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In the present paper, we consider two species of small spin clusters knownas; two spin-1/2 Heisenberg edge-shared tetrahedra and spin-1/2 Heisenbergoctahedron with the corresponding Dzyaloshinskii-Moriya terms in a longitudinalmagnetic field, then we examine magnetization process and electric polarizationof the models as functions of magnetic and electric fields at Low temperatureusing exact numerical diagonalization. Our exact results are in a goodagreement with recent analysis carried out by J. Stre\v{c}ka and K. Kar{\vl}ova \cite{str18b,str17a}. It is demonstrated that the polarization behaviorcoincides the magnetization curves (including sequential intermediateplateaus), also it reflects the respective stepwise changes of ground-statephase transitions. We find that the polarization has significant effects on themagnetic field dependencies of the magnetization. Furthermore, we investigateother isothermal strategies such as cooling rate, magnetocaloric effect (MCE),as well as, electrocaloric effect(ECE) for both models. Since, newelectrocaloric materials with high performance is of great interest andimportance in condensed matter physics, here, we report on the ECE of the bothaforedescribed spin-1/2 Heisenberg small clusters. We conclude that twospin-1/2 Heisenberg edge-shared tetrahedra is a material with significantreversible temperature change capability under an external electric fieldcompared with the spin-1/2 Heisenberg octahedron, and can be used forcooling/heating process.

journal of physics condensed matter

Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared  tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya  interaction