The Hubbard dimer: exact dynamic exchange-correlation kernel, single and double excitations of a strongly correlated problem

ORAL

Abstract

The Hubbard dimer is an exactly solvable model of a strongly correlated problem [1]. We develop here its exact frequency-dependent exchange-correlation kernel. Armed with this, we analyse the behaviour of the single and double excitations of the model as they evolve from the weak correlation regime deep into the strongly-correlated Mott-Hubbard regime. [1] D. J. Carrascal, J. Ferrer, J. C. Smith and K. Burke, The Hubbard dimer: a density functional case study of a many-body problem, Journal of Physics: Condensed Matter 27, 393001 (2015).

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Authors

  • Jaime Ferrer

    • Departamento de Física, Universidad de Oviedo, Spain

  • Diego Carrascal

    • Departamento de Física, Universidad de Oviedo, Spain

  • Neepa Maitra

    • Hunter College of City University of New York
    • Department of Physics, Hunter College, City University of New York, New York, NY 1006, USA

  • Kieron Burke

    • Departments of Physics and of Chemistry, UC Irvine
    • Department of Chemistry and of Physics, University of California, Irvine, CA 92697, USA
    • University of California Irvine
    • University of California, Irvine
    • Department of Chemistry and of Physics, University of California, Irvine