The classical antiferromagnetic XX model on the icosahedron shows two magnetization discontinuities and a degenerate ground state arising from the coupling of two pentagons that introduces triangular interaction units.
Auerbach, Interacting Electrons and Quantum Mag- netism (Springer Verlag, New York, 1998), ISBN 978-0- 387-94286-5
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Magnetic field-induced degenerate ground state in the classical antiferromagnetic XX model on the icosahedron
The classical antiferromagnetic XX model on the icosahedron shows two magnetization discontinuities and a degenerate ground state arising from the coupling of two pentagons that introduces triangular interaction units.