Ground-State Energy of Biquadratic Spin Systems (S=3/2) in the (1/z)^1-Approximation

• Authors: E. Błaszczak , J. Aksamit , A. Franek
• Languages of publication: EN

Abstracts

EN

Corrections to the molecular-field ground-state energies of the Heisenberg model with isotropic biquadratic interactions (spin S=3/2) are calculated in the (1/z)^1-approximation using the diagrammatic technique based on the Wick reduction theorem (z is the number of spins interacting with any given spin). The present results for the antiferri- and antiferromagnetic phases complete the previously obtained data for the antiquadrupolar, ferri- and ferromagnetic phases. From among the boundaries between different ground states only that between the antiferri- and antiferromagnetic phases is shifted with respect to its molecular-field value.

Keywords

EN

75.10.Jm; 75.30.Ds; 75.30.Et; 75.50.Ee

Discipline

• 75.30.Et: Exchange and superexchange interactions(see also 71.70.Gm Exchange interactions)
• 75.30.Ds: Spin waves(for spin-wave resonance, see 76.50.+g)
• 75.50.Ee: Antiferromagnetics
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2003
• Volume: 103
• Issue: 4
• Pages: 403-414

Dates

published

2003-04

received

2002-11-12

Contributors

author

E. Błaszczak

• Department of Medical Biophysics, Medical University of Silesia, Medyków 18, 40-752 Katowice, Poland

author

J. Aksamit

• Institute of Physics, Silesian University, Uniwersytecka 4, 40-007 Katowice, Poland

author

A. Franek

• Department of Medical Biophysics, Medical University of Silesia, Medyków 18, 40-752 Katowice, Poland

References

• 1. R.J. Elliott, M.F. Thorpe, J. Appl. Phys., 39, 802, 1968
• 2. J.M. Baker, Rep. Prog. Phys., 34, 109, 1971
• 3. G.A. Gehring, K.A. Gehring, Rep. Prog. Phys., 38, 1, 1975
• 4. P. Morin, J. Rouchy, D. Schmitt, Phys. Rev. B, 17, 3684, 1978
• 5. K. Walasek, K. Lukierska-Walasek, Phys. Rev. B, 49, 9460, 1994
• 6. P.W. Anderson, Phys. Rev., 115, 2, 1959
• 7. C. Kittel, Phys. Rev., 120, 335, 1960
• 8. T. Iwashita, N. Uryu, J. Phys. Soc. Jpn., 36, 48, 1974
• 9. P.M. Levy, Phys. Rev. B, 2, 1429, 1970
• 10. U. Kοbler, A. Hoser, M. Kawakami, T. Chatterji, J. Rebizant, J. Magn. Magn. Mater., 205, 343, 1999
• 11. E. Błaszczak, J. Aksamit, Phys. Status Solidi B, 231, 85, 2002
• 12. D. Kim, R.I. Joseph, J. Phys. A, Math. Nucl. Gen., 7, 308, 1974
• 13. P.W. Anderson, Phys. Rev., 83, 1260, 1951
• 14. M. Nauciel-Bloch, G. Sarma, A. Castets, Phys. Rev. B, 5, 4603, 1972
• 15. M. Barma, Phys. Rev. B, 10, 4650, 1974
• 16. J. Aksamit, J. Phys. C, Solid State Phys., 13, L871, 1980
• 17. P.W. Anderson, Phys. Rev., 86, 694, 1952
• 18. L.J. de Jongh, A.R. Miedema, Adv. Phys., 23, 1, 1974
• 19. K. Skrobiś, B. Westwański, Physica A, 83, 257, 1976
• 20. E. Błaszczak, B. Westwański, Phys. Status Solidi B, 94, 29, 1979
• 21. J. Sivardière, M. Blume, Phys. Rev. B, 5, 1126, 1972
• 22. B. Westwański, K. Skrobiś, Physica A, 87, 515, 1977
• 23. B. Westwański, Physica A, 92, 501, 1978
• 24. V.G. Vaks, A.I. Larkin, S.A. Pikin, Zh. Eksp. Teor. Fiz., 53, 281, 1967; 53, 1089, 1967
• 25. E. Błaszczak, B. Westwański, K. Skrobiś, Phys. Status Solidi B, 91, 283, 1979

Identifiers

DOI

10.12693/APhysPolA.103.403