Lagrangian and Slonczewski-like torque

In summary, Lagrangian torque and Slonczewski-like torque are two types of torques used in spintronics, with different origins and mechanisms. They are essential in developing spintronic devices such as MRAM and STOs. Both torques can be controlled and manipulated, but efficient and reliable manipulation remains a challenge. Ongoing research is focused on improving their efficiency, exploring new applications, and understanding their fundamental mechanisms.
  • #1
Ark236
22
3
To include slonczewski-like torque in the Lagrangian there enter as dissipation by Rayleig function?

ST= σ m x (m x mp)
where m is the magnetization in free layer and mp current direction in the pinned layer (-z).
The Rayleig function is:
RF=(dm/dt+σ m x mp)2

Then

L= ∫ (RF+E)dx

Thanks
 
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  • #2
for the question! The Lagrangian including the Slonczewski-like torque would be:L= ∫ (RF+E+ST)dx where ST is the Slonczewski-like torque term.
 

Related to Lagrangian and Slonczewski-like torque

1. What is Lagrangian torque and how does it differ from Slonczewski-like torque?

Lagrangian torque refers to the torque generated by a magnetic field on a magnetization vector in a material. It is based on the Lagrangian formalism in classical mechanics. On the other hand, Slonczewski-like torque is a type of spin transfer torque that arises from the spin-polarized current passing through a magnetic material. While both torques involve the manipulation of magnetic moments, they have different origins and mechanisms.

2. What are the applications of Lagrangian and Slonczewski-like torque?

The use of these torques is essential in the field of spintronics, which aims to develop devices that use the spin of electrons in addition to their charge. Examples of spintronic devices that utilize these torques include magnetic random access memory (MRAM) and spin torque oscillators (STOs) used in microwave devices.

3. Can these torques be controlled or manipulated?

Yes, both Lagrangian and Slonczewski-like torques can be controlled and manipulated. This is achieved by applying an external magnetic field, electric current, or using spin-polarized materials, which can alter the direction and magnitude of the torque.

4. Are there any challenges associated with the use of these torques?

One of the main challenges is achieving efficient and reliable manipulation and control of the torques. This requires a thorough understanding of the underlying physics and careful design of the materials and structures used in spintronic devices.

5. What are some ongoing research areas related to Lagrangian and Slonczewski-like torque?

Current research is focused on exploring new materials and structures that can enhance the efficiency of these torques, as well as investigating their potential use in new applications such as neuromorphic computing and quantum computing. There is also ongoing research to better understand the fundamental mechanisms behind these torques and to develop more accurate theoretical models for their behavior.

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