Ferro- and Antiferromagnetic Aspects of Alternating Spin Systems

References

[1] H. J. De Vega and F. Woynarivich, “New Integrable Quan- tum Chains Combining Different Kinds of Spins,” Jour- nal of Physics A, Vol. 25, No. 17, 1992, p. 4499.
doi:10.1088/0305-4470/25/17/012

[2] For more details see Ref.([14]) and reference therein.

[3] S. K. Pati, S. Remasesha and D. Sen, “Low-Lying Exci- ted States and Low-Temperature Properties of an Alterna- ting Spin-1-Spin-1/2 Chain: A Density-Matrix Renorma- lization-Group Study,” Physical Review B, Vol. 55, No. 14, 1997, p. 8894.

[4] S. K. Pati, S. Ramasesha and D. Sen, “A Density Matrix Renormalization Group Study of Low- Energy Excitations and Low-Temperature Properties of Alternating Spin Sys- tems,” Journal of Physics: Condfensed Matter, Vol. 9, No. 41, 1997, p. 8707. doi:10.1088/0953-8984/9/41/016

[5] C. Wu, B. Chen, X. Dai, Y. Yu and Z.-B. Su, “Schwin- ger-Boson Mean-Field Theory of the Heisenberg Ferri- magnetic Spin Chain,” Physical Review B, Vol. 60, No. 2, 1999, pp. 1057-1063. doi:10.1103/PhysRevB.60.1057

[6] S. Yamamoto and T. Fukui, “Thermodynamic Properties of Heisenberg Ferrimagnetic Spin Chains: Ferromag- netic-Antiferromagnetic Crossover,” Physical Review B, Vol. 57, No. 22, 1998, pp. 14008-14011.
doi:10.1103/PhysRevB.57.R14008

[7] S. Yamamoto, T. Fukui, K. Maisinger and U. Schollowo- ck, “Combination of Ferromagnetic and Antiferromag- netic Features in Heisenberg Ferrimagnets,” Journal of Physics: Condfensed Matter, Vol. 10, No. 48, 1998, p. 11033. doi:10.1088/0953-8984/10/48/023

[8] S. Yamamoto and T. Sakai, “Low-Energy Structure of Heisenberg Ferrimagnetic Spin Chains,” Journal of the Physical Society of Japan, Vol. 67, 1998, pp. 3711-3714.
doi:10.1143/JPSJ.67.3711

[9] S.-S. Gong, W. Li, Y. Zhao and G. Su, “Magnetism and Thermodynamics of Spin-(1/2, 1) Decorated Heisenberg Chain with Spin-1 Pendants,” Physical Review B, Vol. 81, No. 21, 2010, pp. 214431-214439.
doi:10.1103/PhysRevB.81.214431

[10] N. B. Ivanov, “Spin Models of Quasi-1D Quantum Ferri- magnets with Competing Interactions,” Condensed Mat- ter Physics, Vol. 12, No. 3, 2009, pp. 435-447.
doi:10.5488/CMP.12.3.435

[11] W Selke and J. Oitmaa, “Monte Carlo Study of Mixed- Spin S = (1/2, 1) Ising Ferrimagnets,” Journal of Physics: Condfensed Matter, Vol. 22, No. 7, 2010, p. 76004.
doi:10.1088/0953-8984/22/7/076004

[12] T. Sarkar, V. Pralong, V. Caignaert and B. Raveau, “Com- petition between Ferrimagnetism and Magnetic Frustration in Zinc Substituted YBaFe4O7,” Chemistry of Materials, Vol. 22, No. 9, 2010, p. 2885.

[13] A. Winkler, N. Narayanan, D. Mikhailova, K. G. Bramnik, H. Ehrenberg, H. Fuess, G. Vaitheeswaran, V. Kanchana, F. Wilhelm, A. Rogalev, A. Kolchinskaya and L. Alff, “Magnetism in Re-Based Ferrimagnetic Double Pero- vskites,” New Journal of Physics, Vol. 11, No. 7, 2009, p. 73047. doi:10.1088/1367-2630/11/7/073047

[14] A. Al-Omari and A. H. Nayyar, “Dimerization of Ferri- magnets on Chains and Square Lattices,” Journal of Physics: Condfensed Matter, Vol. 11, No. 2, 1999, p. 465.
doi:10.1088/0953-8984/11/2/012

[15] A. Al-Omari and A. H. Nayyar, “The Combined Effect of Frustration and Dimerization in Ferrimagnetic Chains and Square Lattices,” Journal of Physics: Condfensed Matter, Vol. 12, No. 48, 2000, p. 9949.
doi:10.1088/0953-8984/12/48/311

[16] M. Takahashi, “Modified Spin-Wave Theory of a Square- Lattice Antiferromagnet,” Physical Review B, Vol. 40, No. 2, 1989, pp. 2494-2501. doi:10.1103/PhysRevB.40.2494

[17] Aiman Al-Omari, “Thermal Properties of Ferrimagnetic Systems,” Accepted for Publication in World Journal of Condensed Matter Physics, August 2011.

[18] S. Yamamoto, “Magnetic Properties of Quantum Ferrima- gnetic Spin Chains,” Physical Review B, Vol. 59, No. 2, 1999, pp. 1024-1027. doi:10.1103/PhysRevB.59.1024

[19] M. Hagirwara, K. Minami, Y. Narumi, K. Tatani and K. Kindo, “Magnetic Properties of a Quantum Ferrimagnet: NiCu(pba)(D2O)3?2D2O,” Journal of the Physical Society of Japan, Vol. 67, 1998, pp. 2209-2211.
doi:10.1143/JPSJ.67.2209

[20] K. Maisinger, U. Schollw?ck, S. Brehmer, H.-J. Mikeska, and S. Yamamoto, “Thermodynamics of the (1, 1/2) Fer- rimagnet in Finite Magnetic Fields,” Physical Review B, Vol. 58, No. 10, 1998, pp. 5908-5911.
doi:10.1103/PhysRevB.58.R5908

[21] N. Ivanov, J. Richter and U. Schollwock, “Frustrated Quan- tum Heisenberg Ferrimagnetic Chains,” Physical Review B, Vol. 58, No. 21, 1998, pp. 14456-14461.
doi:10.1103/PhysRevB.58.14456

[22] S. Yamamoto, T. Fukui and T. Sakai, “Characterization of Ferrimagnetic Heisenberg Chains According to the Con- stituent Spins,” The European Physical Journal B, Vol. 15, No. 21, 2000, pp. 211-219.
doi:10.1007/s100510051118

[23] S. Tang and J. E. Hirsch, “Peierls Instability in the Two- Dimensional Half-Filled Hubbard Model,” Physical Re- view B, Vol. 37, No. 16, 1988, pp. 9546-9558.
doi:10.1103/PhysRevB.37.9546

[24] A. Feiguin, C. J. Gazza, A. E. Trumper and H. A. Cecca- tto, “Spin-Peierls Dimerization and Frustration in Two- Dimensional Antiferromagnets,” Journal of Physics: Con- dfensed Matter, Vol. 6 No. 34, 1994, p. 503.
doi:10.1088/0953-8984/6/34/002

[25] Y. Takushima, A. Koga and N.Kawakami, “Magnetic Double Structure for S = 1 and S = 1/2 Mixed-Spin Sys- tems,” Physical Review B, Vol. 61, No. 22, 2000, pp. 15189-15195. doi:10.1103/PhysRevB.61.15189