Scaling behavior of Charge order melting in Magnetic field-Pressure-Temperature space of 2.5% Al doped Pr$_{0.5}$Ca$_{0.5}$MnO$_3$

TL;DR

This study investigates how charge order melting in a doped manganite responds to combined magnetic field and pressure, revealing a novel scaling law that describes the transition behavior in a multidimensional space.

Contribution

First experimental demonstration of a scaling function governing charge order melting under combined pressure and magnetic field in a manganite.

Findings

Charge order melting obeys a specific scaling function in H-P-T space.

Scaling exponents are determined as α=1.63 and β=0.33.

The results suggest a universal behavior in charge order suppression mechanisms.

Abstract

Dc magnetic measurements across the charge ordering (CO) transition temperature (T$_{CO}$) in polycrystalline Pr$_{0.5}$Ca$_{0.5}$Mn$_{0.975}$Al$_{0.025}$O$_3$ have been performed under simultaneous influence of external hydrostatic pressure (P) and magnetic field (H). We show the first experimental evidence that the melting of charge order instability obey an interesting scaling function, $\delta$T$_{CO}$/P$^\alpha$ = $f$(H/P$^\beta$) in H-P-T landscape, where $\delta$T$_{CO}$ is the suppression of T$_{CO}$ by P and H. Corresponding values of the exponents, $\alpha$ = 1.63 and $\beta$ = 0.33 have been extracted from data collapsing phenomena. Possible origin of such a scaling behavior has been discussed.