# Heisenberg-Kitaev physics in magnetic fields

## TL;DR

This paper reviews recent theoretical and experimental progress on the magnetic field responses of Kitaev-like models in strongly spin-orbit coupled insulators, highlighting complex phases and magnetization behaviors.

## Contribution

It synthesizes recent advances in understanding field-induced phenomena in Kitaev materials, connecting theoretical models with experimental findings.

## Key findings

- Identification of field-induced phases in Kitaev models
- Comparison of theoretical predictions with experiments on $ ext{RuCl}_3$ and $ ext{Na}_2 ext{IrO}_3$
- Insights into complex magnetization processes in frustrated spin systems

## Abstract

Magnetic insulators in the regime of strong spin-orbit coupling exhibit intriguing behaviors in external magnetic fields, reflecting the frustrated nature of their effective interactions. We review the recent advances in understanding the field responses of materials that are described by models with strongly bond-dependent spin exchange interactions, such as Kitaev's celebrated honeycomb model and its extensions. We discuss the field-induced phases and the complex magnetization processes found in these theories and compare with experimental results in the layered Mott insulators $\alpha$-RuCl$_3$ and Na$_2$IrO$_3$, which are believed to realize this fascinating physics.