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We analyze a number of ``nearly exactly'' solvable models of electronic spectrum of two-dimensional systems with well-developed fluctuations of short range order of ``dielectric'' (e.g. antiferromagnetic) or ``superconducting'' type, which…

Superconductivity · Physics 2009-10-31 E. Z. Kuchinskii , M. V. Sadovskii

The specific character of longitudinal collective electromagnetic oscillations in a layered conductor with the quasi-two-dimensional electron energy spectrum has been analyzed.

Strongly Correlated Electrons · Physics 2012-04-27 V. M. Gokhfeld , O. V. Kirichenko , V. G. Peschansky

We present an effective theory describing the low-energy properties of an interacting 2D electron gas at large non-integer filling factors $\nu\gg 1$. Assuming that the interaction is sufficiently weak, $r_s < 1$, we integrate out all the…

Condensed Matter · Physics 2009-10-28 I. L. Aleiner , L. I. Glazman

We consider density functionals for exchange and correlation energies in two-dimensional systems. The functionals are constructed by making use of exact constraints for the angular averages of the corresponding exchange and correlation…

Strongly Correlated Electrons · Physics 2010-02-25 E. Rasanen , S. Pittalis

The ground states of the homogeneous electron gas and the homogeneous electron liquid are cornerstones in quantum physics and chemistry. They are archetypal systems in the regime of slowly varying densities in which the exchange-correlation…

Strongly Correlated Electrons · Physics 2023-08-28 L. V. Duc Pham , Pascal Sattler , Miguel A. L. Marques , Carlos L. Benavides-Riveros

We derive the exact expansion, to $O(r_s)$, of the energy of the high-density spin-polarized two-dimensional uniform electron gas, where $r_s$ is the Seitz radius.

Strongly Correlated Electrons · Physics 2011-06-09 Pierre-François Loos , Peter M. W. Gill

The optical conductivity contains relevant information on the properties of correlated electron systems. In infinite dimensions, where dynamical mean field theory becomes exact, vertex corrections can be neglected and the conductivity…

Strongly Correlated Electrons · Physics 2021-03-17 Olivier Simard , Shintaro Takayoshi , Philipp Werner

We use first principles density functional theory calculations to examine the effect of multiple anions on the Peierls distortion in the rutile oxyfluoride TiOF. By using a structure enumeration approach, we obtain the ground state atomic…

Materials Science · Physics 2024-05-14 Siddhartha S. Nathan , Danilo Puggioni , James M. Rondinelli

Recent claims of an experimental demonstration of spontaneous spin polarisation in dilute electron gases \cite{young99} revived long standing theoretical discussions \cite{ceper99,bloch}. In two dimensions, the stabilisation of a…

Materials Science · Physics 2009-11-11 P. Giudici , A. R. Goñi , P. G. Bolcatto , C. R. Proetto , K. Eberl , M. Hauser , C. Thomsen

We study directed percolation at the upper critical transverse dimension $d=4$, where critical fluctuations induce logarithmic corrections to the leading (mean-field) behavior. Viewing directed percolation as a kinetic process, we address…

Statistical Mechanics · Physics 2009-11-10 Hans-Karl Janssen , Olaf Stenull

The homogeneous electron gas is one of the most studied model systems in condensed matter physics. It is also at the basis of the large majority of approximations to the functionals of density functional theory. As such, its…

Strongly Correlated Electrons · Physics 2020-07-14 Robert Schlesier , Carlos L. Benavides-Riveros , Miguel A. L. Marques

We present high-precision \emph{ab initio} calculations of the four-point vertex function for the three-dimensional uniform electron gas using variational diagrammatic Monte Carlo. From these results, we extract Landau parameters that…

Strongly Correlated Electrons · Physics 2026-04-28 Zhiyi Li , Pengcheng Hou , Bao-Zong Wang , Youjin Deng , Kun Chen

We introduce a generalization (gLDA) of the traditional Local Density Approximation (LDA) within density functional theory. The gLDA uses both the one-electron Seitz radius $\rs$ and a two-electron hole curvature parameter $\eta$ at each…

Chemical Physics · Physics 2015-06-18 Pierre-François Loos , Caleb J. Ball , Peter M. W. Gill

We present a variational Monte Carlo study of a model one dimensional electron gas on the continuum, with long-range interaction (1/r decay). At low density the reduced dimensionality brings about pseudonodes of the many-body wavefunction,…

Strongly Correlated Electrons · Physics 2007-05-23 Michele Casula , Gaetano Senatore

We report conductance measurements of a ballistic one-dimensional (1D) wire defined in the lower two-dimensional electron gas of a GaAs/AlGaAs double quantum well. At low temperatures there is an additional structure at $0.7(2e^2/h)$ in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. J. Thomas , J. T. Nicholls , M. Pepper , W. R. Tribe , M. Y. Simmons , D. A. Ritchie

We derive QED radiators for the universal corrections to polarized electron scattering. To 5th order in the coupling constant the flavor non-singlet and singlet contributions are calculated. We derive the non-singlet and singlet…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Blümlein , H. Kawamura

We present numerically exact solutions to the full-dimensional Schrodinger Equation for the few-electron gas (few-EG) model of electronic structure theory. Our core methodology uses a Sum-of-Products (SOP) representation of singular…

Strongly Correlated Electrons · Physics 2019-11-13 Jonathan Jerke , Eric R Bittner , Bill Poirier

The possibility of charge density oscillations in a {\it finite-thickness} two-dimensional system is investigated for strong magnetic fields and integer filling factors. Using an effective action formalism, it is shown that an {\it…

Condensed Matter · Physics 2007-05-23 S. Sakhi , P. Vasilopoulos

A systematic study of the properties of particle and charge correlation functions in the two-dimensional Coulomb gas confined to a one-dimensional domain is undertaken. Two versions of this system are considered: one in which the positive…

Condensed Matter · Physics 2009-10-28 A. Alastuey , P. J. Forrester

Using classical density functional theory (DFT) in a modified mean-field approximation we investigate the fluid phase behavior of quasi-two dimensional dipolar fluids confined to a plane. The particles carry three-dimensional dipole moments…

Statistical Mechanics · Physics 2013-06-18 R. Geiger , S. H. Klapp