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We propose a new method of calculating electronically excited states that combines a density functional theory (DFT) based ground state calculation with a linear response treatment that employs approximations used in the time-dependent…

Chemical Physics · Physics 2016-05-11 Robert Rüger , Erik van Lenthe , Thomas Heine , Lucas Visscher

The increasing need to simulate the dynamics of photoexcited molecular and nanosystems in the sub-picosecond regime demands new efficient tools able to describe the quantum nature of matter at a low computational cost. By combining the…

Routine investigations of plasmonic phenomena at the quantum level present a formidable computational challenge due to the large system sizes and ultrafast timescales involved. This Feature Article highlights the use of density functional…

Mesoscale and Nanoscale Physics · Physics 2025-06-19 Nikhil S. Chellam , Subhajyoti Chaudhuri , Abhisek Ghosal , Sajal K. Giri , George C. Schatz

We present an implementation of time-dependent density-functional theory (TDDFT) in the linear response formalism enabling the calculation of low energy optical absorption spectra for large molecules and nanostructures. The method avoids…

The time-dependent density functional based tight-binding (TD-DFTB) approach is generalized to account for fractional occupations. In addition, an on-site correction leads to marked qualitative and quantitative improvements over the…

Materials Science · Physics 2013-02-15 A. Domínguez , B. Aradi , T. Frauenheim , V. Lutsker , T. A. Niehaus

Density Functional Tight-Binding (DFTB), an approximative approach derived from Density Functional Theory (DFT), has the potential to pave the way for simulations of large periodic or non-periodic systems. We have specifically tailored DFTB…

We compare the performance of an approach using real frequency dependent polarizability to compute optical absorption spectra to linear-response time-dependent density functional theory (TD-DFT) for small organic dyes, oligomers of…

Materials Science · Physics 2018-05-22 Ang Siong Tuan , Amrita Pal , Sergei Manzhos

This article is a pedagogical introduction to density-functional tight-binding (DFTB) method. We derive it from the density-functional theory, give the details behind the tight-binding formalism, and give practical recipes for…

Materials Science · Physics 2009-11-02 Pekka Koskinen , Ville Mäkinen

Spectral density functions are central to the simulation of complex many body systems. Their determination requires to make approximations not only to the dynamics but also to the underlying electronic structure theory. Here, blending…

Chemical Physics · Physics 2018-05-23 Per-Arno Plötz , Jörg Megow , Thomas Niehaus , Oliver Kühn

A new method for calculating optical absorption spectra within linear-scaling density-functional theory (LS-DFT) is presented, incorporating a scheme for optimizing a set of localized orbitals to accurately represent unoccupied Kohn-Sham…

Materials Science · Physics 2015-05-30 Laura E. Ratcliff , Nicholas D. M. Hine , Peter D. Haynes

Bridging the gap between first principles methods and empirical schemes, the density functional based tight-binding method (DFTB) has become a versatile tool in predictive atomistic simulations over the past years. One of the major…

Materials Science · Physics 2015-04-02 Vitalij Lutsker , Balint Aradi , Thomas A. Niehaus

We report a time-dependent density functional based tight-binding (TD-DFTB) scheme for the calculation of UV/Vis spectra, explicitly taking into account the excitation of nuclear vibrations via the adiabatic Hessian Franck-Condon (AH|FC)…

Chemical Physics · Physics 2016-11-23 Robert Rüger , Thomas Niehaus , Erik van Lenthe , Thomas Heine , Lucas Visscher

We investigate optical absorption spectra obtained through time-dependent density functional theory (TD-DFT) based on nonempirical hybrid functionals that are designed to correctly reproduce the dielectric function. The comparison with…

Materials Science · Physics 2020-08-17 Alexey Tal , Peitao Liu , Georg Kresse , Alfredo Pasquarello

Time-Dependent Density Functional Theory (TDDFT) has been currently established as a computationally cheaper, yet effective, alternative to the Many-Body Perturbation Theory (MBPT) for calculating the optical properties of solids. Within…

Materials Science · Physics 2026-04-13 M. Arruabarrena , A. Leonardo , A. Ayuela

Herein, we present a new method to efficiently calculate electronically excited states in large molecular assemblies, consisting of hundreds of molecules. For this purpose, we combine the long-range corrected tight-binding…

Chemical Physics · Physics 2023-02-08 Richard Einsele , Joscha Hoche , Roland Mitric

We present two improvements to the tight-binding approximation of time-dependent density functional theory (TD-DFTB): Firstly, we add an exact Hartree-Fock exchange term, which is switched on at large distances, to the ground state…

Chemical Physics · Physics 2015-10-28 Alexander Humeniuk , Roland Mitric

Real time, density matrix based, time dependent density functional theory proceeds through the propagation of the density matrix, as opposed to the Kohn-Sham orbitals. It is possible to reduce the computational workload by imposing spatial…

Computational Physics · Physics 2015-05-20 Conn O'Rourke , David R. Bowler

An accurate treatment of electronic spectra in large systems with a technique such as time dependent density functional theory (TDDFT) is computationally challenging. Due to the Nyquist sampling theorem, direct real time simulations must be…

Materials Science · Physics 2024-01-17 Matthias Kick , Ezra Alexander , Anton Beiersdorfer , Troy Van Voorhis

Despite major advances in oncology, many chemotherapeutic agents still cause severe side effects that reduce quality of life, motivating new approaches for early detection and targeted elimination of cancer cells. Luminescent transition…

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
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