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中国物理学会期刊

尺寸依赖的电压调控磁斯格明子研究

Size-dependent research on skyrmions via voltage-controlled magnetic anisotropy (VCMA)

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  • 磁斯格明子凭借其小尺寸、低驱动电流及高拓扑稳定性,在非易失性存储与逻辑运算领域展现出广阔应用前景。电压控制磁各向异性(VCMA)效应是实现低功耗操纵斯格明子的有效手段,但现有研究多局限于对隧道结自由层的全局调控。本文系统研究了隧道结中不同电极直径尺寸的VCMA调控对斯格明子生成和湮灭行为的影响。研究发现,随电极尺寸减小,诱导形成斯格明子的电压升高,垂直磁各向异性常数(Ku)的调控窗口相应拓宽。在相同VCMA调控下,大、小尺寸诱导形成的斯格明子极性反转。这是由于在不同尺寸电压调控过程中,交换能Eex与DMI能Edmi之间的能量竞争导致系统形成了不同的磁结构。本文基于斯格明子的尺寸依赖特性构建了一种具有高稳定性、高集成度及超低功耗的神经形态计算系统。

     

    Objective: Magnetic skyrmions in synthetic antiferromagnetic (SAF) systems have emerged as highly promising information carriers for next-generation non-volatile memory and neuromorphic computing paradigms, owing to their nanoscale dimensions, suppression of the skyrmion Hall effect (SkHE), and high topological stability. While voltage-controlled magnetic anisotropy (VCMA) offers an ultralow-power approach for skyrmion manipulation, existing research predominantly focuses on the global VCMA modulation of the free layer. The dynamic evolution of skyrmions driven by localized, size-dependent VCMA effects remains largely unexplored. To address this gap, this study systematically investigates the dynamic evolution—specifically the generation and annihilation mechanisms—of skyrmions under localized, size-dependent VCMA modulation, and subsequently proposes a highly efficient neuromorphic computing architecture.
    Methods: Micromagnetic simulations were rigorously conducted using the OOMMF framework on a cylindrical SAF magnetic tunnel junction (MTJ) model. The free layer features a Top FM/NM/Bottom FM structure (e.g., CoFeB/Ru/CoFeB) with a fixed diameter of 100 nm, whereas the top electrode diameter (D) is adjustable from 50 nm to 100 nm. By applying vertical bias voltages, localized electric fields induce VCMA effects at the MgO/Top FM interface, dynamically lowering or raising the local perpendicular magnetic anisotropy constant (Ku) to precisely drive skyrmion generation and annihilation.
    Results: The simulation results reveal a profound size-dependent effect during localized VCMA modulation. As the electrode diameter (D) decreases, the threshold voltage required to induce skyrmions increases, correspondingly broadening the effective Ku modulation window. Remarkably, under identical VCMA driving conditions, a deterministic polarity reversal of the generated skyrmions is observed. Specifically, skyrmions generated under smaller electrodes (D≤82 nm) exhibit a downward polarity, whereas those under larger electrodes (D≥90 nm) exhibit an upward polarity. Comprehensive energy analyses indicate that this bifurcation fundamentally stems from the energetic competition between the exchange energy (Eex) and the Dzyaloshinskii-Moriya interaction (DMI) energy (Edmi) during the intermediate nucleation phase. For larger sizes, the system minimizes Eex, leading to an edge-canted magnetic state; conversely, for smaller sizes, the system maintains a low Edmi, preserving the initial vertical edge spins. As Edmi further decreases, these distinct intermediate states deterministically induce skyrmions of opposite polarities.
    Leveraging these unique size-dependent physical characteristics, we construct a hierarchical, VCMA-controlled skyrmion neuromorphic computing system. In this architecture, D=80 nm MTJ devices are configured as a 4×4 crossbar array to provide highly stable, non-volatile binary synaptic weight storage. Concurrently, D=90 nm devices utilize a distinct four-state cyclic magnetic switching mechanism to intrinsically emulate biological leaky integrate-and-fire (LIF) neurons. This design accurately replicates resting, integration, firing, and essential refractory periods at the device level, effectively eliminating the need for complex external CMOS circuitry. Algorithm-level validation using a spiking neural network (SNN) on the MNIST dataset achieved a robust classification accuracy of approximately 92%.
    Conclusions: This paper systematically investigates the impact of localized voltage-controlled magnetic anisotropy (VCMA) modulation on the generation and annihilation of skyrmions in synthetic antiferromagnetic (SAF) magnetic tunnel junctions. Our results indicate that as the electrode size decreases, the threshold voltage required for skyrmion generation increases, accompanied by an expanded modulation range of the magnetic anisotropy (Ku). Additionally, we reveal a size-dependent skyrmion polarity reversal phenomenon driven by energy competition. Practically, small-size modulation facilitates the generation of skyrmions for constructing binary memory cells, whereas large-size modulation enables controllable multi-state cyclic switching to realize artificial neuron functions. Leveraging these size-dependent characteristics, we propose a neuromorphic computing system featuring high stability, high integration density, and ultra-low power consumption.

     

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