Great Country Academician

Xu Chuan was stunned at the reporting table.

The narrating voice stopped, and the audience in the audience was also stunned for a moment.

What's going on here?

Isn't the report completed? Why are you so stunned on stage?

What's going on? Or what?

Although most of the mathematicians here did not understand the report on strongly correlated electron systems, there are still many mathematicians here who are interested in mathematical physics.

During Xu Chuan's lecture, most people consulted their colleagues and learned about the importance of the problem of strongly correlated electronic systems to physics.

This is a problem that is no less important than the seven millennium problems in mathematics. If it can be solved, it will greatly promote the development of materials science, condensed matter physics, quantum physics and other fields.

Although it is unclear why this top expert would report such a thing at a mathematics seminar, people are generally quite tolerant of experts.

So even though Xu Chuan was standing on the reporting table in a daze, no one made a sound to disturb him. They just discussed and communicated with each other in a low voice under the stage.

In the front row of the lecture hall, Terence Tao was quietly communicating with Peter Schultz who was sitting next to him.

He didn't pay much attention to it at first, but looking at the figure standing on the stage, an electric arc suddenly flashed in his mind, and the expression on his face suddenly became solemn.

On the side, Schultz looked at Terence Tao who was sitting upright for no reason, and asked curiously: "What's wrong?"

Tao Zhexuan took a deep breath and said: "I remembered the video of him proving the NS equation before. At that time, he also stood in meditation for a long time in class, and then solved the NS equation in one fell swoop."

"And the proofs and tools of that time are as if they were written by God to the mathematical world."

"perhaps."

"Today we get to see another miracle."

Hearing this, Schultz also remembered the video about the NS equation, smiled, and said, "Tao, maybe you are thinking too much."

Laughs "It's just that kind of miracle and inspiration. You're lucky to do it once in your life. If you can do it every time, it's incredible."

After a pause, he then joked: "Then I will doubt whether he is the reincarnation of God."

Tao Zhexuan shook his head and said, "Look, I don't think my feeling is wrong."

On the reporting stage, Xu Chuan ignored it, or he didn't even think that he was still on the stage at the moment.

He stood there motionless, completely oblivious to the environment he was in and the hundreds of audiences in front of him.

In his mind, the door that locks the problem of the strongly correlated electronic system has clearly emerged.

And the key to open that lock is constantly being honed and shaped.

The communication with Wei Teng made him think of another way to break through this abyss.

That is dimensional space!

To be precise, it should be dimension and its influence on the properties of strongly correlated electronic systems.

In materials science, dimension is a concept of real existence, which is similar to, but different from, the dimension in physics.

For example, low-dimensional materials refer to materials that do not exceed nanoscale in three dimensions, specifically two-dimensional, one-dimensional and zero-dimensional materials.

Zero-dimensional materials are also called quantum dots, which are composed of a small number of atoms or molecules, and the size of the particles is on the order of nanometers. Atom clusters of semiconductors and metals are typical zero-dimensional materials.

One-dimensional materials are called quantum wires, and the thickness of the wires is on the order of nanometers. For example, carbon nanotubes and one-dimensional graphene are one-dimensional materials.

Two-dimensional materials include an interface between two materials, or a thin film attached to a substrate. The depth of the interface or the thickness of the film layer is on the nanometer scale, such as metal nanoplates.

In the early years, he participated in the tungsten diselenide material project of Chen Zhengping, a mentor of Nantah University.

Tungsten diselenide is a typical two-dimensional material.

In low-dimensional materials, the impact of dimension on the material itself is an option that cannot be ignored.

Especially in materials such as complex transition metal oxides (TMOs), due to strong electron-phonon or electron-electron coupling, the collective behavior of system electrons determines its macroscopic properties.

The simple superposition of the kinetic energy of a single electron no longer plays a dominant role. It will change with changes in external conditions such as temperature and magnetic field, as well as various order parameter phases such as the material's lattice structure, electronic structure, and spin arrangement.

Intertwined with each other, resulting in an extremely rich phase diagram structure.

It then displays macroscopic quantum phenomena such as high-temperature superconductivity and giant magnetoresistance, giving the material new properties with great application value.

In this process, the impact of dimensions is what Xu Chuan is thinking about.

By regulating the coupling strength between multiple degrees of freedom by changing the quantum confinement effect generated by the dimensions of a strongly correlated system, we can controllably induce richer physical phenomena. This is a truth that can be proven through experiments.

What he is thinking about now is how to explain it using mathematics.

Perhaps by accomplishing this, a more universal unified theoretical framework can be found to unify strongly correlated electronic systems.

In this way, he stood on the stage and began to think logically, forgetting the environment he was in.

In the lecture hall, the mathematicians in the audience were also waiting patiently.

Time passed little by little in this quietness.

One minute.

Two minutes.

five minutes.

In the blink of an eye, ten minutes passed.

The crowd under the stage was a lot more noisy than before, but everyone still tried their best to maintain a quiet atmosphere. Since they were talking, they lowered their voices so as not to interfere with the thinking on the stage.

At this meeting, the scholars in the lecture hall probably knew that this young big cow seemed to have a new inspiration.

Although the strongly correlated electron system is not a difficult problem in the mathematics world, everyone present is looking forward to some new breakthroughs in it.

After all, mathematics is the basis of all natural sciences and the language of other disciplines.

If physics is the subject of studying natural laws and logic, then mathematics itself is logic.

It is a thinking tool created subjectively by human beings, and it is a logic that is further simplified based on existing natural laws and logic.

The things that humans can currently reach within this cosmological constant are so limited, but mathematics has given infinite possibilities and brought infinite beauty to humans.

It belongs to Venus born in the bubble, and it also belongs to the aria on the G string. You can experience the vicissitudes of the coastline from natural fractals, you can also create a grand starry sky in a conservative chaotic system, and you can even create your own in vector space. artificial intelligence.

In the lecture hall, several students who came to attend the seminar with their instructors for the first time involuntarily clenched their fists, feeling a little worried and at a loss.

Although they were not standing on the podium in person, they seemed to be able to empathize with the tension.

Of course, what they didn't know was that their instructor standing on the stage didn't feel any tension in his heart.

Time passed like this little by little, and I don’t know how long it had passed. Just when the staff in the audience were hesitant to report to the leaders and remind them that when the third report meeting was supposed to begin, Xu, who had been silent all the time, Chuan suddenly moved.

He turned around and took off the wiper board from the hook of the mobile blackboard, and wiped clean the previous ones on the blackboard in two or three strokes.

Immediately, a piece of white chalk landed on the black panel, and rows of calculations danced quietly with the dancing of the palm.

【χ(q,ω)=∑kfkfk+qεkεk+q+ω.】

【λsp=8πe2vFπn√ω2(1+εsub)】

Under the reporting table, when Xu Chuan suddenly started to act, Tao Zhexuan, who was paying attention, suddenly held his breath and stared at the blackboards with concentration.

Are his feelings coming true?

It's just, what can he do this time?

Is it a phased result?

Or find a new method to incorporate all strongly correlated electronic systems?

He is not a scholar in physics, although he has studied extensively in the field of mathematics and knows some physics knowledge. However, the knowledge on the blackboard involving cutting-edge physics fields still made him a little confused.

On the other side, Edward Witten, who had sat down again, his pupils shrank slightly when he saw those lines of calculations, as if he had a premonition of something, but he couldn't believe his own judgment.

If nothing else, it would be really amazing.

Involuntarily, his breathing became a little heavy.

On the report stage, Xu Chuan ignored the audience, and continued to outline formulas on the blackboard in front of him with the chalk in his hand.

The ideas in his mind support him to move forward, and his research and ability in mathematical physics and materials science are his most powerful weapons at this moment, helping him to overcome obstacles and open up a clear path.

At the same time, in the front row of the auditorium in the report box.

Looking at the back of Xu Chuan in front of the blackboard, and then at his friend Witten who stood up again in astonishment, Deligne cast him a questioning look.

"What is he doing?"

Witten's eyebrows were also furrowed tightly, and he stared at the blackboard motionlessly, his eyes moving along with the listed companies, as if he was thinking along with them.

When he didn't get an answer, Deligne's eyes fell on Xu Chuan, who was writing formulas in front of the blackboard.

Is he, a student, a little too perverted?

Mathematics, physics, astronomy, materials, chemistry, quantum theory. Is there anything he doesn't understand?

I really don’t understand how he managed to become proficient in so many fields at the age of only twenty-five.

Even his mentor Grothendieck couldn't have done this when he was young, right?

On the reporting table, when all the formulas were written on several blackboards, Xu Chuan stopped what he was doing and stared at the blackboard covered with equations standing there.

After a long time passed, he finally came to his senses, breathed a long sigh of relief, and threw the chalk in his hand into the chalk box.

This is the second time I encountered this situation. Because the blackboard area was not enough, I was forced to interrupt the proof process.

Fortunately, he had already caught that glimmer of inspiration.

If nothing else happens, he can make up for the rest in the next few days.

Looking at Xu Chuan at the reporting table, Professor Witten asked with a trembling voice: "Did you do it?"

Xu Chuan shook his head and said, "Not yet."

After a slight pause, he added: "But at least I found a direction that should be feasible."

Witten: "What direction?"

Xu Chuan smiled and said: "Dimension!"

After that, he left the reporting table and left the venue directly without returning to his seat.

PS: There is another chapter in the evening, but it probably won’t be released before 12 o’clock. There will be one in the morning. Please vote for it!