How is 3D d-wave superconductivity band?

In summary, the conversation is discussing the d-wave superconductivity found in cuprate materials, specifically the constant pairing function along the z-axis with a d_{x^2-y^2} symmetry. The person suggests looking up this orbital symmetry in an atomic spectroscopy book for more information. They also mention that atomic orbitals have slightly different z-axis symmetry with open lobes, creating a "sausage" shape when concatenated.
  • #1
MTd2
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Please,

I found this (the 4 lobe object in the center):
http://www.physics.utoronto.ca/lecture-and-seminar-series/colloquium/events/tsuei.jpg

But is it the same throughout the z axis, or does it vary significantly?
 
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  • #2
I assume this is a description of the d-wave superconductivity as found in the cuprates. In those materials, there is a very prominent layered structure. So yes, along the z-axis the pairing function is constant. Remember however that you're looking at the pairing function in the momentum/Fourier-transformed space.
 
  • #3
Or to be more specific, it is the [itex]d_{x^2-y^2}[/itex] symmetry. So if you open any atomic spectroscopy book, look up that orbital symmetry and there you have it.

Zz.
 
  • #4
ZapperZ said:
Or to be more specific, it is the [itex]d_{x^2-y^2}[/itex] symmetry. So if you open any atomic spectroscopy book, look up that orbital symmetry and there you have it.

Zz.

Though atomic orbitals are spherical harmonics, so have a slightly different z-axis symmetry. In this case, the "lobes" should be open, so that concatenating Brilliouin zones creates a sort of "sausage". Otherwise, yes, it's called [itex]d_{x^2-y^2}[/itex], but only because its x-y plane symmetry has the same nodes (I'd like to say the same shape in general, but am not sure?)
 

1. What is 3D d-wave superconductivity band?

3D d-wave superconductivity band refers to the unique electronic structure of certain superconducting materials in which the energy levels form a three-dimensional pattern that resembles a d-wave. This type of band structure is believed to be responsible for the high-temperature superconducting properties of these materials.

2. How is the 3D d-wave superconductivity band different from other superconductivity band structures?

The 3D d-wave superconductivity band is different from other band structures because it exhibits a gap in the energy levels at certain points, known as nodes. This gap is essential for the high-temperature superconducting properties of these materials and is not present in other band structures.

3. What is the significance of the 3D d-wave superconductivity band?

The 3D d-wave superconductivity band is significant because it allows for the possibility of high-temperature superconductivity, which has many practical applications in technology and energy storage. Understanding this band structure can also lead to further advancements in superconducting materials and their properties.

4. How is the 3D d-wave superconductivity band related to the phenomenon of superconductivity?

The 3D d-wave superconductivity band is directly related to the phenomenon of superconductivity because it is the unique electronic structure that enables the flow of electrons without resistance at high temperatures. Without this band structure, superconductivity would not be possible in these materials.

5. What research is being done on the 3D d-wave superconductivity band?

Currently, there is ongoing research on understanding the mechanisms behind the 3D d-wave superconductivity band and how it can be manipulated to improve the properties of superconducting materials. Scientists are also exploring the potential applications of this band structure in various fields, such as energy storage and quantum computing.

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