Layer number dependent magnetic transitions in two-dimensional A -type antiferromagnets

Two-dimensional (2D) A-type antiferromagnets, characterized by intralayer ferromagnetic and interlayer antiferromagnetic couplings, exhibit significant tunability in their spin configurations, along with exotic electronic and optical responses. With the recent discovery of various 2D $A$-type antiferromagnets such as ${\mathrm{CrI}}₃$ and ${\mathrm{MnBi}}₂{\mathrm{Ti}}₄$, the diversity in their magnetic parameters---including interlayer coupling strengths and anisotropies---has made their magnetic transitions complex and challenging to fully comprehend. In this work, we employ a linear chain model to systematically investigate the magnetic transitions in 2D $A$-type antiferromagnets. Through numerical simulations, we explore the layer number dependence of spin-flip and spin-flop transitions with different magnetic parameters, under varying magnetic field orientations. Additionally, we derive analytical expressions to describe the layer number dependence of these transitions. Our findings enhance the understanding of magnetic transitions in 2D antiferromagnets by revealing how spin-flip and spin-flop transitions are influenced by layer numbers. Furthermore, our approach provides an effective method to determine crucial parameters, such as interlayer coupling strengths and anisotropic properties, based on experimental observations.