Approximate Approach to Magnetic and Thermodynamic Properties of Mixed Spin (1/2-S) Chains with AB and AB_2 Topology

• Authors: R. Pełka , D. Pinkowicz
• Languages of publication: EN

Abstracts

EN

Motivated by the rapid development in the synthesis of novel molecule-based magnets, we have investigated magnetic and thermodynamic properties of mixed spin (s-S) exchange coupled chains displaying a simple linear AB or a knotted AB_2 arrangement. Approximate approach for s = 1/2 and S ≥ 5/2, treating at an intermediate step spin S operator as a commuting variable and using the transfer matrix technique, is used. Susceptibility, magnetization and heat capacity of both spin systems are evaluated numerically from the corresponding free energy for S = 5/2. Uniform ferromagnetic and antiferromagnetic couplings are discussed. The procedure reproduces the right values of saturation magnetization and the entropy content of the systems, corroborating its correctness. χ T curves are shown to depend crucially on the μ_{B} H/J ratio. For zero-field heat capacity a double-peak structure is revealed for the AB chain, whereas for the AB_2 chain only one broad anomaly is observed.

Keywords

EN

75.10.Pq; 71.70.Gm; 75.30.Cr; 75.40.Cx

Discipline

• 75.30.Cr: Saturation moments and magnetic susceptibilities
• 75.10.Pq: Spin chain models
• 75.40.Cx: Static properties (order parameter, static susceptibility, heat capacities, critical exponents, etc.)
• 71.70.Gm: Exchange interactions

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2010
• Volume: 118
• Issue: 5
• Pages: 959-961

Dates

published

2010-11

Contributors

author

R. Pełka

• The Niewodniczański Institute of Nuclear Physics, Polish Academy of Sciences, E. Radzikowskiego 152, 31-342 Kraków, Poland

author

D. Pinkowicz

• Faculty of Chemistry, Jagiellonian University, Ingardena 3, 30-060 Kraków, Poland

References

• 1. C.M. Wynn, M.A. Gîrtu, J.S. Miller, A.J. Epstein, Phys. Rev. B 56, 14050 (1997); C.M. Wynn, M.A. Gîrtu, J. Zhang, J.S. Miller, A.J. Epstein, Phys. Rev. B 58, 8508 (1998)
• 2. M.S. Reis, A. Moreira dos Santos, V.S. Amaral, P. Brando, J. Rocha, Phys. Rev. B 73, 214415 (2006)
• 3. S. Yamamoto, Phys. Rev. B 69, 064426 (2004)
• 4. R. Clérac, H. Miyasaka, M. Yamashita, C. Coulon, J. Am. Chem. Soc. 124, 12837 (2002)
• 5. A.S. Ovchinnikov, I.G. Bostrem, V.E. Sinitsyn, A.S. Boyarchenkov, N.V. Baranov, K. Inoue, J. Phys., Condens. Matter 14, 8067 (2002)
• 6. K. Fegy, D. Luneau, E. Belorizky, M. Novac, J.-L. Tholence, C. Paulsen, T. Ohm, P. Rey, Inorg. Chem. 37, 4524 (1998)
• 7. J. Seiden, J. Phys. Lett. 44, 947 (1983)
• 8. M. Matsuda, K. Kakurai, A.A. Belik, M. Azuma, M. Takano, M. Fujita, Phys. Rev. B 71, 144411 (2005); H. Kikuchi, Y. Fujii, M. Chiba, S. Mitsudo, T. Idehara, T. Tonegawa, K. Okamoto, T. Sakai, T. Kuwai, H. Ohta, Phys. Rev. Lett. 94, 227201 (2005); H.H. Fu, K.L. Yao, Z.L. Liu, Phys. Rev. B 73, 104454 (2006); B. Gu, G. Su, Phys. Rev. B 75, 174437 (2007)
• 9. Y. Hosokoshi, K. Katoh, Y. Nakazawa, H. Nakano, K. Inoue, J. Am. Chem. Soc. 123, 7921 (2001); K.L. Yao, Q.M. Liu, Z.L. Liu, Phys. Rev. B 70, 224430 (2004); K.L. Yao, H.H. Fu, Z.L. Liu, Solid State Commun. 135, 197 (2005)
• 10. R. Georges, J. Curély, J.C. Gianduzzo, Q. Xu, O. Kahn, Y. Pei, Physica B 153, 77 (1988); J. Curély, Ph.D. Thesis, Université de Bordeaux I, 1990
• 11. J. Curély, R. Georges, Phys. Rev. B 46, 3520 (1992)
• 12. M.D. Coutinho-Filho, R.R. Montenegro-Filho, E.P. Raposo, C. Vitoriano, M.H. Oliveira, J. Braz. Chem. Soc. 19, 232 (2008)
• 13. S. Yamamoto, J. Ohara, Phys. Rev. B 76, 014409 (2007); N.B. Ivanov, Condens. Matter Phys. 12, 435 (2009)
• 14. L. Čanová, J. Strečka, M. Jaščur, J. Phys., Condens. Matter 18, 4967 (2006)
• 15. H.H. Fu, K.L. Yao, Z.L. Liu, J. Magn. Magn. Mater. 305, 253 (2006)
• 16. E.P. Raposo, M.D. Coutinho-Filho, Phys. Rev. B 59, 14384 (1999)
• 17. M. Verdaguer, A. Gleizes, J.P. Renard, J. Seiden, Phys. Rev. B 29, 5144 (1984)
• 18. R. Pełka, M. Bałanda, P. Przychodzeń, K. Tomala, B. Sieklucka, T. Wasiutyński, Phys. Status Solidi C 3, 216 (2006); P. Przychodzeń, K. Lewiński, R. Pełka, M. Bałanda, K. Tomala, B. Sieklucka, Dalton Trans., 625 (2006)

Identifiers

DOI

10.12693/APhysPolA.118.959