0000000000451907

AUTHOR

Giovanna Lani

showing 2 related works from this author

The adiabatic strictly-correlated-electrons functional : kernel and exact properties

2016

We investigate a number of formal properties of the adiabatic strictly-correlated electrons (SCE) functional, relevant for time-dependent potentials and for kernels in linear response time-dependent density functional theory. Among the former, we focus on the compliance to constraints of exact many-body theories, such as the generalised translational invariance and the zero-force theorem. Within the latter, we derive an analytical expression for the adiabatic SCE Hartree exchange-correlation kernel in one dimensional systems, and we compute it numerically for a variety of model densities. We analyse the non-local features of this kernel, particularly the ones that are relevant in tackling p…

Chemical Physics (physics.chem-ph)PhysicsStrongly Correlated Electrons (cond-mat.str-el)010304 chemical physicsta114FOS: Physical sciencesGeneral Physics and Astronomyformal probertiesElectronHartreeExpression (computer science)01 natural sciencesadiabatic strictly-correlated electronsCondensed Matter - Strongly Correlated ElectronskernelKernel (statistics)Physics - Chemical Physics0103 physical sciencesDensity functional theoryStatistical physicsPhysical and Theoretical ChemistryVariety (universal algebra)010306 general physicsAdiabatic processFocus (optics)
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Time-dependent density-functional theory for strongly interacting electrons

2017

We consider an analytically solvable model of two interacting electrons that allows for the calculation of the exact exchange-correlation kernel of time-dependent density functional theory. This kernel, as well as the corresponding density response function, is studied in the limit of large repulsive interactions between the electrons and we give analytical results for these quantities as an asymptotic expansion in powers of the square root of the interaction strength. We find that in the strong interaction limit the three leading terms in the expansion of the kernel act instantaneously while memory terms only appear in the next orders. We further derive an alternative expansion for the ker…

Physicsta114Strongly Correlated Electrons (cond-mat.str-el)010304 chemical physicsStrong interactionelectronsFOS: Physical sciencesElectronTime-dependent density functional theoryelektronit01 natural sciencesAdiabatic theoremCondensed Matter - Strongly Correlated Electronstime-dependent density functional theoryQuantum nonlocalityQuantum mechanics0103 physical sciencesDensity functional theory010306 general physicsAsymptotic expansionAdiabatic processPhysical Review A
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