Low-field susceptibility of classical Heisenberg chains with arbitrary and different nearest-neighbour exchange

Journal of Physics Condensed Matter

Volumn 20, Issue 20, 2008, Pages

  Cregg, P J ^a   Garcia Palacios J L ^b   Svedlindh, P ^c   Murphy, K ^a  

^a South East Technological University   (Ireland)

^b UNIVERSITY OF ZARAGOZA   (Spain)

^c UPPSALA UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HAMILTONIANS; HIGH TEMPERATURE EFFECTS; MAGNETIC SUSCEPTIBILITY; MAGNETIZATION; MATHEMATICAL MODELS;

EXCHANGE ENERGY; MOLECULAR MAGNETS; NANOSCALE PROPERTIES; PARTITION FUNCTIONS;

MAGNETS;

EID: 43149105601     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/20/20/204119     Document Type: Article

References (24)

1. Gatteschi D 1994 Molecular magnetism: a basis for new materials Adv. Mater. 6 635-45
2. Gatteschi D, Caneschi A, Pardi L and Sessoli R 1994 Large clusters of metal ions: the transition from molecular to bulk magnets Science 265 1054-8
3. Gatteschi D and Sessoli R 2004 Molecular nanomagnets: the first 10 years J. Magn. Magn. Mater. 272-276 1030-6
4. Schnack J 2004 Molecular magnetism Quantum Magnetism (Lecture Notes in Physics vol 645) ed U Schollwöck et al (Berlin: Springer)
5. Luban M 2004 New issues in zero dimensions: magnetic molecules J. Magn. Magn. Mater. 272-276 e635-41
6. Fisher M E 1964 Magnetism in one-dimensional systems-the Heisenberg model for infinite spin Am. J. Phys. 32 343-6
7. Joyce G S 1967 Classical Heisenberg model Phys. Rev. 155 478-91
8. Blume M, Heller P and Lurie N A 1975 Classical one-dimensional Heisenberg magnet in an applied field Phys. Rev. B 11 4483-97
9. Luscombe J H, Luban M L and Borsa F 1998 Classical Heisenberg model of magnetic molecular ring clusters: accurate approximants for correlation functions and susceptibility J. Chem. Phys. 108 7266-73
10. Mendrup D, Schmidt H J, Schnack J and Luban M 2000 Transition form quantum to classical Heisenberg trimers: thermodynamics and time correlation functions Physica A 278 214-21
11. Schmidt H J, Schnack J and Luban M 2001 Heisenberg exchange parameters of molecular magnets form the high-temperature susceptibility expansion Phys. Rev. B 64 224415
12. Ciftja O 2001 The irregular tetrahedron of classical and quantum spins subjected to a magnetic field J. Phys. A: Math. Gen. 34 1611-27
13. Luban M, Kögerler P, Miller L L and Winpenny R E P 2003 Heisenberg model of a Cr8-cubane magnetic molecule J. Appl. Phys. 93 7083-5
14. Cregg P J and Svedlindh P 2007 Comment on 'Analytical results for a Bessel function times Legendre polynomials class integrals' J. Phys. A: Math. Theor. 40 14029-31
15. Cregg P J, García-Palacios J L and Svedlindh P 2007 Linear and non-linear magnetization susceptibility of classical Heisenberg chains with arbitrary and different exchange Phys. Rev. B submitted
16. García-Palacios J L, Jönsson P and Svedlindh P 2000 Nonlinear susceptibility of superparamagnets with a general anisotropy energy Phys. Rev. B 61 6726-33
17. Takahashi M 1976 Dimerized classical Heisenberg chains Solid State Phys. 9 2569-73
18. Furusaki A, Sigrist M, Lee P A, Tanaka K and Nagaosa N 1994 Random exchange Heisenberg chain for classical and quantum spins Phys. Rev. Lett. 73 2622-5
19. Engelhardt L, Luban M and Schröder C 2006 Finite quantum Heisenberg spin models and their approach to the classical limit Phys. Rev. B 74 054413
20. Luscombe J H and Luban M 1997 Wave-vector-dependent magnetic susceptibility of classical Heisenberg rings J. Phys.: Condens. Matter 9 6913-20
21. Cregg P J and Bessais L 1999 Series expansions for the magnetisation of a solid superparamagnetic system of non-interacting particles with anisotropy J. Magn. Magn. Mater. 202 554-64
22. Abramowitz M and Stegun I A (ed) 1965 Handbook of Mathematical Functions (New York: Dover)
23. Gerloch M 1983 Magnetism and Ligand Field Analysis (Cambridge: Cambridge University Press)
24. Gradshteyn I S and Ryzhik I M (ed) 1980 Tables of Integrals, Series, and Products (London: Academic)