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Theory of Spin Transfer Torque


The working of countless electronic devices involves electric and magnetic effects interacting within nanostructured materials. In the phenomenon known as spin transfer torque, a current can give a jolt to thin magnetic layers sandwiched between nonmagnetic materials. The effect may make possible a novel kind of magnetic memory as well as other electronic devices. Harnessing the useful potential of spin transfer torques requires both quantitative measurements of their effects and a refined theoretical understanding of these measurements, the goal of this project.


A ferromagnetic material such as iron takes on permanent magnetization when the magnetic properties of its atoms all line up in the same way. Because individual electrons also have an intrinsic magnetic alignment, defined by their so-called spin direction, they can interact with ferromagnets in some unusual ways. For example, an electric current flows more easily through a ferromagnet if electron spins line up with, rather than opposite to, the magnetization.

The device that reads data from a hard disk makes use of this effect. In the read-head are two ferromagnetic layers separated by a nonmagnetic spacer. Data bits encoded magnetically in the surface of a hard disk realign the magnetization of the head's outermost layer, producing a measurable change in electrical resistance. 

However, there's also an effect by which the current doesn't merely respond to the magnetization of the layer but actually disturbs it. When an electron with misaligned spin passes into a magnetized material, the mismatch gives rise to a small twisting force -- a torque -- between the electron and the magnet. A large current can in principle generate a force big enough to shift the magnetization direction of the material it is passing through. In current hard disk read-head designs, this "spin transfer torque" is below the magnitude at which it could disrupt the reading of data, but as designs evolve it's likely to become more of a problem. A more interesting aspect of influencing the magnetization by flowing a current through it is using it to control the magnetization in magnetoelectronic devices.

A blossoming technology known as magnetic random access memory (MRAM) records data bits by making the magnetization of tiny ferromagnetic layers either the same or opposite to that of an adjacent, permanently magnetized base. A small current passing through the layers reads data by indicating high or low resistance, but a much larger current can exert a spin transfer torque sufficient to flip the upper layer's magnetization. In that case, the applied current provides a means of writing and rewriting MRAM data.

In another possible application, theory shows that in certain situations the spin transfer torque can cause the magnetization of a ferromagnetic layer to spin around, or precess, at a frequency controlled by the current. This technique could make possible gigahertz oscillators with a wide range of electronic uses.

Our theoretical investigation of spin transfer torques breaks down the intricate phenomenon into a series of steps. The first step is to use quantum physics to understand how a single electron interacts with a magnetized material. This information then feeds into models that describe the action of a current consisting of many electrons with different alignments. The final ingredient is to include the response of the magnetization to the influence of changing currents. The theoretical picture built up in this way can help engineers design novel devices and work out solutions to problems before entering into large-scale production.
Recent excitement in the field is due to the discovery that spin-orbit coupling, the coupling between electrons’ spins and their motion, provides new mechanisms for switching the magnetization. These effects raise the possibility of three terminal devices in addition to the two-terminal devices typically designed using spin-transfer torques. Researchers within the CNST and in other NIST laboratories are developing methods to accurately quantify spin transfer torques. The goal of our studies of spin transfer torque is to advance theory to the point that it can reliably interpret these measurements, and enable rigorous and reliable predictions of how specific systems will perform in a range of possible device applications. 

Selected Publications
  • Current induced torques and interfacial spin-orbit coupling: semiclassical modeling, P. M. Haney, H.-W. Lee, K.-J. Lee, A. Manchon, and M. D. Stiles, Physical Review B 87, 174411 (2013).
    NIST Publication Database        Journal Web Site
  • Spin transfer torques, D. C. Ralph and M. D. Stiles, Journal of Magnetism and Magnetic Materials 320, 1190-1216 (2008).
    NIST Publication Database          Journal Web Site
  • Spin-transfer torque and dynamics, M. Stiles and J. Miltat, in Spin Dynamics in Confined Magnetic Structures III (Springer Berlin/Heidelberg, 2006), p. 225-308.
    NIST Publication Database          Journal Web Site
Schematic showing the behavior of a spin scattering from an interface with a ferromagnet in a simple limit of ideal spin-dependent transmission and reflection.

Lead Organizational Unit:



Korea University
Kyung Jin Lee
Jung-Hwan Moon
Seo-Won Lee
Pohang University of Science and Technology  
Hyun-Woo Lee
Aurelien Manchon
Tomohiro Taniguchi
Julie Grollier

Facilities/Tools Used:

Raritan Beowulf Cluster


Mark D. Stiles - NIST
Paul M. Haney - NIST
Guru Khalsa - NIST
Kyoung-Whan Kim - NIST/UMD
Vivek Amin - NIST/UMD


Mark D. Stiles, Phone 301-975-3745

100 Bureau Dr., MS 6202
Gaithersburg, MD 20899-6202