Carlindo Vitoriano et al 2002 J. Phys. A: Math. Gen. 35 9049 doi:10.1088/0305-4470/35/43/305
Carlindo Vitoriano, M D Coutinho-Filho and E P Raposo
Show affiliationsWe study the Ising and Heisenberg models on one-dimensional ferrimagnetic bipartite chains with the special AB2 unit-cell topology and experimental motivation in inorganic and organic magnetic polymers. The spin-1/2 AB2 Ising case is exactly solved in the presence of an external magnetic field. We also derive asymptotical low- and high-temperature limits of several thermodynamical quantities of the zero-field classical AB2 Heisenberg model. Further, the quantum spin-1/2 AB2 Heisenberg model in a field is studied using a mean-field approach.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 43 (1 November 2002)
Received 24 July 2002
Published 15 October 2002
Carlindo Vitoriano et al 2002 J. Phys. A: Math. Gen. 35 9049
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