Holographic model for antiferromagnetic quantum phase transition induced by magnetic field

TL;DR

This paper develops a holographic model to describe antiferromagnetic quantum phase transitions driven by magnetic fields, revealing unique critical behaviors and scaling laws that can be tested experimentally.

Contribution

It introduces a gravity dual for antiferromagnetic QPTs induced by magnetic fields, highlighting novel critical exponents and scaling relations near the quantum critical point.

Findings

Critical theory has dynamic exponent z=2.

Hyperscaling law is violated with logarithmic corrections.

Predicted scaling relations can be tested with experimental data.

Abstract

We propose a gravity dual of antiferromagnetic quantum phase transition (QPT) induced by magnetic field and study the critical behavior around the quantum critical point (QCP). It turns out that the boundary critical theory is a strong coupling theory with dynamic exponent $z=2$ and that the hyperscaling law is violated and logarithmic corrections appear near the QCP. Some novel scaling relations are predicated, which can be tested by experiment data in future. We also make some comparison with experimental data on low-dimensional magnets BiCoPO$_5$ and pyrochlores Er$_{2-2x}$Y$_{2x}$Ti$_2$O$_7$.