TY - JOUR
T1 - Why rare-earth ferromagnets are so rare
T2 - Insights from the p -wave Kondo model
AU - Ahamed, Shadab
AU - Moessner, Roderich
AU - Erten, Onur
N1 - Funding Information:
We would like to thank Manuel Brando, Christoph Geibel, and Turan Birol for fruitful discussions. This work is in part supported by the DFG via the Leibniz Prize Programme. O.E. acknowledges support from ASU startup grant.
Publisher Copyright:
© 2018 American Physical Society.
PY - 2018/8/21
Y1 - 2018/8/21
N2 - Magnetic exchange in Kondo lattice systems is of the Ruderman-Kittel-Kasuya-Yosida type, whose sign depends on the Fermi wave vector kF. In the simplest setting, for small kF, the interaction is predominately ferromagnetic, whereas it turns more antiferromagnetic with growing kF. It is remarkable that even though kF varies vastly among the rare-earth systems, an overwhelming majority of lanthanide magnets are in fact antiferromagnets. To address this puzzle, we investigate the effects of a p-wave form factor for the Kondo coupling pertinent to nearly all rare-earth intermetallics. We show that this leads to interference effects which for small kF are destructive, greatly reducing the size of the RKKY interaction in the cases where ferromagnetism would otherwise be strongest. By contrast, for large kF, constructive interference can enhance antiferromagnetic exchange. Based on this, we propose a route for designing ferromagnetic rare-earth magnets.
AB - Magnetic exchange in Kondo lattice systems is of the Ruderman-Kittel-Kasuya-Yosida type, whose sign depends on the Fermi wave vector kF. In the simplest setting, for small kF, the interaction is predominately ferromagnetic, whereas it turns more antiferromagnetic with growing kF. It is remarkable that even though kF varies vastly among the rare-earth systems, an overwhelming majority of lanthanide magnets are in fact antiferromagnets. To address this puzzle, we investigate the effects of a p-wave form factor for the Kondo coupling pertinent to nearly all rare-earth intermetallics. We show that this leads to interference effects which for small kF are destructive, greatly reducing the size of the RKKY interaction in the cases where ferromagnetism would otherwise be strongest. By contrast, for large kF, constructive interference can enhance antiferromagnetic exchange. Based on this, we propose a route for designing ferromagnetic rare-earth magnets.
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U2 - 10.1103/PhysRevB.98.054420
DO - 10.1103/PhysRevB.98.054420
M3 - Article
AN - SCOPUS:85052648760
SN - 2469-9950
VL - 98
JO - Physical Review B
JF - Physical Review B
IS - 5
M1 - 054420
ER -