On the Remarkable Thermodynamic Properties of the Helical Multiferroic Quantum Spin Chain

The flexibility of magnetoelectric coupling in RMnO3 is enhanced by the sensitivity of such materials to diverse interactions. This complicates the straightforward comprehension of its various physicochemical properties, such as magnetoelectric properties. The present study measures the impact of the simultaneous action of Dzyaloshinsky-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions on the thermodynamic ability to induce phase transition in a rare-earth (R) Mn perovskite of TbMnO3 (TMO) helical compound at thermal equilibrium using entropy, heat capacity, and magnetoelectric (ME) coupling factor. We found that the behaviour of entropy is similar to that of the ME coupling factor, which emphasizes the metamagnetoelectric properties for ferric transition points of this order. The intrinsic physics of transition points, which is accurately described in terms of entropy, reveals a muddle caused by a rearrangement of magnetic moments. The magnetic rearrangement at the corresponding critical points of entropy shows a different loop than the heat capacity. Under the influence of the DM interaction, the KSEA interaction accelerates the decrease of specific heat and entropy as the ME coupling increases. However, the KSEA interaction reduces transition dynamics and opposes symmetrical inversion caused by DM interaction. The observed thermodynamic capacity changes caused by the simultaneous action of DM and KSEA interactions are the signature of a system attempting to minimize the possible distortions that are primarily responsible for the loss of quantum property.