Holographic antiferromganetic quantum criticality and AdS$_2$ scaling limit

TL;DR

This paper explores the holographic model of antiferromagnetic quantum phase transitions, revealing that the critical behavior is governed by an emergent AdS$_2$ geometry, with results consistent with experimental data and theoretical models.

Contribution

It demonstrates that the quantum criticality in the holographic model is controlled by a CFT with emergent AdS$_2$ geometry, confirming strong coupling behavior with logarithmic corrections.

Findings

Critical behavior governed by AdS$_2$ in IR region

Logarithmic corrections to the scaling appear

Results align with experimental data from pyrochlores and BiCoPO$_5$

Abstract

A holographic description on antiferromagnetic quantum phase transition (QPT) induced by magnetic field and the criticality in the vicinity of quantum critical point (QCP) have been investigated numerically recently. In this paper, we show that the properties of QPT in this holographic model are governed by a CFT dual to the emergent AdS$_2$ in the IR region, which confirms that the dual boundary theory is a strong coupling theory with dynamic exponent $z=2$ and logarithmic corrections appear. We also compare them with the results from Hertz model by solving RG equation at its upper critical dimension and with some experimental data from pyrochlores Er$_{2-2x}$Y$_{2x}$Ti$_2$O$_7$ and BiCoPO$_5$.