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Spin Hall magnetoresistance

Spin Hall magnetoresistance is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Spin Hall magnetoresistance rather than just read about it. In short: Spin Hall magnetoresistance (SMR) is a transport phenomenon that is found in some electrical conductors that have at least one surface in direct contact with another magnetic material due to changes in the spin current that are present in metals and semiconductors with a large spin Hall angle. It is most easily detected when the magnetic material is an insulator which eliminates other magnetically sensitive transpor…

Key takeaways

  • Spin Hall magnetoresistance belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Spin Hall magnetoresistance to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Spin Hall magnetoresistance from memory before moving on to harder problems.

Reference excerpt

Spin Hall magnetoresistance (SMR) is a transport phenomenon that is found in some electrical conductors that have at least one surface in direct contact with another magnetic material due to changes in the spin current that are present in metals and semiconductors with a large spin Hall angle. It is most easily detected when the magnetic material is an insulator which eliminates other magnetically sensitive transport effects arising from conduction in the magnetic material.

Origins Spin Hall magnetoresistance is one of many ways in which the electrical resistance of a material is influenced by the spin Hall effect. An electron moving through a conductor is scattered by the spin Hall effect in a direction determined by its spin orientation which induces a net accumulation of spin at the conductor's edge. The spin-polarized electrons at the conductor's surface can interact with the magnetization of a magnetic material near through a spin-transfer torque. When the conduction electron spin is aligned parallel to the magnetization direction the electron reflects from the conductor surface with no change in its spin, however, when there is a component of the magnetization that is normal to the spin orientation, the spin can be flipped to its opposite state transferring angular momentum into the magnetic material. This results in a spin current that travels at a normal to the direction of the charge current that can be altered by changing the direction of magnetization. This spin current is deflected through the inverse spin Hall effect which adds or subtracts from the electrons momentum in the direction of the charge current depending on the size and sign of the conductor spin Hall angle. This deflection provides an addition to the conductor's resistivity allowing the spin current to be estimated by the change in the electrical resistivity.

Description A multilayer of conductor and magnetic material is needed to construct a device that exhibits the spin Hall magnetoresistance. Platinum is commonly used as a conductor due to its large spin Hall angle and YIG is used as a magnetic material with the conductor being deposited on top with a clean interface. The magnetization of the YIG can be rotated by an applied magnetic field strong enough to saturate it which results in a change in the conductor's resistivity. The scale of the resistance change observed depends on the conductor's spin Hall angle and the ratio of the spin diffusion length and the thickness of the conducting material. As most spin diffusion lengths are short, the effect is only significant in materials that are only several nanometers thick.

Angular dependency One of the signatures of the spin Hall magnetoresistance is that the change in resistance is observed when the magnetization of the insulator is rotated with respect to the spin axis and not to the direction of the charge current as is seen in anisotropic magnetoresistance. The change in resistivity follows a squared sine wave pattern when the magnetization vector is rotated about an axis that has a component normal to the spin axis. Platinum has been observed to have maximum resistivity changes of up to 0.12%.

Temperature dependence In platinum, the maximum resistance change is found to reach a maximum at approximately 120K for all thicknesses

Applications Due to the spin-transfer torque at the interface of the conductor and magnet, a spin current can be injected from the metal into the insulator. This allows for new spintronics experiments to investigate the possibility of transmitting spin information through an insulator which would have the advantage of no power loss due to Joule heating.

References

Worked examples

Example 1 — a first encounter with Spin Hall magnetoresistance

Start with the simplest possible case. Write down what Spin Hall magnetoresistance claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Spin Hall magnetoresistance before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Spin Hall magnetoresistance ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Spin Hall magnetoresistance

In research
Spin Hall magnetoresistance appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Spin Hall magnetoresistance in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Spin Hall magnetoresistance is common in secondary-school and first-year university syllabi. It links to neighbouring topics Magnetoresistance, Spintronics, so understanding it makes those chapters shorter.
In everyday life
Look for Spin Hall magnetoresistance outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Spin Hall magnetoresistance in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Spin Hall magnetoresistance means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Spin Hall magnetoresistance out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Spin Hall magnetoresistance in simple terms?

Spin Hall magnetoresistance (SMR) is a transport phenomenon that is found in some electrical conductors that have at least one surface in direct contact with another magnetic material due to changes in the spin current that are present in metals and semiconductors with a large spin Hall angle. It i…

Why does Spin Hall magnetoresistance matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Spin Hall magnetoresistance?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Spin Hall magnetoresistance.

Tags

  • Magnetoresistance
  • Spintronics

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