Theory of the frustration effect. II. Ising spins on a square lattice

1977/09/28 by J. Vannimenus, G. Toulouse · 321 citations
Physics and Astronomy · #Antiferromagnetism #Bioinformatics #Condensed matter physics #Degeneracy (biology) #Ferromagnetism #Frustration #Geometrical frustration #Ground state #Ising model #Lattice (music) #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Spins #Square lattice #Theoretical and Computational Physics

paper · doi:10.1088/0022-3719/10/18/008

published in Journal of Physics C Solid State Physics 10(18), L537-L542 (IOP Publishing)

openalex publication_date 1977/09/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

For pt.I see Commun. Phys., vol.2, p.115 (1977). Presents numerical results for the ground-state properties of the simplest system showing the frustration effect, Ising spins on a square lattice with a variable concentration x of antiferromagnetic interactions. Ferromagnetism disappears at a concentration x c approximately 0.09. The ground-state energy and degeneracy have markedly different behaviours below and above x c . The authors compare the results with other calculations and stress the advantages of the frustration approach.

Citations

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