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Unraveling the Mysteries of Multi-Weyl Semimetals

Discover how strain affects the unique properties of multi-Weyl semimetals.

Varsha Subramanyan, Shi-Zeng Lin, Avadh Saxena

― 4 min read


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Multi-Weyl Semimetals are a type of three-dimensional material characterized by unique electronic properties. They have special points called Weyl Nodes, which are places where the energy bands of electrons cross each other. These Weyl nodes are important because they allow electrons to move freely, creating interesting effects in electricity and magnetism.

Weyl semimetals can have different "winding numbers," which is a fancy way of saying they can have different Topological Properties. In simple terms, the winding number tells us how many times the electron behavior wraps around a certain point in space. Some materials, called multi-Weyl semimetals, have higher winding numbers, which gives them even more complex behaviors.

The Impact of Strain on Multi-Weyl Semimetals

Strain is a bit like when you stretch or squish a rubber band. When this happens to multi-Weyl semimetals, it can change their electronic properties significantly. The study of how these materials react under strain helps scientists understand their behavior better and could lead to new technologies.

When strain is applied to a multi-Weyl semimetal, the Weyl nodes can move and split apart. This creates what is called an anisotropic Fermi Surface, which means the surface that represents the energy of electrons is no longer identical in all directions. Think of it like a balloon that gets taller when you inflate it but also gets narrower at the sides.

Strain as a Director Field

Interestingly, in multi-Weyl semimetals, strain behaves differently compared to simpler materials. Instead of acting like a regular force, it can act like a director field. This means that strain doesn't just push or pull on the material but actually changes how the electrons move and interact with each other.

This effect of strain can lead to the formation of nematic order, which is a particular way the electrons arrange themselves in response to strain. It’s kind of like how kids might sit in a circle during story time, but when you add some fun music, they might form a line to dance instead.

The Geometry of the Fermi Surface

The geometry of the Fermi surface plays a big role in how multi-Weyl semimetals function. When strain alters the arrangement of the Weyl nodes, it can lead to unique features in how electrons conduct electricity. This is crucial for applications in electronics and materials science, as it can change the material's conductive properties in interesting ways.

For example, by applying strain, you may change how well electricity flows through a material or how it responds to magnetic fields. These changes can make it possible to design new kinds of electronic devices that are faster or more efficient.

Topological Properties and Transport Signatures

Topological properties are like the special fingerprints of materials that define how they behave, regardless of how they look. These properties are preserved even when the material is stretched or squished. For multi-Weyl semimetals, the topological characteristics remain largely unchanged under strain, which surprises researchers.

However, while the general topology stays the same, the transport signatures—the way electricity moves through the material—can change. This means that while the material's fundamental nature is stable, the way it interacts with electricity can be tuned and adjusted.

Real-World Applications

One of the exciting aspects of multi-Weyl semimetals is their potential applications. Researchers are looking at how these materials can be used in advanced electronics, such as faster computer processors or improved sensors. The modifications induced by strain can lead to new methods for controlling electron behavior, making them quite valuable in modern technology.

For instance, if scientists can effectively use strain to control the Fermi surface in multi-Weyl semimetals, they may discover materials that can conduct electricity with much less energy loss. This energy efficiency could be a game changer in electronics and power generation.

Experimental Challenges

While the potential for practical use is promising, there are challenges too. Synthesizing multi-Weyl semimetals in the lab is tricky, and scientists need to carefully control various conditions to achieve the desired properties. This involves a lot of trial and error, as well as a deep understanding of the materials involved.

Additionally, studying these materials under strain requires specialized equipment and techniques. Researchers must observe how the materials respond to external forces without damaging them, which can sometimes feel like trying to spin plates on sticks.

Conclusion

In summary, multi-Weyl semimetals are fascinating materials with peculiar electronic properties that can be significantly influenced by strain. Understanding how strain interacts with these materials can lead to exciting advancements in technology. As scientific research continues, we hope to see real-world applications that harness the unique qualities of multi-Weyl semimetals. So, the next time you see a rubber band, think about the thrilling world of physics hidden within the stretch!

Original Source

Title: Geometric transport signatures of strained multi-Weyl semimetals

Abstract: The minimal coupling of strain to Dirac and Weyl semimetals, and its modeling as a pseudo-gauge field has been extensively studied, resulting in several proposed topological transport signatures. In this work, we study the effects of strain on higher winding number Weyl semimetals and show that strain is not a pseudo-gauge field for any winding number larger than one. We focus on the double-Weyl semimetal as an illustrative example to show that the application of strain splits the higher winding number Weyl nodes and produces an anisotropic Fermi surface. Specifically, the Fermi surface of the double-Weyl semimetal acquires nematic order. By extending chiral kinetic theory for such nematic fields, we determine the effective gauge fields acting on the system and show how strain induces anisotropy and affects the geometry of the semi-classical phase space of the double-Weyl semimetal. Further, the strain-induced deformation of the Weyl nodes results in transport signatures related to the covariant coupling of the strain tensor to the geometric tensor associated with the Weyl nodes giving rise to strain-dependent dissipative corrections to the longitudinal as well as the Hall conductance. Thus, by extension, we show that in multi-Weyl semimetals, strain produces geometric signatures rather than topological signatures. Further, we highlight that the most general way to view strain is as a symmetry-breaking field rather than a pseudo-gauge field.

Authors: Varsha Subramanyan, Shi-Zeng Lin, Avadh Saxena

Last Update: 2024-12-12 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2412.09733

Source PDF: https://arxiv.org/pdf/2412.09733

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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