TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.2.042
TI  - Competition between frustration and spin dimensionality in the classical antiferromagnetic $n$-vector model with arbitrary $n$
PY  - 2023/06/08
UR  - https://scipost.org/SciPostPhysCore.6.2.042
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 2
SP  - 042
A1  - Konstantinidis, Nikolaos P.
AB  - A new method to characterize the strength of magnetic frustration is proposed by calculating the minimum dimensionality of the absolute ground states of the classical nearest-neighbor antiferromagnetic $n$-vector model with arbitrary $n$. Platonic solids in three and four dimensions and Archimedean solids have lowest-energy configurations in a number of spin dimensions equal to their real-space dimensionality. Fullerene molecules and geodesic icosahedra can produce ground states in as many as five spin dimensions. Frustration is also characterized by the maximum value of the round-state energy when the exchange interactions are allowed to vary.
ER  -

@Article{10.21468/SciPostPhysCore.6.2.042,
	title={{Competition between frustration and spin dimensionality in the classical antiferromagnetic $n$-vector model with arbitrary $n$}},
	author={Nikolaos P. Konstantinidis},
	journal={SciPost Phys. Core},
	volume={6},
	pages={042},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.2.042},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.2.042},
}