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Within the infinite series of ring (or bubble) diagram approximation for the electronic self-energy as appropriate for the long-range Coulomb interaction, we calculate the density-dependent T=0 Fermi liquid quasiparticle effective mass…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Zhang , S. Das Sarma

We present a comprehensive study of the two dimensional one component plasma in the cell model with charged boundaries. Departing from weak couplings through a convenient approximation of the interacting potential we were able to obtain an…

Statistical Mechanics · Physics 2015-10-28 Juan Pablo Mallarino , Gabriel Tellez

We apply the renormalized singles with correlation (RSc) Green's function in the $GW$ approximation to calculate accurate quasiparticle (QP) energies and orbitals. The RSc Green's function includes all orders of singles contributions from…

Chemical Physics · Physics 2022-10-19 Jiachen Li , Weitao Yang

A critical challenge for density functional theory (DFT) in practice is its limited ability to treat static electron correlation, leading to errors in its prediction of charges, multiradicals, and reaction barriers. Recently, we combined…

Chemical Physics · Physics 2024-11-05 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We describe the behavior of the Perdew-Zunger self-interaction-corrected local density approximation (SIC-LDA) functional when implemented in a plane-wave pseudopotential formalism with Wannier functions. Prototypical semiconductors and…

Other Condensed Matter · Physics 2011-03-03 Massimiliano Stengel , Nicola A. Spaldin

Building on the discussion in PRA 93, 042510 (2016), we present a systematic derivation of gradient corrections to the kinetic-energy functional and the one-particle density, in particular for two-dimensional systems. We derive the leading…

Quantum Gases · Physics 2017-09-08 Martin-Isbjörn Trappe , Yink Loong Len , Hui Khoon Ng , Berthold-Georg Englert

According to time-dependent density functional theory, the exact exchange-correlation kernel f$_{xc}$(n, q, $\omega$) determines not only the ground-state energy but also the excited-state energies/lifetimes and time-dependent linear…

Chemical Physics · Physics 2020-07-01 Adrienn Ruzsinszky , Niraj K. Nepal , J. M. Pitarke , John P. Perdew

The analytic properties of the ground state resonance energy E(g) of the cubic potential are investigated as a function of the complex coupling parameter g. We explicitly show that it is possible to analytically continue E(g) by means of a…

Mathematical Physics · Physics 2010-10-12 J. Zinn-Justin , U. D. Jentschura

Improving the accuracy and thus broadening the applicability of electronic density functional theory (DFT) is crucial to many research areas, from material science, to theoretical chemistry, biophysics and biochemistry. In the last three…

Strongly Correlated Electrons · Physics 2019-03-27 Paola Gori-Giorgi , Michael Seidl

The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation…

Soft Condensed Matter · Physics 2022-04-06 Moritz Bültmann , Andreas Härtel

We present the self-consistent implementation of current-dependent (hybrid) meta generalized gradient approximation (mGGA) density functionals using London atomic orbitals. A previously proposed generalized kinetic energy density is…

We present a systematic approach for the semiclassical treatment of many-body dynamics of interacting, open spin systems. Our approach overcomes some of the shortcomings of the recently developed discrete truncated Wigner approximation…

Quantum Physics · Physics 2022-12-01 Christopher D. Mink , David Petrosyan , Michael Fleischhauer

We construct a nonlocal density functional approximation with full exact exchange, while preserving the constraint-satisfaction approach and justified error cancellations of simpler semilocal functionals. This is achieved by interpolating…

Chemical Physics · Physics 2009-11-13 John P. Perdew , Viktor N. Staroverov , Jianmin Tao , Gustavo E. Scuseria

We introduce the EMC algorithm for reconstructing a particle's 3D diffraction intensity from very many photon shot-noise limited 2D measurements, when the particle orientation in each measurement is unknown. The algorithm combines a…

Data Analysis, Statistics and Probability · Physics 2010-03-04 Duane Ne-Te Loh , Veit Elser

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

Materials Science · Physics 2009-02-07 Vinod Krishna

The DCA$^+$ algortihm was recently introduced to extend the dynamic cluster approximation (DCA) with a continuous lattice self-energy in order to achieve better convergence with cluster size. Here we extend the DCA$^+$ algorithm to the…

Strongly Correlated Electrons · Physics 2015-06-18 Peter Staar , Thomas Maier , Thomas Schulthess

We develop a semiclassical density functional theory in the context of quantum dots. Coulomb blockade conductance oscillations have been measured in several experiments using nanostructured quantum dots. The statistical properties of these…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Denis Ullmo , Tatsuro Nagano , Steven Tomsovic , Harold U. Baranger

We calculate the width $2\Delta_{\text{CT}}$ and intensity of the charge-transfer peak (the one lying at the on-site energy $E_d$) in the impurity spectral density of states as a function of $E_d$ in the SU($N$) impurity Anderson model…

Strongly Correlated Electrons · Physics 2018-01-31 J. Fernández , F. Lisandrini , P. Roura-Bas , C. Gazza , A. A. Aligia

The most widely-used density functionals for the exchange-correlation energy are inexact for one-electron systems. Their self-interaction errors can be severe in some applications. The problem is not only to correct the self-interaction…

Chemical Physics · Physics 2009-11-10 Stephan Kümmel , John P. Perdew

Accurate many-body treatments of condensed-phase systems are challenging because correlated solvers such as full configuration interaction (FCI) and the density matrix renormalization group (DMRG) scale exponentially with system size.…