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The quantum spin-1/2 orthogonal-dimer chain with the Heisenberg intra-dimerand Ising inter-dimer interactions in a magnetic field is considered by arigorous approach. The model conserves the z-component of total spin onvertical Heisenberg bonds and this property is used to calculate exactly thepartition function using the transfer-matrix method. We have found theground-state phase diagram of the given model in a magnetic field as well asthe macroscopic degeneracy along field-induced transitions accompanied with themagnetization jumps. The model exhibits two intermediate fractional plateaux atone-quarter and one-half of the saturation magnetization. We have examined theeffect of the exchange anisotropy in the XXZ Heisenberg intra-dimer interactionon the ground state. It is shown that the one-quarter and one-half plateaux maydisappear from the magnetization curve for the ferromagnetic Heisenbergintra-dimer interaction. We have also rigorously studied the effect offrustrated interactions on the thermodynamic and magnetic properties of themodel and show how the macroscopic degeneracy of the ground state is reflectedin the low-temperature behavior of the magnetization, entropy and specificheat. A possibility of observing enhanced magnetocaloric effect during theadiabatic demagnetization is discussed in detail.

Exact solution for quantum spin-1/2 Ising-Heisenberg orthogonal-dimer chain with the Heisenberg intra-dimer and Ising inter-dimer interactions