EFFECTIVE FIELD THEORY IDENTITY FOR THE STUDY OF FIRST ORDER PHASE TRANSITIONS IN SEMI-CLASSIC SPINS MODELS
Semi-classical spin systems; First-order phase transitions; Effective-Field Theory; Borophene; Spin-Crossover.
With the aim of studying first-order phase transitions of semi-classical spin models, in this work, an identity based on the Effective Field Theory (EFT) from the differential operator technique is proposed. By means of the Maxwell construction for the free energy of thermodynamic systems, the Effective Field Theory Identity (EFTI) can be used for calculating points in phase diagrams in which two distinct states present the same free energy value. First, the EFTI is applied to a generalization of the Blume-Capel model in order to present its effectiveness and make the procedures clearer. Following these calculations, the EFTI will be applied to two technological material structures that present first-order phase transitions. For a spin-3/2 Borophene structure, phase diagrams are obtained by means of the EFT and of the Mean-Field Theory (MFT), with the EFTI being used in the calculations of first-order phase transition lines in the EFT context. Finally, the EFTI is applied to a spin-1/2 system that presents first-order
phase transitions within the phenomenon known as "spin-crossover". The outcomes for this system are compared to some results present in the literature.