Universal Sequence of the Ground States and Energy Level Ordering in Frustrated Antiferromagnetic Rings with a Single Bond Defect

• Authors: M. Antkowiak , W. Florek , G. Kamieniarz
• Languages of publication: EN

Abstracts

EN

The universal sequence of the ground states for antiferromagnetic frustrated rings with the odd number of the local spins s and a single bond defect α described by the isotropic Heisenberg Hamiltonian is discussed. The Lieb-Mattis energy level ordering in a pentanuclear ring is revealed and the arising magnetisation steps are demonstrated.

Keywords

EN

75.10.Jm; 75.10.Hk; 75.50.Xx; 03.65.Aa

Discipline

• 75.10.Hk: Classical spin models
• 03.65.Aa: Quantum systems with finite Hilbert space
• 75.50.Xx: Molecular magnets
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 131
• Issue: 4
• Pages: 890-892

Dates

published

2017-04

Contributors

author

M. Antkowiak

• Adam Mickiewicz University in Poznań, Faculty of Physics, Umultowska 85, 61-614 Poznań, Poland

author

W. Florek

• Adam Mickiewicz University in Poznań, Faculty of Physics, Umultowska 85, 61-614 Poznań, Poland

author

G. Kamieniarz

• Adam Mickiewicz University in Poznań, Faculty of Physics, Umultowska 85, 61-614 Poznań, Poland

References

• [1] J.W. Sharples, D. Collison, E.J.L. McInnes, J. Schnack, E. Palacios, M. Evangelisti, Nature Commun. 5, 5321 (2014), doi: 10.1038/ncomms6321
• [2] M.L. Baker, T. Guidi, S. Carretta, J. Ollivier, H. Mutka, H.U. Güdel, G.A. Timco, E.J.L. McInnes, G. Amoretti, R.E.P. Winpenny, P. Santini, Nature Phys. 8, 906 (2012), doi: 10.1038/nphys2431
• [3] 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. Natl. Acad. Sci. USA 109, 19113 (2012), doi: 10.1073/pnas.1213127109
• [4] G. Kamieniarz, W. Florek, M. Antkowiak, Phys. Rev. B 92, 140411(R) (2015), doi: 10.1103/PhysRevB.92.140411
• [5] M.L. Baker, T. Lancaster, A. Chiesa, G. Amoretti, P.J. Baker, C. Barker, S.J. Blundell, S. Carretta, D. Collison, H.U. Güdel, T. Guidi, E.J.L. McInnes, J.S. Möller, H. Mutka, J. Ollivier, F.L. Pratt, P. Santini, F. Tuna, P.L.W. Tregenna-Piggott, I.J. Vitorica-Yrezabal, G.A. Timco, R.E.P. Winpenny, Chem. - Europ. J. 22, 1779 (2016), doi: 10.1002/chem.201503431
• [6] O. Cador, D. Gatteschi, R. Sessoli, A.-L. Barra, G. Timco, R.E.P. Winpenny, J. Magn. Magn. Mater. 290-291, 55 (2005), doi: 10.1016/j.jmmm.2004.11.159
• [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] J. Schnack, Dalton Trans. 39, 4677 (2010), doi: 10.1039/B925358K
• [9] P. Kozłowski, M. Antkowiak, G. Kamieniarz, J. Nanopart. Res. 13, 6093 (2011), doi: 10.1007/s11051-011-0337-8
• [10] E. Lieb, D. Mattis, J. Math. Phys. 3, 749 (1962), doi: 10.1063/1.1724276
• [11] O. Kahn, Chem. Phys. Lett. 265, 109 (1997), doi: 10.1016/S0009-2614(96)01424-8
• [12] J. Richter, N. Ivanov, K. Retzlaff, A. Voigt, J. Magn. Magn. Mater. 140-144, 1611 (1995), doi: 10.1016/0304-8853(94)00522-2
• [13] J. Schnack, M. Luban, Phys. Rev. B 63, 014418 (2000), doi: 10.1103/PhysRevB.63.014418
• [14] K. Bärwinkel, P. Hage, H.-J. Schmidt, J. Schnack, Phys. Rev. B 68, 054422 (2003), doi: 10.1103/PhysRevB.68.054422
• [15] G. Kamieniarz, P. Kozłowski, M. Antkowiak, P. Sobczak, T. Ślusarski, D.M. Tomecka, A. Barasiński, B. Brzostowski, A. Drzewiński, A. Bieńko, J. Mroziński, Acta Phys. Pol. A 121, 992 (2012), doi: 10.12693/APhysPolA.121.992
• [16] M. Sobocińska, M. Antkowiak, M. Wojciechowski, G. Kamieniarz, J. Utko, T. Lis, Dalton Trans. 45, 7303 (2016), doi: 10.1039/C5DT04869A

Identifiers

DOI

10.12693/APhysPolA.131.890