Superconducting d-wave dispersion

In summary, the authors in the literature have different ways of writing the dispersion for the d-wave gap, with some using Δ(k)=Δ[cos(kx)-cos(ky)]/2 and others using Δ(k)=2Δ[cos(kx)-cos(ky)]. This difference may come from how the gap value is defined in the papers, and it is often referred to as the gap symmetry or order parameter symmetry, rather than dispersion.
  • #1
Niles
1,866
0
Hi

In litterature, I have noticed some authors write the dispersion for the d-wave gap as Δ(k)=Δ[cos(kx)-cos(ky)]/2, and some write it as Δ(k)=2Δ[cos(kx)-cos(ky)]. Where does this difference come from?
 
Physics news on Phys.org
  • #2
Niles said:
Hi

In litterature, I have noticed some authors write the dispersion for the d-wave gap as Δ(k)=Δ[cos(kx)-cos(ky)]/2, and some write it as Δ(k)=2Δ[cos(kx)-cos(ky)]. Where does this difference come from?

It would be helpful if you actually cite the references. There's no way for us to know how the gap value is defined in those papers. Most of the papers defined it using the first.

BTW, I don't recall seeing this being called the "dispersion". I've seen it called as the gap symmetry or the order parameter symmetry, but never "dispersion".

Zz.
 

FAQ: Superconducting d-wave dispersion

1. What is superconducting d-wave dispersion?

Superconducting d-wave dispersion is a phenomenon observed in certain materials where the resistance to electrical current drops to zero at low temperatures. This is due to the pairing of electrons in a specific pattern, known as d-wave symmetry, which allows for the free flow of current without any loss of energy.

2. How is d-wave symmetry different from other types of superconductivity?

D-wave symmetry is unique because it involves pairing of electrons with opposite spins, whereas other forms of superconductivity involve pairing of electrons with the same spin. This results in a different energy pattern and leads to different properties, such as the presence of nodes in the energy gap.

3. What is the significance of d-wave dispersion in superconductors?

D-wave dispersion is significant because it allows for the creation of superconductors that can operate at higher temperatures. This has important practical applications, such as in the development of more efficient and powerful electronic devices, as well as in advancements in clean energy technology.

4. How is d-wave dispersion measured or detected?

D-wave dispersion can be measured using various techniques, such as angle-resolved photoemission spectroscopy (ARPES) or scanning tunneling microscopy (STM), which allow for the visualization of the energy gap and the presence of nodes. Other methods include specific heat measurements and nuclear magnetic resonance (NMR) spectroscopy.

5. Are there any limitations or challenges in studying d-wave dispersion?

One of the main challenges in studying d-wave dispersion is the complexity of the materials involved. Superconductors with d-wave symmetry often have layered or complex crystal structures, making it difficult to accurately measure and understand their properties. Additionally, the presence of impurities or defects can also affect the behavior of d-wave superconductors, making it challenging to obtain consistent results.

Similar threads

D-wave superconductivity: Functional forms?
Replies
10
Views
3K
A Problem using Gutzwiller-RVB theory for high-temperature superconductivity
Replies
0
Views
618
I What does the wavenumber in a group velocity represent?
Replies
2
Views
2K
I Gap Equations Plotting Error in Python: Need Help Debugging
Replies
7
Views
895
I Dispersion Relation in Different Media
Replies
3
Views
884
The general equation of the superposition of orthogonal waves?
Replies
10
Views
2K
I Understanding the Derivation of Effective Mass Approximation in Semiconductors
Replies
1
Views
2K
I Understanding the dispersion of waves
Replies
5
Views
9K
A BCS energy and Cooper pair probability amplitude
Replies
1
Views
1K
Heat capacity from dispersion relation
Replies
1
Views
543

Hot Threads

Recent Insights

Back
Top