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Quantitative characterization of the spin orbit torque using harmonic Hall voltage measurements (1310.4879v1)

Published 18 Oct 2013 in cond-mat.mes-hall and cond-mat.mtrl-sci

Abstract: Solid understanding of current induced torques is key to the development of current and voltage controlled magnetization dynamics in ultrathin magnetic heterostructures. To evaluate the size and direction of such torques, or effective fields, a number of methods have been employed. Here we examine the adiabatic (low frequency) harmonic Hall voltage measurement that has been used to study the effective field. We derive an analytical formula for the harmonic Hall voltages to evaluate the effective field for both out of plane and in-plane magnetized systems. The formula agrees with numerical calculations based on a macrospin model. Two different in-plane magnetized films, Pt|CoFeB|MgO and CuIr|CoFeB|MgO are studied using the formula developed. The effective field obtained for the latter system shows relatively good agreement with that estimated using a spin torque switching phase diagram measurements reported previously. Our results illustrate the versatile applicability of harmonic Hall voltage measurement for studying current induced torques in magnetic heterostructures.

Citations (340)

Summary

  • The paper introduces an analytical framework using harmonic Hall voltage measurements that accurately quantifies the effective magnetic fields from spin orbit torques.
  • It validates the derived formulas through numerical macrospin simulations in Pt|CoFeB|MgO and CuIr|CoFeB|MgO systems.
  • The findings offer actionable insights for optimizing current-induced magnetization switching in the design of efficient spintronic devices.

Overview of "Quantitative Characterization of Spin Orbit Torque Using Harmonic Hall Voltage Measurements"

In this paper, the authors present a systematic analysis of spin orbit torques (SOTs) in ultrathin magnetic heterostructures. The chief method employed is the adiabatic harmonic Hall voltage measurement, a technique that has been demonstrated to reliably evaluate the "effective magnetic field" responsible for exerting torques on magnetic moments. In their investigation, the authors derive an analytical formula for harmonic Hall voltages to assess the effective field in both out-of-plane and in-plane magnetized systems and validate these findings through numerical simulations based on a macrospin model.

Quantitative Characterization of SOTs

The measurement and evaluation of current-induced torques are crucial for the development of efficient spintronic devices. Spin orbit torque emerges predominantly in systems with considerable spin orbit coupling and may manifest through spin current generation via the spin Hall effect or current-induced spin polarization, conveyed through the Rashba-Edelstein effect. These torques can modulate magnetization dynamics, leading to functionalities such as magnetization switching and domain wall motion, outperforming the conventional spin transfer torque in certain configurations.

Analytical and Numerical Approaches

The paper introduces an analytical framework for measuring harmonic Hall voltages—an innovation aimed at addressing discrepancies in characterizing the effective field of in-plane magnetized systems. Using two magnetized systems, Pt|CoFeB|MgO and CuIr|CoFeB|MgO, the authors demonstrate that their analytical solutions align well with numerical macrospin model simulations. This correspondence affirms the reliability of the derived formulas in evaluating the magnitude and direction of current-induced effective fields.

Experimental Validation

Experimental work involves harmonic Hall voltage measurements to estimate the effective field in Pt|CoFeB|MgO and CuIr|CoFeB|MgO systems. The results corroborate predictions from the spin torque switching phase diagram measurements, confirming the utility of harmonic voltage measurements in characterizing spin orbit torques. The study highlights how spin orbit torques can oppose or align with Oersted fields, affecting current-induced magnetization switching dynamics.

Practical and Theoretical Implications

This paper contributes to a deeper understanding of spin orbit torques in advanced magnetic materials, pivotal for future memory and logic devices that leverage spintronic principles. Practically, the concrete methodology outlined for evaluating SOTs is poised to streamline the design and prototyping of spintronic devices. Theoretically, the study reaffirms the significance of accurately modeling angular dependencies and current paths in interpreting the experimental data.

Conclusion

The authors conclude that harmonic Hall voltage measurements present a versatile and reliable tool for the quantitative characterization of spin orbit torques in magnetic heterostructures. These findings pave the way for innovations in spintronic devices by offering actionable methodologies for probing and harnessing current-induced torques. Moreover, the agreement of the experimentally derived results with theoretical models underscores the robustness of the proposed analytical framework.

Given these advancements, ongoing research is likely to explore detailed angular dependencies in greater depth and extend these techniques to a broader range of materials and device structures. These efforts will be critical in refining spintronic technologies and making substantial gains in data storage and processing efficiency.

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