectric function of the Coulomb system in…

Statistical Mechanics · Physics 2017-08-02 V. B. Bobrov , S. A. Trigger

We propose an approach for the ab initio calculation of materials with strong electronic correlations which is based on all local (fully irreducible) vertex corrections beyond the bare Coulomb interaction. It includes the so-called GW and…

Strongly Correlated Electrons · Physics 2015-03-19 A. Toschi , G. Rohringer , A. A. Katanin , K. Held