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April 22, 2026ChemPhysChem0 citations

Stress Effectively Enhances the Ferromagnetic Stability of Monolayer NiZr

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WCWeifu CenNWNuanxu WangYWYue Wang

Key Points

  • This research aims to investigate how stress influences the ferromagnetic properties of monolayer NiZr.
  • Analyzed the impact of tensile and compressive stress on the magnetic moment of NiZr.
  • Examined changes in the band structure and orbital characteristics under varying stress conditions.
  • Studied the correlation between stress, spin fluctuations, and orbital occupancy.
  • Tensile stress significantly increases the magnetic moment due to enhanced occupancy of specific d orbitals.
  • Variations in orbital coupling under stress lead to stronger σ bonds compared to π bonds.
  • Changes in other orbitals are negligible under compressive stress.

Abstract

Stress is extensively utilized to regulate the electronic structure and associated physical properties of two‐dimensional materials. As a high‐temperature alloy, Monolayer nickel‐zirconium (NiZr) exhibits unstable ferromagnetism in the absence of external stress. Nevertheless, the stability of its ferromagnetic state is significantly enhanced under applied stress, where tensile stress induces an increase in magnetic moment. The effect of stress on the magnetic moment can be attributed to variations in the band structure. Specifically, the band structure of monolayer NiZr, which is characterized by stable ferromagnetism under stress, and exhibits both semiconductor and semi‐metallic characteristics. This variation in band structure originates from spin fluctuations among d and p electrons, which are influenced by the surrounding potential field. In detail, d and p orbitals form nonorthogonal linear combinations such as p z ‐d xx‐yy , p x ‐d zx , and p y ‐d yz . The stress‐induced modulation of magnetic properties is primarily manifested through the response of the d zx and d zy spin orbitals. With an increase in tensile stress, the occupancy of the d zy orbital increases correspondingly, while the spin orientation of other orbitals is reversed, simultaneously. Notably, under tensile strain, the occupancy of the d zx spin orbital increases, whereas that of the d zy spin orbital decreases. In contrast, the changes in other orbitals remain relatively negligible under compressive stress. Consequently, this phenomenon leads to variations in orbital coupling, as well as in distributions within both orbital space and spin charge space. Under stress, the coupling between d and p orbitals results in the formation of σ bonds and π bonds. The interaction between p orbitals and σ bonds is significantly stronger than that between p orbitals and π bonds, and this discrepancy constitutes one of the primary factors driving the stress‐induced changes in the magnetic properties of monolayer NiZr.

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Cite This Study

Cen et al. (2026) studied this question.

synapsesocial.com/papers/69e865126e0dea528dde9b25https://doi.org/10.1002/cphc.202500813
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