Berkeley Lab Researcher Explains Simulation Shows Interesting Properties Possible But Does Not Prove LK99

Sinéad Griffin, Berkeley Lab researcher, published the simulation of LK99 paper. The paper did *not* prove nor give evidence of superconductivity in Cu-apatite. It showed interesting structural and electronic properties that have features common with high-Tc superconductors provided Cu is in the right place. Result 3: The electronic structure of Cu on the Pb(2) does…
Berkeley Lab Researcher Explains Simulation Shows Interesting Properties Possible But Does Not Prove LK99

Sinéad Griffin, Berkeley Lab researcher, published the simulation of LK99 paper. The paper did *not* prove nor give evidence of superconductivity in Cu-apatite. It showed interesting structural and electronic properties that have features common with high-Tc superconductors provided Cu is in the right place.

Result 3: The electronic structure of Cu on the Pb(2) does not have evidence of these flat bands and instead looks like a regular semiconductor. Moreover Cu is more stable on this Pb(2) site than on the Pb(1) site in the DFT.

What does this mean for the experiments?

If Cu is indeed sitting in the Pb(1) site in the apatite structure as they report, then the DFT calculations suggest that there are interesting flat bands that are a result of the structural distortion.

Flat bands can mean superconductivity, but can also mean a wealth of other phenomena like metal-insulator transitions, charge density waves, magnetism (all interesting!)

The structural distortion and my magnetic calculations of Cu on the Pb(1) also suggest that there might be strong electron-phonon coupling or spin fluctuations in this system (important for the superconducting mechanism)

TLDR: My paper did *not* prove nor give evidence of superconductivity in Cu-apatite. It showed interesting structural and electronic properties that have features common with high-Tc superconductors provided Cu is in the right place. Otherwise we get a ‘boring’ semiconductor.

— Sinéad Griffin (@sineatrix) August 2, 2023

https://t.co/m9HG1T4mgh

— Sinéad Griffin (@sineatrix) August 2, 2023

There are two inequivalent Pb atoms in the structure – I considered both (called Pb(1) and Pb(2)). They report to have Cu on Pb(1) in the exp (pink). Note: this is the opposite to the labeling in the exp paper however I adopted the conventional labeling used in other literature.

— Sinéad Griffin (@sineatrix) August 2, 2023

It is extremely effective for a wide range of properties, but has its limitations. For one, the approximations made in the implementation of DFT do not deal with strong ‘electron-electron’ interactions well.

— Sinéad Griffin (@sineatrix) August 2, 2023

One of these is called DFT+U where the U is added to the orbitals that we expect to be treated inadequately. In my case, we expect the d-orbitals in Cu need such a treatment. There are several ways of deciding what value of U should be added (e.g. comparing with experiment).

— Sinéad Griffin (@sineatrix) August 2, 2023

(this is a bit weird for this small amount of substitution). I pulled a chemist colleague into my office to ask him if he also thought it was weird. He agreed.

— Sinéad Griffin (@sineatrix) August 2, 2023

Flat bands can mean superconductivity, but can also mean a wealth of other phenomena like metal-insulator transitions, charge density waves, magnetism (all interesting!)

— Sinéad Griffin (@sineatrix) August 2, 2023

The structural distortion and my magnetic calculations of Cu on the Pb(1) also suggest that there might be strong electron-phonon coupling or spin fluctuations in this system (important for the superconducting mechanism)

END OF MEGATHREAD 1

— Sinéad Griffin (@sineatrix) August 2, 2023

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