https://doi.org/10.1140/epjb/s10051-021-00224-6
Regular Article - Solid State and Materials
Itinerant fermions on dilute frustrated Ising lattices
Laboratoire de Physique et Chimie Théoriques, CNRS (UMR 7019), Université de Lorraine, 54000, Nancy, France
a
jean-yves.fortin@univ-lorraine.fr
Received:
30
July
2021
Accepted:
7
October
2021
Published online:
21
October
2021
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021