As Luo Mingya said, the next step is to publish the paper.
As for where to publish the paper first...
This is indeed a problem.
Since it is a paper on Materials Science, it is of course best to publish it in the field of Materials Science.
However, arxiv does not include the field of Materials Science, nor does it even have chemistry content. Under normal circumstances, Materials Science can also be classified into chemistry.
Of course, there is also a chemical preprint website, the ChemRxiv website, which includes papers on materials.
It's just...
Xiao Yi is too lazy to register on this preprint website.
"Forget it, let's just post it on the physics section of arxiv."
Anyway, the difference between Materials Science and physics is not that big. Previous papers related to Density Functional Theory were published in physics journals. In "Physical Reviews", this journal's sister journal "Physical Review Letters" is a top journal in the field of physics.
But... As for which journal he will submit to in the future, let's see the situation first.
Xiao Yi didn't hesitate anymore. After sorting out the paper, he submitted it directly to arxiv.
"Well, the next step is to wait for the review to be approved..."
After sending the paper out, he stopped caring about it.
In the following time, he chose to continue studying Goldbach Conjecture.
"We have already studied how to further combine Xiao's expansion with the circle method."
"It's just... it seems to be a little bit different in detail. Where should the difference be?"
As his thoughts gradually sank in, he once again entered into deep thinking.
Time passed quietly.
In an afternoon tea restaurant of Princeton University.
Manjul Balgava was drinking coffee with another professor while discussing the topic.
This professor's name is Ali Yazdani, a professor from the Princeton University School of Physics, but he is also the director of the Princeton Composite Materials Center.
It can be said that he is very good at using physical methods to analyze material problems and is a top expert.
"Manjul, how long does it take to complete our calculation model?"
Ali Yazdani put down the coffee cup in his hand, and then asked Manjul Balgava.
"There should be another week." Balgava replied.
As a Fields Medal level mathematician, it is very common to be invited by scholars in other fields to help with Data Analysis things.
So some time ago, Yazdani approached him and asked him to help model a material model.
When he heard that there was still another week, Yazdani asked, "Well, this is taking a long time. Is it troublesome?"
"That's not true." Balgava shook his head and said, "It's just that I attended a mathematics conference before and gained a lot, so I distracted myself a little and studied some mathematics."
"That's right." Yazdani nodded to express understanding, but he still smiled and teased, "But what kind of mathematics conference can make you, the Fields Medal winner, gain something?"
Balgava said angrily, "Look what you said, if you could understand all mathematical knowledge after getting Fields Medal, then our mathematical community would have proven Riemann Hypothesis 10 times."
"In that report, there was the mathematical genius Xiao Yi. He briefly talked about something, which inspired me a lot."
Yazdani raised his eyebrows. "Is that the super genius who is not yet 20 years old?"
"Yes." Balgava nodded. "In addition, he also revealed at that meeting that he has been studying applied mathematics recently, and it may not be long before there are results. Maybe you can also pay attention to it, and it can bring some help to your project."
Yazdani suddenly laughed, "How is this possible! You also know that what we are currently studying is Topological Insulator, which mainly involves Surface State and the spin-orbit coupling effect. It is already quite cutting-edge research. He was still proving Twin Prime Conjecture in January. What heavy-weight results can he produce now?"
Balgava shrugged. "It's just talk."
But at this time, they suddenly heard several students discussing next to them. "Guess what I found? I just saw GodXiao posted a new paper on arxiv, and it was related to the field of physics, but it seems to involve materials."
"Really? Isn't it related to mathematics?"
"It should be true. I attended Zhang Yitang's report on Landau-Siegel-Zero Conjecture a few days ago, and then GodXiao revealed that he will publish results on applied mathematics recently."
"Look quickly..."
Listening to the conversation of these students, Balgava and Yazdani looked at each other.
Uh...
It seems that there is really some coincidence?
"Impossible, absolutely impossible." Yazdani shook his hands. He absolutely did not believe that Xiao Yi's paper could have any effect on him.
How could there be such a coincidence?
"I know you are in a hurry, but don't be in a hurry first." Balgava laughed and said, "Let's take a look first and then talk."
Then he took out his notebook from his bag, quickly opened arxiv, and then searched for the paper Xiao Yi.
Soon, he found the paper.
"That should be it. The name of the paper is..." Absolute Electronic Computation"."
Seeing the title of this paper, Balgava raised his eyebrows. "Absolute Electron? It seems that Xiao Yi directly proposed a new computational material model. This should be considered a big deal for Materials science community, right?"
He looked at Yazdani again. "Hey, maybe it can really help your project. Don't you really want to take a look?"
"No matter what, I don't believe that Xiao Yi has made so many achievements in mathematics. How can it be possible that Materials Science can also make important results?"
Yazdani shook his head, but he still looked at her honestly.
"I just want to see what he has come up with. It may be helpful in researching the materials. Of course, if he is wrong, then I will give him some guidance."
First is the abstract.
[This article proposes a computational material model called Absolute Electronic Computation (Absolute Electronicity Calculation, AEC) to achieve more accurate predictions of material properties in complex systems. This model combines various Computational Materials Science theories including Density Functional Theory, first-principles calculations, etc., and introduces a new electron correlation processing method to more accurately describe the behavior of electrons in strongly correlated electronic systems.
Through testing on a series of typical materials (such as high-temperature superconductors, heavy Fermi subsystems, and Topological Insulator), we verified the high accuracy and reliability of AEC in calculating Electronic Band Structure, density of states, and Superconducting Transition Temperature. In particular, AEC was used to predict the properties of the high-temperature superconductor YBCO, and its superconducting energy gap and transition temperature were successfully predicted, showing its advantages in dealing with strongly correlated electronic systems.
This research provides a powerful tool for theoretical research on complex electronic structure systems and is expected to have a profound impact on the research of Materials Science and Condensed Matter Physics.]
After reading this summary, Balgava showed a little surprise on his face. "Hey, it sounds like there is something interesting?"
"If we can accurately predict Yttrium Barium Copper Oxide... Ali, don't you think this is already amazing?"
Yazdani frowned and said, "Let's take a look first. Whether his model is correct or not has not yet been verified."
Hearing his words, Balgava smiled.
Obviously, Yazdani's sentence is an admission from another perspective that this model may indeed have something, if it can even achieve accurate predictions for YBCO as shown in the abstract.
The two stopped talking and continued to watch.
Of course, when he saw that it involved some Materials Science and more in-depth theories in physics, Balgava stopped reading because he couldn't understand it.
After all, he is just a mathematician.
However, he was still quite surprised.
Xiao Yi When did you have so much knowledge in these areas?
In addition to his research in mathematics, he still has the energy to study these?
As for Yazdani next to him, he basically had his laptop placed in front of him.
Although he said he didn't believe it, he still looked at it seriously.
Time passed slowly.
Until the end, Yazdani raised his head with an incredible look on his face.
"This... this... this..."
"Do you believe it now?" Balgava said.
"I..." Yazdani was speechless for a while.
After reading this paper, he was only shocked. Not to mention the mathematical techniques that Xiao Yi showed in the process of introducing Path integral and Markov chain Monte Carlo techniques, that part of the content... To be honest, he couldn't understand it either.
But based on the calculation results of the complex materials given by Xiao Yi later, he felt extremely incredible. All the error rates were within 10%. Is this a bit too outrageous?
Especially regarding high-temperature superconductors such as YBCO, it is even more...
"Could this thing even be used to study the mechanism of high-temperature superconductivity?"
He couldn't help but think about it.
It can't be data falsification. After all, he is also a top mathematical genius, so he should not be able to do such a thing.
Finally, he stood up and said, "Whether you believe it or not... I have to go back to the laboratory to verify it, so I won't be here with you for now."
"Go, go." Balgava laughed, "Go and feel what true genius is! Now you can also experience how we mathematicians feel when we face Xiao Yi."