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We show that an asymmetric two-fermion two-site Hubbard model illustrates the essential features of long-range charge-transfer dynamics in a real-space molecule. We apply a resonant field that transfers one fermion from one site to the…

Chemical Physics · Physics 2015-06-18 J. I. Fuks , N. T. Maitra

We address and quantify the role of non-adiabaticity ("memory effects") in the exchange-correlation (xc) functional of time-dependent density functional theory (TDDFT) for describing non-linear dynamics of many-body systems. Time-dependent…

Other Condensed Matter · Physics 2015-06-18 Johanna I. Fuks , Mehdi Farzanehpour , Ilya V. Tokatly , Heiko Appel , Stefan Kurth , Angel Rubio

The asymmetric Hubbard dimer is used to study the density-dependence of the exact frequency-dependent kernel of linear-response time-dependent density functional theory. The exact form of the kernel is given, and the limitations of the…

Strongly Correlated Electrons · Physics 2018-07-17 D. J. Carrascal , J. Ferrer , N. Maitra , K. Burke

Adiabatic approximations in time-dependent density functional theory (TDDFT) will in general yield unphysical time-dependent shifts in the resonance positions of a system driven far from its ground-state. This spurious time-dependence is…

Chemical Physics · Physics 2016-08-24 Kai Luo , Johanna I. Fuks , Neepa T. Maitra

Time-dependent density functional theory continues to draw a large number of users in a wide range of fields exploring myriad applications involving electronic spectra and dynamics. Although in principle exact, the predictivity of the…

Chemical Physics · Physics 2023-08-14 Lionel Lacombe , Neepa T. Maitra

We perform model calculations for a stretched LiF molecule, demonstrating that nonadiabatic charge transfer effects can be accurately and seamlessly described within a density functional framework. In alkali halides like LiF, there is an…

Chemical Physics · Physics 2018-03-01 Chen Li , Ryan Requist , E. K. U. Gross

We consider the electrons of a molecule in the adiabatic time-dependent density functional theory approximation. We establish the well-posedness of the time evolution and its linear response close to a non-degenerate ground state, and prove…

Analysis of PDEs · Mathematics 2024-09-19 Mi-Song Dupuy , Eloïse Letournel , Antoine Levitt

We investigate the adiabatic approximation to the exact-exchange kernel for calculating correlation energies within the adiabatic-connection fluctuation-dissipation framework of time-dependent density functional theory. A numerical study is…

Chemical Physics · Physics 2023-05-12 Maria Hellgren , Lucas Baguet

Warm dense matter is a highly energetic phase characterized by strong correlations, thermal effects, and quantum effects of electrons. Thermal density functional theory is commonly used in simulations of this challenging phase, driving the…

Strongly Correlated Electrons · Physics 2025-09-10 Brittany P. Harding , Francisca Sagredo , Vincent Martinetto , Aurora Pribram-Jones

We show that as an electron transfers between closed-shell molecular fragments at large separation, the exact correlation potential of time-dependent density functional theory gradually develops a step and peak structure in the bonding…

Chemical Physics · Physics 2014-02-11 Johanna I. Fuks , Peter Elliott , Angel Rubio , Neepa T. Maitra

We propose a nonadiabatic time-dependent spin-density functional theory (TDSDFT) approach for studying the single-electron excited states and the ultrafast response of systems with strong electron correlations. The correlations are…

Strongly Correlated Electrons · Physics 2013-11-27 Volodymyr Turkowski , Talat S. Rahman

We introduce a new class of exchange-correlation potentials for a static and time-dependent Density Functional Theory of strongly correlated systems in 3D. The potentials are obtained via Dynamical Mean Field Theory and, for strong enough…

Strongly Correlated Electrons · Physics 2015-05-18 Daniel Karlsson , Antonio Privitera , Claudio Verdozzi

Charge transfer plays a crucial role in many processes of interest in physics, chemistry, and bio-chemistry. In many applications the size of the systems involved calls for time-dependent density functional theory (TDDFT) to be used in…

Chemical Physics · Physics 2017-10-11 Neepa T. Maitra

An approximate method based on adiabatic time dependent density functional theory (TDDFT) is presented, that allows for the description of the electron dynamics in nanoscale junctions under arbitrary time dependent external potentials. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Y. Wang , C. -Y. Yam , G. H. Chen , Th. Frauenheim , T. A. Niehaus

With the aim of describing real-time electron dynamics, we introduce an adiabatic approximation for the equation of motion of the one-body reduced-density matrix (one-matrix). The eigenvalues of the one-matrix, which represent the…

Strongly Correlated Electrons · Physics 2012-09-18 Ryan Requist , Oleg Pankratov

We formulate a rigorous method for calculating a nonadiabatic (frequency-dependent) exchange-correlation (XC) kernel required for correct description of both equilibrium and nonequilibrium properties of strongly correlated systems within…

Strongly Correlated Electrons · Physics 2014-10-13 Volodymyr Turkowski , Talat S. Rahman

Most applications of time-dependent density-functional theory (TDDFT) use the adiabatic local-density approximation (ALDA) for the dynamical exchange-correlation potential Vxc(r,t). An exact (i.e., nonadiabatic) extension of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 C. A. Ullrich

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

Based on our earlier works [Phys. Rev. B 75, 195127 (2007) & J. Chem. Phys. 128, 234703 (2008)], we propose a formally exact and numerically convenient approach to simulate time-dependent quantum transport from first-principles. The…

Chemical Physics · Physics 2015-05-18 Xiao Zheng , GuanHua Chen , Yan Mo , SiuKong Koo , Heng Tian , ChiYung Yam , YiJing Yan

We obtain the exact Kohn-Sham potentials $V_{\mathrm{KS}}$ of time-dependent density-functional theory for 1D Hubbard chains, driven by a d.c.\ external field, using the time-dependent electron density and current density obtained from…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 L. Mancini , J. D. Ramsden , M. J. P. Hodgson , R. W. Godby
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