Skip to main content

Spin dynamics of an ultra-small nanoscale molecular magnet


We present mathematical transformations which allow us to calculate the spin dynamics of an ultra-small nanoscale molecular magnet consisting of a dimer system of classical (high) Heisenberg spins. We derive exact analytic expressions (in integral form) for the time-dependent spin autocorrelation function and several other quantities. The properties of the time-dependent spin autocorrelation function in terms of various coupling parameters and temperature are discussed in detail.



  1. Gatteschi D, Caneschi A, Pardi L, Sessoli R: Science. 1994, 265: 1054. COI number [1:CAS:528:DyaK1cXjvFCjsQ%3D%3D] 10.1126/science.265.5175.1054

    Article  Google Scholar 

  2. Lascialfari A, Gatteschi D, Borsa F, Cornia A: Phys. Rev. B. 1997, 55: 14341. COI number [1:CAS:528:DyaK2sXjslyjtLw%3D] 10.1103/PhysRevB.55.14341

    Article  Google Scholar 

  3. Barra AL, Caneschi A, Cornia A, de Biani FF, Gatteschi D, Sangregorio C, Sessoli R, Sorace L: Journal of the American Chemical Society. 1999,121(22):5302. COI number [1:CAS:528:DyaK1MXjt1artb8%3D] 10.1021/ja9818755

    Article  Google Scholar 

  4. Bino A, Johnston DC, Goshorn DP, Halbert TR, Stiefel EI: Science. 1988, 241: 1479. COI number [1:CAS:528:DyaL1MXhsVKmsLo%3D] 10.1126/science.241.4872.1479

    Article  Google Scholar 

  5. Caneschi A, Cornia A, Fabretti AC, Gatteschi D, Malavasi W: Inorg. Chem.. 1995, 34: 4660. COI number [1:CAS:528:DyaK2MXnsVKktb0%3D] 10.1021/ic00122a024

    Article  Google Scholar 

  6. Lascialfari A, Tabak F, Abbati GL, Borsa F, Corti M, Gatteschi D: J. Appl. Phys.. 1999, 85: 4539. COI number [1:CAS:528:DyaK1MXis1emtb4%3D] 10.1063/1.370401

    Article  Google Scholar 

  7. Ciftja O, Luban M, Auslender M, Luscombe JH: Phys. Rev. B.. 1999, 60: 10122. COI number [1:CAS:528:DyaK1MXmsVelt7o%3D] 10.1103/PhysRevB.60.10122

    Article  Google Scholar 

  8. Luscombe J, Luban M, Borsa F: J. Chem. Phys.. 1998, 108: 7266. COI number [1:CAS:528:DyaK1cXisVaqsLo%3D] 10.1063/1.476144

    Article  Google Scholar 

  9. Lascialfari A, Jang ZH, Borsa F, Gatteschi D, Cornia A: J. Appl. Phys.. 1998, 83: 6946. COI number [1:CAS:528:DyaK1cXjtFOnu7c%3D] 10.1063/1.367564

    Article  Google Scholar 

  10. Muller G: Phys. Rev. Lett.. 1988, 60: 2785. 10.1103/PhysRevLett.60.2785

    Article  Google Scholar 

  11. Gerling RW, Landau DP: Phys. Rev. Lett.. 1989, 63: 812. 10.1103/PhysRevLett.63.812

    Article  Google Scholar 

  12. Ciftja O: Physica A. 2000, 286: 541. 10.1016/S0378-4371(00)00326-5

    Article  Google Scholar 

  13. Ciftja O: J. Phys. A: Math. Gen.. 2001, 34: 1611. COI number [1:CAS:528:DC%2BD3MXitlOlsL0%3D] 10.1088/0305-4470/34/8/308

    Article  Google Scholar 

  14. Le Gall F, de Biani FF, Caneschi A, Cinelli P, Cornia A, Fabretti AC, Gatteschi D: Inorg. Chem. Acta. 1997, 262: 123. COI number [1:CAS:528:DyaK2sXmsFGrtro%3D] 10.1016/S0020-1693(97)05482-0

    Article  Google Scholar 

  15. Muller G: J. Phys. (Paris). 1988, C8: 1403.

    Google Scholar 

Download references

Author information

Authors and Affiliations


Corresponding author

Correspondence to Orion Ciftja.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Ciftja, O. Spin dynamics of an ultra-small nanoscale molecular magnet. Nanoscale Res Lett 2, 168 (2007).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI:


  • Spin dynamics
  • Nanoscale molecular magnetism
  • Time-dependent spin autocorrelation function
  • Exchange interaction
  • Biquadratic exchange interaction
  • 75.10.Hk
  • 75.50.Xx