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We investigate a density-functional theory (DFT) approach for an unpolarized trapped dilute Fermi gas in the unitary limit . A reformulation of the recent work of T. Papenbrock [Phys. Rev. A, {\bf 72}, 041602(R) (2005)] in the language of…

Other Condensed Matter · Physics 2009-11-11 Brandon P. van Zyl , D. A. W. Hutchinson , Melodie Need

We compare the quasiparticle band structure for a model insulator obtained from the fluctuation exchange approximation (FEA) with the eigenvalues of the corresponding density functional theory (DFT) and local density approximation (LDA).…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Hess , J. W. Serene

We use, for the first time, ab initio coupled-cluster theory to compute the spectral function of the uniform electron gas at a Wigner-Seitz radius of $r_\mathrm{s}=4$. The coupled-cluster approximations we employ go significantly beyond the…

Understanding the electrical double layer (EDL), i.e, the distribution of electrolyte at an electrified interface, in concentrated electrolytes is important for various technologies, such as supercapacitors, batteries and electrocatalysis.…

Soft Condensed Matter · Physics 2026-05-01 Zachary A. H. Goodwin

Finding accurate exchange-correlation (XC) functionals remains the defining challenge in density functional theory (DFT). Despite 40 years of active development, the desired chemical accuracy is still elusive with existing functionals. We…

Chemical Physics · Physics 2024-09-11 Bikash Kanungo , Jeffrey Hatch , Paul M. Zimmerman , Vikram Gavini

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in dense plasmas, warm dense matter, laser excited solids and much more. Accurate thermodynamic data for the UEG are an essential ingredient for…

Plasma Physics · Physics 2015-09-30 T. Schoof , S. Groth , J. Vorberger , M. Bonitz

The first detailed comparison between ab initio calculations of finite fermionic superfluid systems, performed recently by Chang and Bertsch [Phys. Rev. A 76, 021603(R), (2007)] and by von Stecher, Greene and Blume [e-print…

Superconductivity · Physics 2009-02-05 Aurel Bulgac

Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta…

Chemical Physics · Physics 2025-08-12 Ethan Pollack , Rohan Maniar , John P. Perdew

A simple exact-exchange density-functional method for a quasi-two-dimensional electron gas with variable density is presented. An analytical expression for the exact-exchange potential with only one occupied subband is provided, without…

Condensed Matter · Physics 2009-11-07 F. A. Reboredo , C. R. Proetto

We study the electronic structure of a spherical jellium in the presence of a central Gaussian impurity. We test how well the resulting inhomogeneity effects beyond spherical jellium are reproduced by several approximations of density…

Materials Science · Physics 2015-05-20 Michal Bajdich , Paul R. C. Kent , Jeongnim Kim , Fernando A. Reboredo

We study the energetic properties of finite but internally homogeneous D-dimensional electron droplets in the strict-correlation limit. The indirect Coulomb interaction is found to increase as a function of the electron number, approaching…

Strongly Correlated Electrons · Physics 2011-05-11 E. Rasanen , M. Seidl , P. Gori-Giorgi

We discuss a $\beta$-dependent family of electronic density scalings of the form $n_\lambda(\R)=\lambda^{3\beta+1}\; n(\lambda^\beta \R)$ in the context of density functional theory. In particular, we consider the following special cases:…

Materials Science · Physics 2013-01-31 Eduardo Fabiano , Lucian A. Constantin

Density functional theory at finite temperatures often relies on the zero-temperature approximation, which uses a ground-state exchange-correlation functional with thermalized densities. This approach, however, neglects the explicit…

Other Condensed Matter · Physics 2026-03-26 Brianna Aguilar-Solis , Brittany P. Harding , Aurora Pribram-Jones

Reduced density-matrix functional theory (RDMFT) has become an appealing alternative to density-functional theory to describe electronic properties of highly-correlated systems. Here we derive exact conditions for the suitability of RDMFT…

Strongly Correlated Electrons · Physics 2012-04-19 A. Putaja , E. Rasanen

The Generalized Slater-Jastrow trial functional is a modification of the Slater-Jastrow functional where, effectively, the argument of the Jastrow factor can be momentum dependent. The associated Euler equations, which provide an…

Strongly Correlated Electrons · Physics 2021-09-06 James C Porter

A simple and completely general representation of the exact exchange-correlation functional of density-functional theory is derived from the universal Lieb-Oxford bound, which holds for any Coulomb-interacting system. This representation…

Materials Science · Physics 2015-05-13 Mariana M. Odashima , K. Capelle

We use density-matrix renormalization group, applied to a one-dimensional model of continuum Hamiltonians, to accurately solve chains of hydrogen atoms of various separations and numbers of atoms. We train and test a machine-learned…

Strongly Correlated Electrons · Physics 2016-12-28 Li Li , Thomas E. Baker , Steven R. White , Kieron Burke

In electronic structure calculations, the correlation energy is defined as the difference between the mean field and the exact solution of the non relativistic Schr\"odinger equation. Such an error in the different calculations is not…

Quantum Physics · Physics 2022-04-04 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

Density functional theory (DFT) and thermal DFT (thDFT) calculations were used to evaluate the energy band structure, bandgap, and the total energy of various graphene quantum dots (GQDs). The DFT calculations were performed using local…

Materials Science · Physics 2021-12-20 Majid Ghandchi , Ghafar Darvish , Mohammad Kazem Moravvej-Farshi

Using a novel self-consistent implementation of Hedin's GW perturbation theory we calculate space and energy dependent self-energy for a number of materials. We find it to be local in real space and rapidly convergent on second-- to third--…

Strongly Correlated Electrons · Physics 2012-04-11 N. E. Zein , S. Y. Savrasov , G. Kotliar