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Exact ground states of the extended Hubbard model on the Kagomé lattice

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  • Masaaki Nakamura

    (Ehime University)

  • Satoshi Nishimoto

    (Technical University Dresden
    Institute for Theoretical Solid State Physics, IFW Dresden)

Abstract

We discuss the exact plaquette-ordered ground states of the generalized Hubbard model on the Kagomé lattice for several fillings, by constructing the Hamiltonian as a sum of products of projection operators for up and down spin sectors. The obtained exact ground states are interpreted as Néel ordered states on the bond-located electrons. We determine several parameter regions of the exact ground states, and calculate the entanglement entropy. We examine the above results by numerical calculations based on exact diagonalization and density-matrix renormalization group methods.

Suggested Citation

  • Masaaki Nakamura & Satoshi Nishimoto, 2018. "Exact ground states of the extended Hubbard model on the Kagomé lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(9), pages 1-11, September.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:9:d:10.1140_epjb_e2018-90352-9
    DOI: 10.1140/epjb/e2018-90352-9
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