Highly Degenerated Ground States in Some Rings Modeled by the Ising Spins with Competing Interactions

W. Florek, M. Antkowiak, G. Kamieniarz and K. Jaśniewicz-Pacer Faculty of Physics, Adam Mickiewicz University in Poznań, Poland

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We discuss three Ising ring systems with competing interactions which are analogs of quantum systems and we show that they exhibit similar properties. In particular, the archetypal system of three antiferromagnetically coupled spins s has two magnetically degenerated ground states with |M|=s, when 013=α<1=J12=J23. The same effect is observed in the centered rings and even-numbered systems with antiferromagnetic couplings between the second neighbors which are the geometrically frustrated.

DOI: 10.12693/APhysPolA.133.411 PACS numbers: 75.10.Jm, 75.50.Ee, 75.50.Xx