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Ground State Properties of the Holstein–Hubbard Model

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Abstract

We study the ground state properties of the Holstein–Hubbard model on some bipartite lattices at half-filling; The ground state is proved to exhibit ferrimagnetism whenever the electron–phonon interaction is not so strong. In addition, the antiferromagnetic long-range order is shown to exist in the ground state. In contrast to this, we prove the absence of the long-range charge order.

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Acknowledgements

I would like to thank the anonymous referee for valuable comments. This work was partially supported by KAKENHI (18K0331508) and KAKENHI (16H03942).

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  1. Department of Mathematics, Hokkaido University, Sapporo, 060-0810, Japan

    Tadahiro Miyao

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  1. Tadahiro Miyao
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Correspondence to Tadahiro Miyao.

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Communicated by Vieri Mastropietro.

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Miyao, T. Ground State Properties of the Holstein–Hubbard Model. Ann. Henri Poincaré 19, 2543–2555 (2018). https://doi.org/10.1007/s00023-018-0690-6

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  • DOI: https://doi.org/10.1007/s00023-018-0690-6

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