Magnetic Properties of a Tetramer Ferro-ferro-antiferro-antiferromagnetic Ising-Heisenberg Bond Alternating Chain as a Model System for Cu(3-Clpy)2(N3)2

Exactly solvable Ising-Heisenberg chain with triangularXXZ-Heisenberg plaquettes

“…This fact makes the simplified exactly solvable (in the "thermodynamic" sense) counterpart of the one-dimensional models which describes the magnetism of real materials very promising. Especially this approach can be successful in the series of bond alternating chain with spatially repeated sequence of ferromagnetic and antiferromagnetic interactions as it has been established for F-F-AF [8] and F-F-AF-AF [9] chains. Apparently, replacing the ferromagnetic bounds by Ising ones is especially "safe" in that sense, because the former ones favor parallel orientation of the spins, which is given by a separable vector of state.…”

“…Two different approaches have been discussed, the decorationiteration transformation [9,10,17] and the transfer-matrix direct formalism. Both approaches lead to the possibility of obtaining exact analytical expressions for the thermodynamic functions of the system.…”

“…(7)- (9). First of all, zero-field susceptibility diverges at T = 0 which is a consequence of the fact that T = 0 is the critical point at which the system possess an ideal long range spin order, which is destroyed by any finite temperature.…”

Thermodynamic properties of a tetramer Ising-Heisenberg bond-alternating chain as a model system forCu(3−Chloropyridine)2(N3Strečka1, Jaščur2, Hagiwara3 et al. 2005Phys. Rev. BSelf Cite594692View full textAdd to dashboardCite

“…3 in Ref. 30). Unless specifically mentioned, the exchange anisotropy will again be fixed to the purely isotropic case ∆ = 1.0, because the experimental measurements on the single-crystal sample do not reveal any significant spatial dependence: the spatial directions parallel and perpendicular to the chain axis seem to be almost equivalent.…”

“…The primary purpose of this work is to provide a detailed description to the thermodynamic properties of the spin-1/2 F-F-AF-AF BAC by means of a simplified Ising-Heisenberg model suggested in our preliminary report. 30 Due to the simplicity of the proposed Hamiltonian as well as its low-dimensionality, an accurate analytical treatment for the complete set of thermodynamic quantities can be elaborated within an exact mapping transformation technique. 31 To the best of our knowledge, there have been reported only a few rigorous results for the spin-1/2 F-F-AF-AF BAC obtained by applying the exact diagonalization method for a finite-size Heisenberg cluster 25,26,27,28 and any further more comprehensive studies have not been reported in the literature hitherto.…”