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Itinerant fermions on dilute frustrated Ising lattices

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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This method is part of a work in progress.]

Notes

  1. Unpublished results, work to be submitted.

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Acknowledgements

The authors would like to thank Christophe Chatelain for useful discussions.

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Authors and Affiliations

  1. Laboratoire de Physique et Chimie Théoriques, CNRS (UMR 7019), Université de Lorraine, 54000, Nancy, France

    Jean-Yves Fortin & Pierrick Lample

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  1. Jean-Yves Fortin
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  2. Pierrick Lample
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Contributions

JYF contributed to the development, the analytical calculations, and management of the project. PL contributed to the analytical calculations and performed the numerical simulations.

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Correspondence to Jean-Yves Fortin.

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Fortin, JY., Lample, P. Itinerant fermions on dilute frustrated Ising lattices. Eur. Phys. J. B 94, 212 (2021). https://doi.org/10.1140/epjb/s10051-021-00224-6

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  • DOI: https://doi.org/10.1140/epjb/s10051-021-00224-6

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