Great Country Academician

As a result of the simulation experiment, Xu Chuan was given a shot of cardiotonic.

It also strengthened his determination to continue studying mathematics.

Speaking of which, he has not done much in-depth research in the field of materials in his life. As of now, almost all his research and knowledge in the field of materials 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 exceeded that.

Breakthroughs such as the mechanism of high-temperature superconducting materials, the exploration of computational materials science models, the optimization of copper-carbon-silver composite superconducting materials, the unified framework of strongly correlated electronic systems, etc. are all areas that have never been entered in the 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 abroad at university and Princeton, he made breakthroughs again and again in the field of mathematics, which greatly promoted his development in the two fields of physics and materials.

As for astronomy, it can only be said to be some additional gains.

Although it seems very important in the world of astronomy and astrophysics, for him currently, results and breakthroughs are not that important.

After all, in this era, in his opinion, the method of calculating the parameters of distant celestial bodies may take decades or even hundreds of years to be used.

At least until humans leave the solar system, it can be said to be of little use.

Of course, when the future era of interstellar navigation begins, it will bring precious livable planets to human civilization.

After carefully reading the printed simulation data, Xu Chuan started reading it again.

A cursory pass was not enough for him to fully understand the entire simulation experiment.

Suddenly, at this moment, he stared at a line of data on the document and was stunned.

Looking at the data from the simulation experiment, Xu Chuan fell into thought in a daze. After waiting for a while, he ignored his senior brother Fan Pengyue who was waiting aside and walked straight towards his office.

Fan Pengyue, who had been standing behind him, thought that this junior brother had something to explain, so he stepped forward and followed him.

But soon, he discovered that things seemed different from what he imagined.

Because Xu Chuan, who was holding the printing paper, didn't pay attention to him at all, and after entering the office, he closed the door with a bang and locked him out.

Just as he was about to follow him, he almost ran into him.

Looking at the closed door, Senior Brother Fan looked confused.

QAQ, what's going on?

Standing in front of the door for a moment, he seemed to remember something, touched his nose, shrugged and turned to leave.

Perhaps this junior brother has some new inspiration?

Although he has never encountered this kind of situation, he also knows about the monster of this junior fellow student.

Just wait until he comes to his senses.

As for now, just arrange other work first.

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 following him.

After closing the door behind him, 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 experiment.

[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 information that had just been printed out and fell into deep thought.

When he just verified this information, he seemed to notice something vague and felt important, but now his mind was in chaos and he couldn't figure anything out.

To be honest, he hadn't felt this way in a long time.

Although he couldn't remember what he had discovered before, he was sure that it was important!

After staring at the manuscript paper and thinking for a while, but still not finding what he wanted, Xu Chuan shook his head, cleared out the chaotic thoughts in his mind, refocused his attention on the strongly correlated electronic system, and started to do it again. Organize your thoughts little by little.

Strongly correlated systems are the core of condensed matter physics, and the main research object of condensed matter is a system composed of a large number of particles. The main research contents include classifying physical states, exploring novel phases, and understanding phase transition laws.

For a long time, the Landau 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 was experimentally discovered.

The most famous example is probably the experimental discovery of the quantum Hall effect.

In 1980, Claus von Klissing and others discovered that under extremely low temperatures and strong magnetic fields, the two-dimensional electron gas in the inversion layer at the Si-SiO2 interface would exhibit a quantized Hall resistance platform, accompanied by zero longitudinal The appearance of resistance.

This phenomenon led to the topological quantum phase transition theory that transcends the Landau paradigm, and has now become the focus and frontier of condensed matter physics research.

Little by little, Xu Chuan began to recall and think about condensed matter physics. When the quantum Hall effect entered his mind, his eyes gradually brightened.

He seemed to have found where his previous inspiration came from.

Thinking, he speeded up some reasoning.

".Since the experimental discovery of the integer quantum Hall effect, quite a number of topological quantum materials and novel quantum effects have been discovered."

"For example, chiral dissipationless edge states in magnetic topological materials can realize low-energy electronic devices, and Majorana zero-energy modes exist in topological superconducting systems, etc."

"The latter is closely related to topological quantum computing. They are two important development directions of topological quantum states of matter. Wait, topological quantum states of matter. I found it!"

In front of the desk, Xu Chuan excitedly clenched his fists and waved them vigorously.

He rediscovered his spark of inspiration and found what he found in that data!

【Topological superconducting system!】

A field different from conventional superconducting materials, materials used in the direction of topological quantum computing!

Among topological superconducting materials, there is a very important thing called 'Majorana zero-energy mode'.

It has the characteristics of non-Abelian anyons and can be used to implement topological quantum computing.

That is to achieve quantum computer calculations in the conventional sense!

In 2001, the American theoretical physicist Kitaev proposed a one-dimensional topological superconducting model, which can realize the Majorana zero-energy mode at its endpoints.

This model can use semiconductor nanowires with strong spin-orbit coupling to achieve coupling with s-wave superconducting under an external magnetic field, thereby constructing high-quality topological qubit devices.

Simply put, 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 cannot be separated from the most basic materials.

Traditional integrated chips are semiconductors using silicon as raw material;

The raw materials for quantum chips are more abundant, and they can be superconductors, semiconductors, insulators or metals. But no matter what, it is inseparable from the core qubit effect.

How to allow qubits to complete their mission without interference is the core problem of current quantum devices.

Topological quantum materials theoretically have excellent performance in this regard.

For example, intrinsic topological superconductors have a topologically non-trivial bandgap structure.

By controlling the external magnetic field, an ordered vortex structure with adjustable density and geometry can be achieved, 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. This quasi-particle weaving operation is an important way to achieve fault-tolerant topological quantum computing.

Because it directly avoids the complex problem of traditional quantum superconducting-semiconductor interface.

In fact, such excellent materials have naturally attracted the attention of the scientific community.

But its shortcomings are not small either.

The biggest problem is building such suitable topological quantum materials.

For example, the required features are too far from the Fermi level, the energy range of the distribution is too large, etc.

But for Xu Chuan, he found a path that should be theoretically feasible based on simulated data.

Thinking about it, Xu Chuan quickly picked up the ballpoint pen on the table and started writing on the A4 paper.

Although this sudden inspiration had already deviated from his original research.

But if everything goes well, he may be able to provide complete theoretical support to solve this problem and give a boost to the arrival of quantum computers!