Critical exponents and the correlation length in the charge exchange manganite spin glass Eu_{0.5}Ba_{0.5}MnO_{3}

TL;DR

This paper investigates the critical behavior of the charge exchange manganite spin glass Eu_{0.5}Ba_{0.5}MnO_{3} using susceptibility measurements, revealing critical exponents consistent with the 3D Ising universality class and estimating the spin correlation length.

Contribution

It provides experimental determination of critical exponents and correlation lengths in Eu_{0.5}Ba_{0.5}MnO_{3}, linking its behavior to the 3D Ising model.

Findings

Divergence of third-order susceptibility indicates a freezing transition.

Critical exponents match the 3D Ising universality class.

Spin correlation length exceeds charge/orbital correlation length.

Abstract

The critical regime of the charge exchange (CE) manganite spin glass Eu_{0.5}Ba_{0.5}MnO_{3} is investigated using linear and non linear magnetic susceptibility and the divergence of the third ordered susceptibility (chi{_3}) signifying the onset of a conventional freezing transition is experimentally demonstrated. The divergence in chi{_3}, dynamical scaling of the linear susceptibility and relevant scaling equations are used to determine the critical exponents associated with this freezing transition, the values of which match well with the 3D Ising universality class. Magnetic field dependence of the spin glass response function is used to estimate the spin correlation length which is seen to be larger than the charge/orbital correlation length reported in this system.