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2018 | 133 | 3 | 411-413
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Highly Degenerated Ground States in Some Rings Modeled by the Ising Spins with Competing Interactions

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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 0
  • Faculty of Physics, Adam Mickiewicz University in Poznań, Poland
  • Faculty of Physics, Adam Mickiewicz University in Poznań, Poland
  • Faculty of Physics, Adam Mickiewicz University in Poznań, Poland
  • Faculty of Physics, Adam Mickiewicz University in Poznań, Poland
  • [1] G. Toulouse, in: Spin Glass Theory, Beyond, Eds. M. Mézard, G. Parisi, M.A. Virasoro, World Sci., Singapore 2004, p. 99; reprinted from Comm. Physique 2, 115 (1997), doi: 10.1142/9789812799371_0009
  • [2] J. Vannimenus, G. Toulouse, J. Phys. C: Solid State Physics 10, L537 (1977), doi: 10.1088/0022-3719/10/18/008
  • [3] S. Kirkpatrick, Phys. Rev. B 16, 4630 (1977), doi: 10.1103/PhysRevB.16.4630
  • [4] Y. Furukawa, K. Kiuchi, K. Kumagai, Y. Ajiro, Y. Narumi, M. Iwaki, K. Kindo, A. Bianchi, S. Carretta, P. Santini, F. Borsa, G.A. Timco, R.E.P. Winpenny, Phys. Rev. B 79, 134416 (2009), doi: 10.1103/PhysRevB.79.134416
  • [5] M.L. Baker, G.A. Timco, S. Piligkos, J.S. Mathiesone, H. Mutka, F. Tuna, P. Kozłowski, M. Antkowiak, T. Guidi, T. Gupta, H. Rath, R.J. Woolfson, G. Kamieniarz, R.G. Pritchard, H. Weihe, L. Cronin, G. Rajaraman, D. Collison, E.J.L. McInnes, R.E.P. Winpenny, Proc. Nat. Acad. Sci. 109, 19113 (2012), doi: 10.1073/pnas.1213127109
  • [6] P. Kozłowski, M. Antkowiak, G. Kamieniarz, J. Nanopart. Res. 13, 6093 (2011), doi: 10.1007/s11051-011-0337-8
  • [7] M. Antkowiak, P. Kozłowski, G. Kamieniarz, G.A. Timco, F. Tuna, R.E.P. Winpenny, Phys. Rev. B 87,184430 (2013), doi: 10.1103/PhysRevB.87.184430
  • [8] P. Kozłowski, Phys. Rev. B 91, 174432 (2015), doi: 10.1103/PhysRevB.91.174432
  • [9] G. Kamieniarz, W. Florek, M. Antkowiak, Phys. Rev. B 92, 140411(R) (2015), doi: 10.1103/PhysRevB.92.140411
  • [10] W. Florek, M. Antkowiak, G. Kamieniarz, Phys. Rev. B 94, 224421 (2016), doi: 10.1103/PhysRevB.94.224421
  • [11] G. Kamieniarz, R. Matysiak, W. Florek, S. Wałcerz, J. Mag. Mag. Mater. 203, 271 (1999), doi: 10.1016/S0304-8853(99)00267-X
  • [12] G. Kamieniarz, P. Kozłowski, G. Musiał, W. Florek, M. Antkowiak, M. Haglauer, A. Caramico D'Auria, F. Esposito, Inorg. Chim. Acta 361, 3690 (2008), doi: 10.1016/j.ica.2008.03.106
  • [13] E. Garlatti, S. Bordignon, S. Carretta, G. Allodi, G. Amoretti, R. De Renzi, A. Lascialfari, Y. Furukawa, G.A. Timco, R. Woolfson, R.E.P. Winpenny, P. Santini, Phys. Rev. B 93, 024424 (2016), doi: 10.1103/PhysRevB.93.024424
  • [14] M. Sobocińska, M. Antkowiak, M. Wojciechowski, G. Kamieniarz, J. Utko, T. Lis, Dalton Trans. 45, 7303 (2016), doi: 10.1039/C5DT04869A
  • [15] O. Kahn, Chem. Phys. Lett. 265, 109 (1997), doi: 10.1016/S0009-2614(96)01424-8
  • [16] J. Schnack, Dalton Trans. 39, 4677 (2010), doi: 10.1039/B925358K
  • [17] H.T. Diep, H. Giacomini, in: Frustrated Spin Systems, Ed. H.T. Diep, World Sci., Singapore 2013, p. 1, doi: 10.1142/9789814440745_0001
  • [18] A.M. Ako, O. Waldmann, V. Mereacre, F. Klöwer, I.J. Hewitt, Ch.E. Anson, H.U. Güdel, A.K. Powell, Inorg. Chem. 46, 756 (2007), doi: 10.1021/ic061650s
  • [19] J.W. Sharples, D. Collison, E.J.L. McInnes, J. Schnack, E. Palacios, M. Evangelisti, Nature Commun. 5, 5321 (2014), doi: 10.1038/ncomms6321
  • [20] M. Grajek, T. Kopyciuk, W. Florek, A. Marlewski, Acta Phys. Pol. A 133, 417 (2018), doi: 10.12693/APhysPolA.133.417
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