Electronic correlation in the quasi-two-dimensional electride Y$_2$C
M. Hiraishi (1), K. M. Kojima (1, 2), I. Yamauchi (1), H. Okabe (1, and 2), S. Takeshita (1), A. Koda (1, 2), R. Kadono (1, 2), X. Zhang, (3), S. Matsuishi (4), H. Hosono (3, 4), K. Hirata (5), S. Otani (5) and, N. Ohashi (5) ((1) Muon Science Laboratory

TL;DR
This study investigates the magnetic properties of Y$_2$C, an electride, using muon spin rotation and susceptibility measurements, revealing no static magnetic order and indicating a ground state near the boundary of weak and strong electronic correlations.
Contribution
It provides experimental insights into the magnetic behavior of Y$_2$C, challenging the predicted ferromagnetism and highlighting the role of electronic correlations and defects.
Findings
No static magnetic order observed down to 0.024 K
Presence of paramagnetic moments in poly-crystalline sample
Electronic ground state near the boundary of weak and strong correlations
Abstract
Magnetic properties of the electride compound YC were investigated by muon spin rotation and magnetic susceptibility on two samples with different form (poly- and single-crystalline), to examine the theoretically-predicted Stoner ferromagnetism for the electride bands. There was no evidence of static magnetic order in both samples even at temperatures down to 0.024 K. For the poly-crystalline sample, the presence of a paramagnetic moment at Y sites was inferred from the Curie-Weiss behavior of the muon Knight shift and susceptibility, whereas no such tendency was observed in the single-crystalline sample. These observations suggest that the electronic ground state of YC is at the limit between weak-to-strong electronic correlation, where onsite Coulomb repulsion is sensitive to a local modulation of the electronic state or a shift in the Fermi level due to the presence of…
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