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