Universal Scaling Relations in Strongly Anisotropic Materials

TL;DR

This paper establishes universal scaling relations linking interplane coupling constants to susceptibilities in strongly anisotropic antiferromagnetic materials, providing a method to determine coupling from experimental data and extending the relations near quantum critical points.

Contribution

It introduces generalized universal scaling relations for anisotropic materials, applicable near quantum critical points and for various susceptibilities, expanding previous numerical findings.

Findings

Universal relation between interplane coupling and susceptibility.

Predicted a generalized scaling function near quantum critical points.

Validated the relations for broader phase transitions.

Abstract

We consider the critical temperature in strongly anisotropic antiferromagnetic materials, with weak coupling between stacked planes, in order to determine the interplane coupling constant from experimentally measured susceptibilities. We present theoretical arguments for a universal relation between interplane coupling and susceptibility shown numerically by Yasuda et. al., Phys. Rev. Lett. \textbf{94}, 217201 (2005). We predict a more general scaling function if the system is close to a quantum critical point, a similar relation for other susceptibilities than considered in Yasuda et. al., and the validity of these relations for more general phase transitions.