Spontaneous magnetization of Kagome lattice in Ising model

Abstract

The spontaneous magnetization of the Kagome lattice in the Ising model is investigated. The proof of the fallacy of spontaneous magnetization obtained earlier and repeatedly migrating from publication to publication is given. An exact expression is presented in the standard Onsager form for spontaneous magnetization in the anisotropic case (depending on arbitrary values and signs of exchange interactions in all three directions in the Kagome lattice).

References in corpus (14)

• Herbertsmithite and the Search for the Quantum Spin Liquid
• Vesignieite BaCu3V2O8(OH)2 as a Candidate Spin-1/2 Kagome Antiferromagnet
• Magnetic behavior of volborthite Cu3V2O7(OH)2(H2O)2 determined by coupled trimers rather than frustrated chains
• Strong magnetic frustration in Y${}_3$Cu${}_9$(OH)${}_{19}$Cl${}_8$: a distorted kagome antiferromagnet
• Ground State and Intrinsic Susceptibility of the Kagome Antiferromagnet Vesignieite as seen by 51V NMR
• Complex-Temperature Properties of the Ising Model on 2D Heteropolygonal Lattices
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• The Ising Susceptibility Scaling Function
• Onsager and Kaufman's calculation of the spontaneous magnetization of the Ising model
• Partial long-range order in antiferromagnetic Potts models
• Antiferromagnetism in kagome $\alpha$-Cu${}_3$Mg(OH)${}_6$Br${}_2$
• Frustrations on decorated planar lattices in Ising model
• 500-th solution of 2D Ising model
• Thermodynamic properties of the Spin-1/2 Heisenberg Antiferromagnet with Anisotropic Exchange on the Kagome Lattice: Comparison with Volborthite