Strain-tunable magnetic anisotropy in monolayer CrCl$_3$, CrBr$_3$, and CrI$_3$

TL;DR

This study uses density functional theory to explore how biaxial strain affects magnetic anisotropy energy in monolayer chromium trihalides, revealing strain-dependent magnetic phase transitions and tunable anisotropy.

Contribution

It provides the first detailed analysis of strain effects on MAE and magnetic phase stability in CrCl3, CrBr3, and CrI3 monolayers, highlighting their potential for strain-engineered spintronic applications.

Findings

All three compounds are ferromagnetic at zero strain.

Compressive strain induces a transition to antiferromagnetic order.

MAE can be significantly increased in CrI3 with compressive strain.

Abstract

Recent observation of intrinsic ferromagnetism in two-dimensional (2D) CrI$_3$ is associated with the large magnetic anisotropy due to strong spin-orbit coupling (SOC) of I. Magnetic anisotropy energy (MAE) defines the stability of magnetization in a specific direction with respect to the crystal lattice and is an important parameter for nanoscale applications. In this work we apply the density functional theory to study the strain dependence of MAE in 2D monolayer chromium trihalides CrX$_3$ (with X = Cl, Br, and I). Detailed calculations of their energetics, atomic structures and electronic structures under the influence of a biaxial strain $\varepsilon$ have been carried out. It is found that all three compounds exhibit ferromagnetic ordering at the ground state (with $\varepsilon$=0) and upon applying a compressive strain, phase transition to antiferromagnetic state occurs. Unlike in CrCl$_3$ and CrBr$_3$, the electronic band gap in CrI$_3$ increases when a tensile strain is applied. The MAE also exhibits a strain dependence in the chromium trihalides: it increases when a compressive strain is applied in CrI$_3$, while an opposite trend is observed in the other two compounds. In particular, the MAE of CrI$_3$ can be increased by 47\% with a compressive strain of $\varepsilon$ = 5\%.