Quantum critical behavior of a magnetic quantum paraelectric

TL;DR

This paper investigates the quantum critical behavior in a magnetic quantum paraelectric, focusing on the interplay between anti-ferromagnetic order and polarization fluctuations, and derives equations to analyze susceptibility under various conditions.

Contribution

It introduces a theoretical framework coupling anti-ferromagnetic order with polarization fluctuations to study quantum criticality in magnetic quantum paraelectrics.

Findings

Dielectric susceptibility exhibits specific temperature dependence near quantum critical points.

Scaling arguments describe behavior near both anti-ferromagnetic and ferroelectric quantum critical points.

Experimental pathways to achieve various quantum critical points are discussed.

Abstract

We discuss the interplay between anti-ferromagnetic order and polarization fluctuations in a magnetic quantum paraelectric. Using an action where anti-ferromagnetic order parameter couples to the polarization fluctuations and as well as magnetic field, we derive a set of self consistent equations to study both the temperature and the magnetic field dependence of the static dielectric susceptibility. The temperature dependence of dielectric susceptibility near both the anti-ferromagnetic quantum critical point and ferroelectric quantum critical point are described using scaling arguments. Discussions on achieving various quantum critical points in experiments are also made.