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Excitonic effects due to the correlation of electrons and holes in excited states of matter dominate the optical spectra of many interesting materials. They are usually studied in the long-wavelength limit. Here we investigate excitons at…

Materials Science · Physics 2023-04-18 Vitaly Gorelov , Lucia Reining , Matteo Gatti

The derivative discontinuity of the exchange-correlation (xc) energy at integer particle number is a property of the exact, unknown xc functional of density functional theory (DFT) which is absent in many popular local and semilocal…

Strongly Correlated Electrons · Physics 2015-06-11 Gao Xianlong , A-Hai Chen , I. V. Tokatly , S. Kurth

Experiments determining the lifetime of excited electrons in crystalline copper reveal states which cannot be interpreted as Bloch states [S. Ogawa {\it et al.}, Phys. Rev. B {\bf 55}, 10869 (1997)]. In this article we propose a model which…

Materials Science · Physics 2016-08-24 Wolf-Dieter Schöne , Walter Ekardt

We explore the spontaneous formation of an excitonic insulator state at the semimetal-semiconductor transition of mixed-valence materials in the framework of the spinless Falicov-Kimball model with direct $f$-$f$ electron hopping. Adapting…

Strongly Correlated Electrons · Physics 2015-05-18 Nham Van Phan , Klaus W. Becker , Holger Fehske

This is the second and the final part of the review on density functional theory (DFT), referred to as DFT-II. In the first review, DFT-I, we have discussed wavefunction-based methods, their complexity, and the basic of density functional…

Materials Science · Physics 2023-05-25 Ashish Kumar , Prashant Singh , Manoj K. Harbola

We review the effects of Coulomb correlation on the linear and non-linear optical properties of semiconductor quantum wires, with emphasis on recent results for the bound excitonic states. Our theoretical approach is based on generalized…

Materials Science · Physics 2009-10-30 G. Goldoni , F. Rossi , E. Molinari

We study the linear optical absorption of bulk semiconductors in the presence of a homogeneous constant (dc) electric field with an approach suitable for including excitonic effects while working with many-band models. The absorption…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Federico Duque-Gomez , J. E. Sipe

We re-examine the three-dimensional spinless Falicov-Kimball model with dispersive $f$ electrons at half-filling, addressing the dispute about the formation of an excitonic condensate, which is closely related to the problem of electronic…

Strongly Correlated Electrons · Physics 2015-05-14 B. Zenker , D. Ihle , F. X. Bronold , H. Fehske

We put forward new approach for the development of a non-local density functional by a direct modeling of the shape of exchange-correlation (xc) hole in inhomogeneous systems. The functional is aimed at giving an accurate xc-energy and an…

Other Condensed Matter · Physics 2013-08-05 Klaas J. H. Giesbertz , Robert van Leeuwen , Ulf von Barth

We calculate the optical properties of a series of passivated non-stoichiometric CdSe clusters using two first-principles approaches: time-dependent density functional theory within the local density approximation, and by solving the…

Materials Science · Physics 2007-05-23 Marie Lopez del Puerto , Murilo L. Tiago , James R. Chelikowsky

The exchange-correlation (XC) functional in density functional theory is used to approximate multi-electron interactions. A plethora of different functionals is available, but nearly all are based on the hierarchy of inputs commonly…

We study the excitonic phase transition in a system of the conduction band electrons and valence band holes described by the three-dimensional (3D) extended Falicov-Kimball (EFKM) model with the tunable Coulomb interaction $U$ between both…

Strongly Correlated Electrons · Physics 2015-08-04 V. Apinyan , T. K. Kopec

By propagating the many-body Schr\"odinger equation, we determine the exact time-dependent Kohn-Sham potential for a system of strongly correlated electrons which undergo field-induced tunneling. Numerous features are entirely absent from…

Strongly Correlated Electrons · Physics 2021-01-15 Matthew J. P. Hodgson , James D. Ramsden , Jacob B. J. Chapman , Piers Lillystone , Rex W Godby

Silver chloride is a material that has been investigated and used for many decades. Of particular interest are its optical properties, but only few fundamental theoretical studies exist. We present first-principles results for the optical…

Materials Science · Physics 2022-01-05 Arnaud Lorin , Matteo Gatti , Lucia Reining , Francesco Sottile

We formulate a time-dependent density functional theory (TDDFT) in terms of the density matrix to study ultrafast phenomena in semiconductor structures. A system of equations for the density matrix components, which is equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. Turkowski , C. A. Ullrich

Long-range Coulomb forces give rise to correlated insulating states when charge particles populate a moir\'{e} superlattice at certain fractional filling factors. Such behavior is characterized by a broken translation symmetry wherein…

Materials Science · Physics 2025-05-13 Junghwan Kim , Hanan Dery , Dinh Van Tuan

We study the spontaneous symmetry breaking of the excitonic insulator state induced by the Coulomb interaction $U$ in the two-dimensional extended Falicov-Kimball model. Using the variational cluster approximation (VCA) and Hartree-Fock…

Strongly Correlated Electrons · Physics 2016-06-09 K. Seki , R. Eder , Y. Ohta

In twisted bilayer semiconductors with arbitrary twisting angles, a chiral excitonic system can arise from the interlayer electron-hole Coulomb exchange interaction (F\"{o}rster coupling) that hybridizes the anisotropic intralayer excitons…

Mesoscale and Nanoscale Physics · Physics 2024-09-23 Ci Li , Wang Yao

An ab initio approach to the calculation of excitonic effects in the optical absorption spectra of semiconductors and insulators is formulated. It starts from a quasiparticle bandstructure calculation and is based on the relevant…

Condensed Matter · Physics 2016-08-31 Stefan Albrecht , Lucia Reining , Rodolfo Del Sole , Giovanni Onida

In spin-density-functional theory for noncollinear magnetic materials, the Kohn-Sham system features exchange-correlation (xc) scalar potentials and magnetic fields. The significance of the xc magnetic fields is not very well explored; in…

Materials Science · Physics 2019-09-25 Edward A. Pluhar , Carsten A. Ullrich