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

100%
Florek W., Antkowiak M., Kamieniarz G., Jaśniewicz-Pacer K.
Acta Physica Polonica A
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2018
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vol. 133
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issue 3
411-413
EN
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 0
2
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Magnet with Ferromagnetic Nearest-Neighbor and Antiferromagnetic Next-Nearest-Neighbor Exchange Interactions

64%
Szymczak R., Szymczak H., Kamieniarz G., Szukowski G., Jaśniewicz-Pacer K., Florek W., Maltsev V., Babonas G.
Acta Physica Polonica A
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2009
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vol. 115
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issue 5
925-930
EN
Magnetic properties of Pb[Cu(SO_4)(OH)_2] (linarite) natural single crystals were studied by magnetization and specific heat measurements. The angular dependences of magnetization were revealed which correlated with the regularities of the crystal structure. At about 2.8 K this quasi-one-dimensional Heisenberg system undergoes a phase transition to the long-range antiferromagnetic order with antiparallel magnetic moments aligned probably along the b-axis. The antiferromagnetic order is evidenced by the metamagnetic transition and pronounced λ-type anomaly at T_N in the specific heat. Using phenomenological modeling based on a quantum transfer-matrix method, we argue that at higher temperatures linarite is a quasi-one-dimensional system with competing ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchange interactions.
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