Hyperscaling analysis of a disorder-induced ferromagnetic quantum critical point in Ni$_{1-x}$Rh$_{x}$ with $x = 0.375$

TL;DR

This study performs a hyperscaling analysis on thermodynamic data from Ni$_{1-x}$Rh$_{x}$ with x=0.375, confirming theoretical predictions for disorder-induced ferromagnetic quantum critical points.

Contribution

It provides experimental validation of the Belitz-Kirkpatrick-Vojta theory for disorder-tuned quantum criticality in a specific alloy system.

Findings

Critical exponents match theoretical predictions

Supports the disorder-driven quantum critical point scenario

Validates hyperscaling relations in the preasymptotic region

Abstract

Here we report on hyperscaling analysis on thermodynamic measurements as a function of temperature and magnetic field for Ni$_{1-x}$Rh$_{x}$ with $x = 0.375$ where a ferromagnetic quantum critical point has been recently identified [Phys. Rev. Lett. $\textbf{124}$, 117203 (2020)]. The obtained critical exponents agree well with the theory proposed by Belitz, Kirkpatrick, and Vojta for disorder tuned quantum critical point in the preasymptotic region.