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Density functional theory and applications to solids and cold atoms systems


We propose the construction, comparison and application of density functionals for DFT calculations, within both local and non-local approximations, in order to investigate entanglement and exotic superfluidity in solids and cold atoms systems. A quantitative description of the mapping between wave function and density, predicted by the Hohenberg-Kohn theorem, will be provided and used for testing the efficiency of density functionals. A comparative study among several existing entanglement measures will be performed, as well as new density functionals for non-local approximations will be constructed. These results will be then applied to the investigation of entanglement and inhomogeneous superfluidity in nanostructures, disordered and cold atoms systems. (AU)

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Scientific publications (6)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CANELLA, G. A.; FRANCA, V. V.. Entanglement in disordered superfluids: The impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 545, . (13/15982-3)
FRANCA, VIVIAN V.; COE, JEREMY P.; D'AMICO, IRENE. Testing density-functional approximations on a lattice and the applicability of the related Hohenberg-Kohn-like theorem. SCIENTIFIC REPORTS, v. 8, . (13/15982-3)
CUSTODIO, CAIO A.; FILLETTI, ERICA R.; FRANCA, VIVIAN V.. Artificial neural networks for density-functional optimizations in fermionic systems. SCIENTIFIC REPORTS, v. 9, . (13/15982-3)
DE PICOLI, T.; D'AMICO, I.; FRANCA, V. V.. Metric-Space Approach for Distinguishing Quantum Phase Transitions in Spin-Imbalanced Systems. Brazilian Journal of Physics, v. 48, n. 5, p. 472-476, . (13/15982-3)
FRANCA, V. V.. Entanglement and exotic superfluidity in spin-imbalanced lattices. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 475, p. 82-87, . (13/15982-3)

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