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The time-dependent density functional theory (TDDFT) provides a unified description of the structure and reaction. The linear approximation leads to the random-phase approximation (RPA) which is capable of describing a variety of collective…

Nuclear Theory · Physics 2016-05-09 Kai Wen , Kouhei Washiyama , Ni Fang , Takashi Nakatsukasa

Theoretical studies of photochemical processes require a description of the energy surfaces of excited electronic states, especially near degeneracies, where transitions between states are most likely. Systems relevant to photochemical…

We show that the time-dependent particle density $n(\vec r,t)$ and the current density ${\vec j}(\vec r,t)$ of a many-particle system that evolves under the action of external scalar and vector potentials $V(\vec r,t)$ and $\vec A(\vec…

Strongly Correlated Electrons · Physics 2009-11-10 G. Vignale

The presence of flat bands is a source of localization in lattice systems. While flat bands are often unstable with respect to interactions between the particles, they can persist in certain cases. We consider a diamond ladder with…

Statistical Mechanics · Physics 2023-07-19 Mirko Daumann , Robin Steinigeweg , Thomas Dahm

We present the basic concepts and recent developments in the time-dependent density functional theory (TDDFT) for describing nuclear dynamics at low energy. The symmetry breaking is inherent in nuclear energy density functionals (EDFs),…

Nuclear Theory · Physics 2016-12-21 Takashi Nakatsukasa , Kenichi Matsuyanagi , Masayuki Matsuo , Kazuhiro Yabana

It is shown that, contrary to widely held beliefs, the potentials of spin-density-functional theory (SDFT) are not unique functionals of the spin densities. Explicit examples of distinct sets of potentials with the same ground-state…

Materials Science · Physics 2009-10-31 K. Capelle , G. Vignale

Time-dependent (TD) density functional theory (TDDFT) promises a numerically tractable account of many-body electron dynamics provided good simple approximations are developed for the exchange-correlation (XC) potential functional (XCPF).…

Other Condensed Matter · Physics 2008-08-29 Roi Baer

Ensemble density functional theory (EDFT) is a promising alternative to time-dependent density functional theory for computing electronic excitation energies. Using coordinate scaling, we prove several fundamental exact conditions in EDFT…

Strongly Correlated Electrons · Physics 2023-07-04 Thais R. Scott , John Kozlowski , Steven Crisostomo , Aurora Pribram-Jones , Kieron Burke

The adiabatic approximation in time-dependent density functional theory (TDDFT) is known to give an incorrect pole structure in the quadratic response function, leading to unphysical divergences in excited state-to-state transition…

Chemical Physics · Physics 2023-05-01 Davood Dar , Saswata Roy , Neepa T. Maitra

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

Statistical Mechanics · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Superadiabatic dynamical density functional theory (superadiabatic-DDFT), a first-principles approach based on the inhomogeneous two-body correlation functions, is employed to investigate the response of interacting Brownian particles to…

Soft Condensed Matter · Physics 2023-06-23 S. M. Tschopp , H. D. Vuijk , J. M. Brader

Real-time time-dependent density functional theory (RT-TDDFT) can in principle access the whole absorption spectrum of a many-electron system exposed to a narrow pulse. However, this requires an accurate and efficient propagator for the…

Chemical Physics · Physics 2024-06-19 Linfeng Ye , Hao Wang , Yong Zhang , Wenjian Liu

The theoretical understanding of plasmon behavior is crucial for an accurate interpretation of inelastic scattering diagnostics in many experiments. We highlight the utility of linear-response time-dependent density functional theory…

Materials Science · Physics 2021-03-17 Kushal Ramakrishna , Attila Cangi , Tobias Dornheim , Andrew Baczewski , Jan Vorberger

We consider a system of particles interacting via a purely repulsive, soft-core potential recently introduced to model effective pair interactions between dendrimers, which is expected to lead to the formation of crystals with multiple…

Soft Condensed Matter · Physics 2015-05-11 Davide Pini

In electronic many-particle systems, the mapping between densities and spin magnetizations, {n(r), m(r)}, and potentials and magnetic fields, {v(r), B(r)}, is known to be nonunique, which has fundamental and practical implications for…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. A. Ullrich

Linear-response time-dependent (TD) density-functional theory (DFT) has been implemented in the pseudopotential wavelet-based electronic structure program BigDFT and results are compared against those obtained with the all-electron…

We develop a new density functional theory (DFT) and formalism for correlated electron systems by taking as reference an interacting electron system that has a ground state wavefunction which obeys exactly the Gutzwiller approximation for…

Superconductivity · Physics 2009-11-13 K. M. Ho , J. Schmalian , C. Z. Wang

In a recent letter [Europhys. Lett. 95, 13001 (2011)] the question of whether the density of a time-dependent quantum system determines its external potential was reformulated as a fixed point problem. This idea was used to generalize the…

Quantum Physics · Physics 2013-08-05 M. Ruggenthaler , K. J. H Giesbertz , M. Penz , R. van Leeuwen

When running time-dependent density functional theory (TDDFT) calculations for real-time simulations of non-equilibrium dynamics, the user has a choice of initial Kohn-Sham state, and typically a Slater determinant is used. We explore the…

Chemical Physics · Physics 2016-08-24 Johanna I. Fuks , Soeren E. B. Nielsen , Michael Ruggenthaler , Neepa T. Maitra

Density functional theory together with the Kohn-Sham scheme represent an efficient framework to recover the ground state density and energy of a many-body quantum system from an auxiliary ``non-interacting'' system (one-body with a local…

Quantum Physics · Physics 2021-05-18 Jérémie Messud