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We consider the response of a dynamical system driven by external adiabatic fluctuations. Based on the `adiabatic following approximation' we have made a systematic separation of time-scales to carry out an expansion in $\alpha |\mu|^{-1}$,…

Statistical Mechanics · Physics 2009-10-31 S. K. Banik , J. R. Chaudhuri , D. S. Ray

We propose a method to compute free-energy differences from nonadiabatic alchemical transformations using flow-based generative models. The method, nonadiabatic force matching, hinges on estimating the dissipation along an alchemical…

Chemical Physics · Physics 2025-11-21 Jorge L. Rosa-Raíces , David T. Limmer

The action of the long-range residual force on the expectation value of observables in the nuclear ground states is evaluated by finding optimal values for the coefficients of the canonical transformation which connects the phonon vacuum…

Nuclear Theory · Physics 2015-06-12 S. Mishev

We present the method of the self-consistent calculation of thermodynamical and correlation functions. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

Statistical Mechanics · Physics 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

In the spirit of recently developed LDA+U and LDA+DMFT methods we implement a combination of density functional theory in its local density approximation (LDA) with a $k$- and $\omega -$dependent self-energy found from diagrammatic…

Strongly Correlated Electrons · Physics 2018-04-17 Sergey Y. Savrasov , Giacomo Resta , Xiangang Wan

We calculate the steady-state and first-order time varying atom-field correlation functions in the weak-excitation limit of absorptive optical bistability from a linearized theory of quantum fluctuations. We formulate a Fokker-Planck…

Quantum Physics · Physics 2020-11-24 Th. K. Mavrogordatos

A stochastic approach to time-dependent density functional theory (TDDFT) is developed for computing the absorption cross section and the random phase approximation (RPA) correlation energy. The core idea of the approach involves…

Chemical Physics · Physics 2016-11-04 Yi Gao , Daniel Neuhauser , Roi Baer , Eran Rabani

The electronic energy-loss straggling of protons and antiprotons moving at arbitrary nonrelativistic velocities in a homogeneous electron gas are evaluated within a quadratic response theory and the random-phase approximation (RPA). These…

Materials Science · Physics 2009-10-31 Neng-ping Wang , J. M. Pitarke

In local effective potential theories of electronic structure, the electron correlations due to the Pauli exclusion principle, Coulomb repulsion, and correlation-kinetic effects, are all incorporated in the local electron-interaction…

Materials Science · Physics 2007-05-23 Zhixin Qian , Viraht Sahni

The partition function by means of the static path approximation (SPA) plus the random-phase approximation (RPA) treatment can be written as a contour integral form without solving the RPA equations for a separable interaction. This method…

Nuclear Theory · Physics 2009-11-11 K. Kaneko , M. Hasegawa

A first principles density functional based linear response theory (the so called Density Functional Perturbation theory \cite{dfpt}) has been combined separately with two recently developed formalism for a systematic study of the lattice…

Materials Science · Physics 2013-12-25 Aftab Alam , Subhradip Ghosh , Abhijit Mookerjee

The independent atom ansatz of density functional theory yields an accurate analytical expression for dynamic correlation energy in the H$_{2}$ molecule: $E_{c} = 0.5(1 - \sqrt{2})(ab|ba)$ for the atom-additive self-consistent density $\rho…

Chemical Physics · Physics 2024-05-28 Alanna 'Lanie' Leung , Alexander V. Mironenko

The harmonic approximation of ionic fluctuations and the linear coupling between phonons and electrons provide the standard framework to compute, from first principles, the contribution of nuclear dynamics and its interaction with electrons…

Materials Science · Physics 2026-03-04 Raffaello Bianco , Ion Errea

Correlation functions measured as a function of $\Delta \eta, \Delta \phi$ have emerged as a powerful tool to study the dynamics of particle production in nuclear collisions at high energy. They are however subject, like any other…

Nuclear Experiment · Physics 2014-02-26 Shantam Ravan , Prabhat Pujahari , Sidharth Prasad , Claude A. Pruneau

We extend the static theory of disorder-induced exponential decay of the averaged Green function of a quantum charged particle in a classical one-component plasma to the dynamic regime by incorporating the temporal evolution of the ionic…

Statistical Mechanics · Physics 2026-05-19 Yury A. Budkov

Interpolating the exchange-correlation energy along the density-fixed adiabatic connection of density functional theory is a promising way to build approximations that are not biased towards the weakly correlated regime. These…

Strongly Correlated Electrons · Physics 2020-12-10 Derk P. Kooi , Paola Gori-Giorgi

With the aim of constructing an electronic structure approach that systematically goes beyond the GW and random phase approximation (RPA) we introduce a vertex correction based on the exact-exchange (EXX) potential of time-dependent density…

Materials Science · Physics 2018-07-16 Maria Hellgren , Nicola Colonna , Stefano de Gironcoli

Antiferromagnetic or charge density wave fluctuations couple with light through the recently discovered {\pi}-ton contribution to the optical conductivity, and quite generically constitute the dominant vertex corrections in low-dimensional…

Strongly Correlated Electrons · Physics 2021-09-29 Paul Worm , Clemens Watzenböck , Matthias Pickem , Anna Kauch , Karsten Held

Approximate exchange-correlation functionals built by modeling in a non-linear way the adiabatic connection (AC) integrand of density functional theory have many attractive features, being virtually parameters-free and satisfying different…

Chemical Physics · Physics 2018-05-25 S. Vuckovic , P. Gori-Giorgi , F. Della Sala , E. Fabiano

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
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