Chapter 491: Sudden Inspiration
The results of the simulation experiment gave Xu Chuan a shot of strengthening.
It also made him firm again determined to continue to study and research in mathematics.
Speaking of which, he has not had much in-depth research in the field of materials in his life, and up to now, almost all his research and intellectual abilities in the field of materials have come from his previous life.
But it is obvious that compared with his previous life, his breakthrough in materials science in this life has far beyond.
Breakthroughs in the mechanism of high-temperature superconducting materials, the exploration of computational materials models, the optimization of copper-carbon-silver composite superconducting materials, and the unified framework of strongly correlated electronic systems are all fields that I have never stepped into in my previous life.
And all these foundations are inseparable from the mathematical foundation laid in this life.
It has to be said that during the years when he studied in college and Princeton, he made breakthroughs in the field of mathematics again and again, which greatly led to his development in the fields of physics and materials.
As for astronomy, it can only be said to be an additional gain.
Although it seems important in the astronomical and astrophysical circles, for him at present, the results and breakthroughs are not so concerned.
After all, the method of calculating the parameters of distant celestial bodies, in today's era, seems to him, it may take decades or even hundreds of years to be used.
At least until humans leave the solar system, it can be said that it is of little use.
Of course, when the future Age of Interstellar Exploration begins, it will bring valuable habitable planets to human civilization.
After carefully reading the printed simulation data, Xu Chuan flipped through it again.
A cursory review wasn't enough for him to fully understand the entire simulation.
Suddenly, at this moment, he stared at the line of data on the data and was stunned.
Looking at the data of the simulation experiment, Xu Chuan was stunned and fell into thought, and after waiting for a while, he didn't care about the senior brother Fan Pengyue who was waiting on the side, and walked straight towards his office.
Fan Pengyue, who had been standing behind him, thought that this little junior brother had something to explain, so he took steps to follow.
But soon, he realizes that things don't seem to be what he imagined.
Because Xu Chuan, who was pinching the printer paper, didn't care about him at all, and after entering the office, he slammed the door and shut him out.
Just as he was about to follow up, he almost crashed into it.
Looking at the closed door, Senior Brother Fan looked confused.
QAQ, what's the situation?
Standing in front of the door stunned for a moment, he seemed to remember something, touched his nose, shrugged his shoulders and turned to leave.
Probably, what new inspiration did this little junior brother have?
Although he had never encountered this situation, he also knew about the evil of this fellow junior brother.
It would be nice to wait for him to come to his senses.
As for now, just go ahead and arrange other work.
In the office, Xu Chuan had forgotten that he had other things on his hands, and he didn't pay attention to the senior brother who was following him.
With him in front of the door, he sat down at his desk.
I took out the necessary A4 paper and ballpoint pen from the drawer and opened the results of the simulation.
【H±W (p)= v±[(px py)τx 2pxpyτy]± VzPzτz。 】
【Ωαβj(k)= Trh Pj (k)αPj (k)βPj (k)i(αβ),】
After writing down the two formulas, Xu Chuan stared at the material that had just been printed out and fell into deep thought.
When he had just verified this information, he seemed to have noticed something faint and felt important, but at this moment, his mind was chaotic, and he couldn't figure out anything.
Honestly, he hadn't felt this way in a long time.
Although he couldn't remember what he had found before, he could be sure that it was important!
After staring at the manuscript paper for a while, but still not finding what he was looking for, Xu Chuan shook his head, cleared out the chaotic thoughts in his mind, refocused his attention on the strongly correlated electronic system, and began to reorganize his thoughts little by little.
The strong correlation system is the core of condensed matter physics, and the main research object of condensed matter is the system composed of a large number of particles, including the classification of state of matter, the exploration of novel phases, and the understanding of phase transition laws.
For a long time, Landau's phase transition theory, based on "symmetry" and "order parameters", was considered the "ultimate theory" for the classification of condensed matter until the topological quantum state of matter was experimentally discovered.
The most famous example is probably the experimental discovery of the quantum Hall effect.
In 1980, Klaus von Klitsing et al. discovered that at extremely low temperatures and strong magnetic fields, the two-dimensional electron gas in the inverse layer of the Si-SiO2 interface will exhibit a quantized Hall resistance platform, and will be accompanied by the emergence of zero longitudinal resistance.
This phenomenon has led to the topological quantum phase transition theory beyond the Landau paradigm, which has become the focus and frontier of condensed matter physics.
Little by little, Xu Chuan began to think about it from the original condensed matter physics, and when the quantum Hall effect entered his mind, his eyes gradually brightened.
He seemed to have found where his previous inspiration came from.
Thinking about it, he sped up some of his reasoning.
From the experimental discovery of the integer quantum Hall effect, quite a lot of topological quantum materials and novel quantum effects have been discovered."
"For example, the chiral non-dissipative edge state in magnetic topological materials can realize low-energy electronic devices, and the Majorana zero-energy mode exists in topological superconducting systems."
The latter is closely related to topological quantum computing, and they are two important development directions for topological quantum states of matter, and so on. I found it! “
In front of the desk, Xu Chuan clenched his fists excitedly and waved it vigorously.
He rediscovered his inspiration and found what he had found in that data!
[Topological superconducting system! 】
A field that is different from conventional superconducting materials, materials applied to the direction of topological quantum computing!
Among topological superconductor materials, there is a very important thing called the 'Majorana zero-energy mode'.
It has the characteristics of a non-abelian anyon and can be used to implement topological quantum computing.
That is, to realize quantum computer computing in the conventional sense!
In 2001, Kitaev, a theoretical physicist in the United States, proposed a one-dimensional topological superconducting model that could realize the Majorana zero-energy model at its endpoints.
This model can be coupled with S-wave superconductivity under an applied magnetic field by using semiconductor nanowires with strong spin-orbit coupling, and then construct high-quality topological qubit devices.
To put it simply, this thing can form the basis of quantum transistors, which are the core of quantum chips.
Of course, no matter how core things are, they are inseparable from the most basic materials.
Traditional chips are semiconductors made of silicon;
Quantum chips, on the other hand, are more abundant in raw materials, which can be superconductors, semiconductors, insulators, or metals. But either way, it can't do without the qubit effect at the core.
How to make qubits complete their mission without interference is the core problem of current quantum devices.
Topological quantum materials theoretically have excellent properties in this regard.
For example, intrinsic topological superconductors have a topological non-mediocre bandgap structure.
By manipulating the external magnetic field, an orderly, tunable density and geometry vortex structure can be realized, which provides an ideal material platform for manipulating and weaving the 'Majorana zero mode'.
Theoretically, four Majorana zero-energy modes can be woven into a topological qubit, and this kind of quasiparticle weaving operation is an important way to realize fault-tolerant topological quantum computing.
Because it directly avoids the complex problem of the traditional quantum superconductivity-semiconductor interface.
In fact, such an excellent material has naturally attracted the attention of the scientific community.
But its shortcomings are not small.
If this kind of suitable topological quantum material is constructed, it is the biggest problem.
For example, the required features are too far away from the Fermi level, the range of energy distributed is too large, and so on.
But for Xu Chuan, he found a path that should theoretically be feasible on the simulated data.
Thinking about it, Xu Chuan quickly picked up the ballpoint pen on the table and wrote on the A4 manuscript paper.
Although this sudden inspiration has long since deviated from his original research.
But if all goes well, he may be able to provide complete theoretical support for solving this trouble, and give such a boost to the arrival of quantum computers!