Chapter 496 The fatal flaw in the paper
The end of the report does not mean that the report meeting is over.
For natural science achievements report meetings such as mathematics and physics, the questioning session is the real challenge.
For many researchers, submitting a conference paper is stressful, while answering questions is even harder.
Because the reporter not only has to answer the questions of everyone present, but sometimes the questions are often pretentious long speeches, casual self-statements and uncovered intellectual displays.
Simply put, you may encounter some pretending bet-related offenders during the questioning session.
Of course, this situation is impossible to happen at Xuchuan's report meeting.
After all, if you have to talk about pretending.....Hell, if you have to talk about advanced operations, who can compare him at his report meeting?
.........
When the applause in the auditorium was slightly weak, Xu Chuan stood back to the report table, picked up the microphone and spoke again:
"The report on the framework of strongly related electronic system is over. If you have any questions, please give it as much as possible and I will do my best to answer it."
For strongly related electronic systems, the most important thing in the physical world is the introduction of the concept of dimensional space and the corresponding mathematical methods in the entire paper.
If you can control these things, it will not be difficult to understand this paper.
As Xu Chuan finished speaking, arms raised in the auditorium one by one.
Starting from the front row, Xu Chuan began to answer questions.
In this kind of report meeting, the selection of people will naturally be based on the reporter's own arrangement.
The first question was Frank Welchick, winner of the Nobel Prize in Physics in 2004, and is mainly engaged in research in fields such as condensed matter physics, astrophysics and particle physics.
The boss asked two questions related to the calculation methods of low-dimensional mathematical theory, and after getting Xu Chuan's perfect answer, he sat down.
The second one followed was Michael Kostlitz.
The 16-year Nobel Prize winner in Physics mainly focuses on condensed matter theory and one-dimensional/two-dimensional physics.
When Xu Chuan signaled him to ask a question, Kostlitz quickly stood up and took the microphone from the staff, with some excitement and expectation.
"When the electron-electron correlation interaction is introduced into topological quantum materials, complex novel and ordered phases will be produced in the system, but how to explain this mathematically is still a mystery."
"How did Professor Xu see this problem? Does it have strict models and analytical solutions?"
As a scholar who studies topological phase transitions and topological phases of matter, he has been looking for a method to combine topological phase transitions and strongly associated electronic body systems.
But unfortunately, even though he was able to use topology to study topological phase transitions and topological phase matters of physical materials from a mathematical perspective, he still failed to find a suitable path.
And now, in this young scholar on the stage, he sees hope for breakthroughs.
Of course, what he didn't know was that the road he yearned for and hoped for had long been opened up.
On the report stand, when Xu Chuan heard this question, he immediately knew what the other party was thinking.
Establish a unified theory for topological phase transformation and strong correlation systems, and then conduct in-depth research on topological quantum materials.
This is a job he was still busy a few days ago, but I didn’t expect that someone would want to go with him today.
After pondering for a while, Xu Chuan said, "This is one of the unsolved problems in the strong correlation system. Unify the strong correlation system and topological state."
"Theoretically, it is possible to unify the topological states into the framework of strongly correlated electronic systems, but I have not studied this in depth. Perhaps you can consider the non-trivial multi-band quantum geometry method of hybrid orbital characteristics."
"This route has now shown many physical phenomena, which can also be explained by mathematical methods, and may be extended."
Although he had completed this theory, he could not express it clearly, nor could he take out his paper to explain it.
After all, topological quantum materials involve research on quantum computers and are of great importance.
But at the report meeting, fellow scholars in the audience had already made questions, and it was impossible for him to not say anything about it.
Listening to Xu Chuan's answer, Professor Kostlitz fell into thinking and sat down without realizing it.
Seeing this, Xu Chuan skipped him and continued to ask questions.
And immediately afterwards, Professor David Gross, the head of CERN.
Like Frank Wercek, he was also the winner of the 2004 Nobel Prize in Physics.
And nominally, this big bull is Xu Chuan’s ancestor.
Because he is Witten's mentor, in theory, he is at the same level as Alexander Grothendieck.
Of course, when it comes to influence in their respective fields, Groth is definitely not as good as Grothendieck. After all, the latter is known as the founder of modern algebraic geometry and the greatest mathematician of the 20th century.
But Professor Gross's achievements are not low, and it can even be said to be very high.
He is the founder of the 'hybrid string theory', the founder of asymptotic freedom in the strong interaction theory, one of the main founders of quantum chromodynamics, and is also recognized as a leader in modern physics.
In today's physics community, his status is not to mention that he can compete for the top three, but there should be no problem in competing for the top five.
This time he came here, on the one hand, the unified framework theory of strongly correlated electronic systems is indeed in his research scope.
On the other hand, we are preparing to connect with Xuchuan and exchange cooperation on the construction of CERN and China's large-scale strong particle collider.
Although CERN is still debating whether to continue to build a high-brightness LC-LHC hasron Collider, I am afraid there is no hope.
With the rise of China, the increasing decline of the United States and the European Union is inevitable.
In the economic downturn, the large-scale strong particle collider, which is expensive, extremely troublesome to invest in maintenance and requires massive funds, is not so important.
This chapter is not over, please click on the next page to continue reading! Of course, at the report meeting today, the questions he raised must have nothing to do with the collider, and will only be due to strong correlation electronic systems.
After all, this is the unspoken rule of the presentation meeting, and it is also a necessary respect and etiquette for academic speakers.
Standing up, Professor Gross thought about and organized the language and spoke: "On the 31st page of the paper, I noticed the topological insulator effect formed by the strongly correlated electron effect in the two-dimensional state you proposed."
"This study first proposed the minimum continuous model of the p-ip exciton phase and proposed a new topological invariant, namely the chiral Chenshu, to characterize the topological properties of the system."
"But in the two-dimensional minimum two-component model, although the traditional Chen number of topological exciton insulated phase is zero, it has one-half chiral Chen number. Can the reporter explain this?"
Upon hearing this, Xu Chuan lowered his head and turned the paper: "Are you thirty-one pages?"
"Simply put, this new topological insulator is formed by exciton condensation of the p-ip wave function, and its mechanism is similar to that of the P-ip wave Coopers that leads to the famous topological superconductor for condensation."
"There will be Majorana fermions in the vortex of topological superconductors, and there will be quasi-particles with 1/2 charge in the vortex of topological exciton insulators. But unlike p-ip topological superconductors and Chen insulators, the traditional Chen number of this new topological exciton insulator is zero, so its topological properties are portrayed by the newly proposed "chiral Chen number" by the research team."
"In addition, the aggregation of PIP excitons will also lead to the breakdown of in-plane spontaneous magnetization and time inversion symmetry..."
Before Xu Chuan could finish his words, Professor David Gross interrupted him.
"What I know, what I want to know is how you define strong electron-electron interactions that produce a p-wave symmetry scattering channel."
"If I remember correctly, this part of the theory involves small polarons in strong electrophonon interaction systems, but this is still an unsolved problem."
Standing off the stage, David Gross looked at the young man on the report stage and slowly spoke out his questions.
His voice was not loud, but it exploded in the entire auditorium like a thunder, attracting the attention of everyone present.
Listening to his mentor's questions, Edward Witten's dark green pupils instantly condensed and his breathing became rapid.
This is a flaw that he did not find, and even in the entire physics community, few people have noticed this extremely subtle key point.
Professor Michael Costlitz, who had just finished asking the question, was stunned for a moment, then quickly bent down and flipped out the paper from his backpack placed at the corner of the chair, and found the 31st page of the paper.
Looking at the theories and mathematical formulas on the paper, he quickly calculated in his mind.
The problem of small polarons in strong electrophonon interaction systems is that they are problems in strong interaction systems. They were once widely studied in the 1960s and 1980s.
However, with the subsequent discovery of strong electron-electron coupling systems represented by high-temperature superconductors, research in this area is no longer mainstream. There is no complete set of theoretical images to solve this problem in a unified manner.
He didn't expect to find this hidden point in this paper.
Now, for Professor Xu, this may be a "fatal" defect in the framework of strongly related electronic body system.
...........
PS: There is another chapter tonight
Chapter completed!