Chapter 489 Sudden Inspiration

The results of the simulation experiment gave Xu Chuan a shot in the arm.

It also reaffirmed his determination to continue studying mathematics.

Speaking of which, he did not do much in-depth research in the field of materials in this life. Up to now, almost all his research and knowledge in the field of materials came from his previous life.

But it is obvious that compared with his previous life, his breakthroughs in materials science in this life have far exceeded.

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, and other breakthroughs are all fields that he had never stepped into in his previous life.

And all of these foundations are inseparable from the mathematical foundation laid in this life.

It must be said that during the years of studying abroad in college and Princeton, his breakthroughs in mathematics again and again greatly promoted his development in the two major fields of physics and materials.

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

Although it seems important in the astronomy community and astrophysics, for him at present, achievements and breakthroughs are not so important.

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

At least before humans leave the solar system, it can be said that it is useless.

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

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

A rough look 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 data and was stunned.

Looking at the data of the simulation experiment, Xu Chuan fell into thinking in a daze. After waiting for a while, he ignored the senior brother Fan Pengyue who was waiting on the side and walked straight to his office.

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

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

Because Xu Chuan, who was holding the printing paper, didn't care about him at all, and after entering the office, he closed the door with a bang, locking him out directly.

He almost bumped into it when he was about to follow him in.

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

QAQ, what's going on?

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

Maybe, this junior brother has some new inspiration?

Although he has never encountered such a situation, he also knows about the monster of this junior brother.

Wait until he comes to his senses.

As for now, just arrange other work first.

In the office, Xu Chuan has forgotten that he has other things on his hands, and he didn't pay attention to the senior brother following behind him.

After closing the door casually, he sat down at his desk.

He 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 data that had just been printed out and fell into deep thought.

When he was verifying the data just now, he seemed to have noticed something vague and felt very important, but at this moment his mind was in chaos and he couldn't figure out anything.

To be honest, he hasn't had this feeling for a long time.

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

After staring at the manuscript for a while and still not finding what he wanted, Xu Chuan shook his head, cleared the chaotic thoughts in his mind, refocused his attention on the strongly correlated electron system, and began to reorganize his thoughts bit by bit.

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 physical phases, and understanding the laws of phase transitions.

For a long time, the Landau phase transition theory based on "symmetry" and "order parameter" was considered to be 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 Klessing and others discovered that under extremely low temperatures and strong magnetic fields, the two-dimensional electron gas in the inversion layer of the Si-SiO2 interface will show a quantized Hall resistance platform, accompanied by the appearance of zero longitudinal resistance.

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

Little by little, Xu Chuan began to recall and think from the initial 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 accelerated some of his reasoning.

".Since the integer quantum Hall effect was discovered experimentally, a considerable number of topological quantum materials and novel quantum effects have been discovered."

"For example, the chiral dissipative 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 physics, etc., topological quantum physics. I found it!"

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

He regained his inspiration and found what he found in the data!

[Topological superconducting system!]

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

In 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 realize topological quantum computing.

That is, to realize quantum computer calculation in the conventional sense!

In 2001, Kitayev, a theoretical physicist in the United States, proposed a one-dimensional topological superconducting model, at whose endpoints Majorana zero-energy modes can be realized.

This model can use semiconductor nanowires with strong spin-orbit coupling to achieve coupling with s-wave superconductors under an external magnetic field, and then construct high-quality topological quantum bit devices.

Simply put, this thing can form the basis of quantum transistors, and quantum transistors are the core of quantum chips.

Of course, no matter how core something is, it is inseparable from the most basic materials.

Traditional chips are semiconductors with silicon as raw materials;

Quantum chips have more abundant raw materials, which can be superconductors, semiconductors, insulators or metals. But no matter what, it is inseparable from the core quantum bit effect.

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

And topological quantum materials have excellent performance in theory in this regard.

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

And by regulating 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".

In theory, four Majorana zero-energy modes can be woven into a topological quantum bit. This quasiparticle weaving operation is an important way to achieve fault-tolerant topological quantum computing.

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

In fact, such an excellent material naturally attracted the attention of the scientific community.

But its shortcomings are not small.

If such a suitable topological quantum material is constructed, it will be the biggest problem.

For example, the required characteristics are too far from the Fermi level, the energy range of the distribution is too large, and so on.

But for Xu Chuan, he found a theoretically feasible path in the simulation 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 deviated from his original research.

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