Abstract
The magnetic phase transitions from paramagnetic to magnetic phases have studied in RMn2O5 oxides. Using a symmetry analysis and renormalization group method it was shown that an appearance of the electric polarization or lack whereof in the magnetic phases are determined the symmetry of these phases and spin fluctuations in the vicinity of the phase transitions.
Highlights
The compounds were investigated intensively in the last twenty years in which the orderings of the different nature coexist
Let us note that chemiсal bondings have the ioncovalent character with a significant shear charge of the electrons, which delocalize between the ions. These electrons give the essential contribution to the electric polarization
The situation is never simple if the phase transition occurs from the paramagnetic phase (PMP) to the commensurable structure
Summary
M is an arbitrary integer. eigenvalues and two different positive real eigenvalues. In this case, the polarization depends slowly from the coordinates and is the small value in vicinity of the phase transition. The decrease of the temperature results in the creation of the higher harmonics In this case, we derive the nonlinear differential equations for the phases. This behavior of the system allows one to conclude that this fixed point is a stable critical point In this point where is the second order phase transition. The spin fluctuations do not happen to the disappearing of the macroscopic order parameter in the form of the electric polarization in this case. Hamiltonian of the system, which allows one to analyze the critical behavior of the PrMn2O5 oxide in the immediate vicinity of the transition from the paramagnetic to the antiferromagnetic phase, is given by
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