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Itinerant fermions on dilute frustrated Ising lattices

Author

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  • Jean-Yves Fortin

    (Université de Lorraine)

  • Pierrick Lample

    (Université de Lorraine)

Abstract

We consider itinerant spinless fermions as moving defects in a dilute two-dimensional frustrated Ising system where they occupy site vacancies. Fermions interact via local spin fluctuations, and we analyze coupled self-consistent mean-field equations of the Green functions after expressing the spin and fermion operators in terms of Grassmann variables. The specific heat and effective mass are analyzed with the solutions satisfying the symmetry imposed by the coupling layout. At low temperature, we find that these solutions induce stripes along the lines of couplings with the same sign, and that a low fermion density yields a small effective mass. Graphic abstract

Suggested Citation

  • Jean-Yves Fortin & Pierrick Lample, 2021. "Itinerant fermions on dilute frustrated Ising lattices," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(10), pages 1-13, October.
    • Handle: RePEc:spr:eurphb:v:94:y:2021:i:10:d:10.1140_epjb_s10051-021-00224-6
    DOI: 10.1140/epjb/s10051-021-00224-6
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    References listed on IDEAS

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    1. P. Monthoux & D. Pines & G. G. Lonzarich, 2007. "Superconductivity without phonons," Nature, Nature, vol. 450(7173), pages 1177-1183, December.
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