Sensitivity of Dirac fermion and Weyl fermion by the Energy Conservation Law of Lenz

The law of Lenz as an energy conservation law between the electric eld and the magnetic eld allows the charge current and spin current generated by matters and antimatters to be symmetrical with each other. Thus, there is a Lenz plane of symmetry to the electromagnet energy. Phase isolators are charged current by electrons and spin current by spin. The charge current is Weyl fermion, and the spin current is Dirac fermion. The charge current and spin current are characterized by balancing each other, and the fermion, which has both particles and carriers, is Majorana fermion. The reaction was investigated when phase insulators in the state of Dirac fermion and Weyl fermion were exposed to CO2 gas. Although the sensitivity of the phase isolator has decreased as Weyl fermion makes spin current in the gas environment, the sensitivity of the phase isolator has increased as Dirac fermion makes charge current in the gas environment. The spin current of the Dirac fermion has a super current characteristic with a resistance of zero and quantum tunneling phenomenon has occurred. According to Lenz's energy conservation law, the electron sensor has an advantage of the phase insulator in the state of Dirac fermion, where the charge current increases. in an environment with gas. Spin current shows a rapid increase in charge current in an environment with gas. Based on the Lenz plane, the charge current in the Weyl fermion state is moving in the direction of spin current in the gas environment according to the energy conservation law of the electric eld and the magnetic eld. The spin current in a relatively Dirac fermion state is moving in the direction of the charge current in the gas environment. If the environment changes due to gas, it can be seen that electronic energy is changing as the charge current and spin current are balanced according to Lenz's energy conservation law.


Introduction
The study of superconductors operating on the basis of magnetic energy is mainly dealt with in the eld of spintronics and is classi ed as a twoclass superconductor. The study of superconductors began in 1911 when mercury was observed to be resistance zero by the Onnes of the Netherlands, and the principle of operation of superconductors was found to be BCS theory. In 1957, the BCS theory explained the superconductor theoretically with two pairs of electronic coopers consisting of reverse spin direction. In order to con rm superconductivity, the resistance must be demonstrated to be zero, to prevent the moving of electrons and to appear the moving of spins, Meissner effect (resistance R=0) occurs in a strong magnetic eld and at very low temperatures. 1,2 In superconductors, there are many materials that have emerged as semiconductor technology has developed. The theory of copper-based semi-conductors in 1987 and iron-based superconductors in 2006 is described as spin-density wave (SDW).
A superconductor that has been studied recently is a phase insulator. Phase insulators are internal insulators, but surface currents ow from the surface. To become a topological insulator, a small, thin 2D structure and magnetic eld and low temperature are required. [3][4][5] By using semiconductor-speci c process technology, it can be made from a large area of material. The same material also increases its energy electromagnetic as its surface area widens. Thus, the topological insulator has superconductivity without magnetic eld due to its structural effect with a large area.
Therefore, topological insulators have high surface energy, so the electronic energy relationships and differences of common insulators appear.
Typically, topological insulators exhibit superconductivity without a magnetic eld. This is called the Anomalous Quantum Hall Effect (AQHE). The surface current of the phase insulator starts from the kinetic energy of the spin rotation by the kinetic momentum of the electron. The magnetic eld is generated by the electro-momentum and spin motion, and magnetic energy forms a spin current. [6][7][8] The spin current is the charge surface current at the surface. By the Maxwell equation and the Stock's law, the topological insulator is an insulator, but a surface current is generated. The spin current is not a leakage current, but a super current. Normal insulators become leakage currents because spin currents cannot occur.
The electron and spin are related to the matter and the antimatter. The electron, which is the matter, makes the charge current, and the spin, which is the antimatter, makes the spin current. [9][10][11][12] Matters and antimatters have the same physical quantity physically and chemically, but have a relationship of chiral symmetry, with opposite polarity electrically. Therefore, the charge current and spin current are opposite in polarity. The charge current has a + resistance in the eld, and the spin current shows a negative resistance in the magnetic eld. The spin current of the topological insulator is negative resistance characteristic and there is no loss of thermal resistance, so the super current ows. [13][14][15][16] Thus the topological insulator is an insulator, but it is the principle of current ow. Studies of insulators have led to studies of schottky contact and low-k materials, [17][18][19] and recently reported that low-k materials are phase insulators. 3 There has been a lot of research in the past on the cause of the increase in current values due to schottky contact. Schottky contact is caused by a depletion layer that occurs in the interface of semiconductor PN junction, and it is a good environment for schottky contact to make spin current, so it is highly likely that super current will be created. [20][21] Schottky resistance by schottky contact is the opposite concept of ohmic resistance. Low-k material produces spin current from a material that implements a schottky contact, so low-k makes it 10 times faster than normal OTFT movement. 22 The matters and antimatters that make up the phase insulator include Majorana fermion, Dirac fermion and Weyl fermion. The Weyl fermion appears in conductive materials, and the Majorana fermion and Dirac fermion, which appear in insulating materials, have characteristics that are so common that it is hard to distinguish.
Since electronic energy is preserved from the kinetic energy of electrons and spins, the energy conservation laws of matters and antimatters are preserved. Matters and antimatters have a symmetrical plane. [23][24] It is due to the law of Lenz that the energy of the electric eld and the magnetic eld can be preserved. For Lenz's energy conservation law to be possible, there is a symmetric plane in which energy is converted in the symmetry relationship between electrons and spins. Electrical symmetry plane is positive and negative resistance, and is a function of temperature. Electric elds are positive resistance areas with charge currents, and magnetic elds are negative resistance areas with spin currents. Tesla's cold electricity works in the negative eld by energy conservation law of Lenz. 25 In the equation of Dirac, the negative resistance region is like the sea of Dirac, which means magnetic energy, and has two-dimensional wave energy.
In this study, it was studied the principle of making topological insulator and the negative resistance characteristic from the generation of spin current and the supercurrent being made.

Experimental Processes
A p-type silicon wafer with SiO 2 was used as a substrate, and SiO 2 thin lm was deposited by magnetron sputtering method, supplying 25 sccm and 30 sccm of argon gas on top of it. After deposition of SiO 2 thin lm, ZTO was treated for 10 minutes with Ar=20 sccm, and the effect of varying conductivity was investigated as the electrical characteristics of ZTO/SiO 2 thin. And the correlation between conductivity and the depletion layer formed in the semiconductor junction was studied. The change in charge amount was investigated by measuring capacitance, and the currentvoltage characteristics were investigated to compare and analyze the correlation between capacitance and spin current. To examine the contact characteristics of quantum tunneling transistors operated by spin currents, the transfer characteristics of the ZTO/SiO 2 TFTs were measured. To researched the difference between Majorana fermion and Dirac fermion, the quantum tunneling phenomenon of transistors owing to the reaction between matters and antimatters was measured.

Results And Discussion
Matters and antimatters have electro-magnetic energy composed of electric eld and magnetic eld by electron matters and spin antimatters. In Figure 1, matters are three-dimensional structures, and the antimatters are obtained from two-dimensional structures. The study of matters and antimatters has developed into classical mechanics that study matter and quantum mechanics that study the state of matter. The energy conservation law is maintained because it has the same energy value although the three dimensional kinetic energy (E=mc2) and two dimensional wave energy (E=hγ). As the dimension changes, the plane of symmetry changes. In accordance with the Lenz Act, which is the energy conservation law of the electric eld and the magnetic eld, the Lenz plane, which becomes the reference plane where the electric eld and the magnetic energy are symmetrical, is the threshold voltage in three dimensions. It is Weyl fermion that the energy moves in one direction according to the threshold voltage. Dirac fermion and Majorana fermion are energy state that follow the Dirac function, which are treated in two-dimensional quantum mechanics. The two-dimensional Dirac function is symmetrical, and the criterion of symmetry is Fermi-level. Electrically, if the fermi-level and the Lenz plane are in the same position, the energy is in the Majorana fermion state. However, it is di cult to make in the case of Majorana fermion, and most of the energy is in the state of Dirac fermion or Weyl fermion.
Matters and antimatters have electro-magnetic energy composed of electric eld and magnetic eld by electron matters and spin antimatters. In Figure 1, matters are three-dimensional structures, and the antimatters are obtained from two-dimensional structures. The study of matters and antimatters has developed into classical mechanics that study matter and quantum mechanics that study the state of matter. The energy conservation law is maintained because it has the same energy value although the three dimensional kinetic energy (E=mc2) and two dimensional wave energy (E=hγ). As the dimension changes, the plane of symmetry changes. In accordance with the Lenz Act, which is the energy conservation law of the electric eld and the magnetic eld, the Lenz plane, which becomes the reference plane where the electric eld and the magnetic energy are symmetrical, is the threshold voltage in three dimensions. It is Weyl fermion that the energy moves in one direction according to the threshold voltage. Dirac fermion and Majorana fermion are energy state that follow the Dirac function, which are treated in two-dimensional quantum mechanics. The two-dimensional Dirac function is symmetrical, and the criterion of symmetry is Fermi-level. Electrically, if the fermi-level and the Lenz plane are in the same position, the energy is in the Majorana fermion state. However, it is di cult to make in the case of Majorana fermion, and most of the energy is in the state of Dirac fermion or Weyl fermion.
The depletion layer is caused by two PN junctions, and the depletion layer creates a schottky contact. As shown in Figure 3, the schottky contact is caused by magnetic eld energy generated by the potential barrier. The spin current produced by magnetic energy is two-dimensional structure, including both positive (+) directional current and negative (-) directional current. Figure 4 illustrates the formation of the schottky contact and spin current. SiO2 insulation lm is made, which shows a difference in the characteristics of the current. Figure 4(a) also shows a difference in capacitance. The capacitance value of SiO2 (Ar=25 sccm) insulating lm with high current ow is also high. Figure 4(b) shows that the schottky contact was formed on SiO2 (Ar=25 sccm) insulation lm, but the spin current is owing on the SiO2 (Ar=30 sccm) insulation lm. The depletion layer is caused by two PN junctions, and the depletion layer creates a schottky contact. As shown in Figure 3, the schottky contact is caused by magnetic eld energy generated by the potential barrier. The spin current produced by magnetic energy is two-dimensional structure, including both positive (+) directional current and negative (-) directional current. Figure 4 illustrates the formation of the schottky contact and spin current. SiO2 insulation lm is made, which shows a difference in the characteristics of the current. Figure 4(a) also shows a difference in capacitance. The capacitance value of SiO2 (Ar=25 sccm) insulating lm with high current ow is also high. Figure 4(b) shows that the schottky contact was formed on SiO2 (Ar=25 sccm) insulation lm, but the spin current is owing on the SiO2 (Ar=30 sccm) insulation lm. Figure 5 shows the transmission characteristics of transistors. Transistors with SiO2 (Ar=25 sccm) insulation lm as gate insulation lm have a high positive current, but transistors with SiO2 (Ar=30 sccm) insulation lm have a high negative current. In Figure 4(b), the TFT25 transistor showing the schottky contact is Weyl fermion and shows that the threshold voltage is moving as shown in gure 5(a). And it can be seen that the TFT30 transistor, where tunneling phenomena occur, is in the state of Dirac fermion as shown in gure 5(b).
Quantum tunneling phenomena are related to sensitivity. The current characteristics were investigated by injecting 100 sccm of CO2 gas from Weyl fermion and Dirac fermion.  show in TFT 25 that the charge current is shifted to the spin current in the gas environment. In the state of Weyl fermion, the current of charge is decreasing as the current of charge is created to match the energy of the electric eld and the magnetic eld by Lenz's law. Thus, CO 2 gas reactivity was reduced. However, gure 8(c) and gure 8(d) show that even in the gas environment, the spin current has changed little, and the charge current has increased signi cantly. Since the Dirac fermion's state is an area where supercurrent ows because the Lenz plane of the electric eld and the magnetic eld is identical, it can be seen that the spin current greatly increases the charge current above the threshold voltage as shown in Figure 4.
Spin and electrons are sources of making magnetic and electric elds, and according to Lenz's law, energy conservation laws are applied. Electron devices with high spin currents by applying the Dirac fermion state can be found to be advantageous for high-sensitivity electronic sensors because they generate a lot of charge currents when the environment changes.

Conclusions
The phase insulator using Renzi's energy conservation law has a state of Dirac fermion and a state of Weyl fermion. Majorana fermion is the intermediate state of Weyl fermion and Dirac fermion, indicating the energy state of matters and antimatters. Dirac fermion was observed to have supercurrent ow when the Weyl fermion was a schottky contact. The sensitivity in the gas environment was investigated by making Weyl fermion transistors and Dirac fermion transistors. The sensitivity in the gas environment was investigated by making a transistor of Weyl fermion and a transistor of Dirac fermion. As an energy conservation law in which the energy of electric eld and magnetic eld is symmetrical, the sensitivity of Weyl fermion transistor decreased as spin current was created in the gas environment according to Lenz's law. However, the Dirac fermion transistor has increased its sensitivity as it creates a charge current in a gas environment. Therefore, it can be seen that the phase insulator of Dirac fermion is advantageous to make a high-sensitivity sensor.

Declarations
Author contributions T. O. conceived the study. All authors designed the experiment(s), and analyzed the results. All authors discussed the results and contributed to writing the manuscript.
Competing interests. All other authors have no con ict of interest to declare.      Electric properties of ZTO/SiO2 lms with argon gas ow rates for deposited SiO2, (a) current and capacitance, (b) current characteristics.    Log scale of transfer characteristics of TFTs between without CO2 gas and CO2 gas environments, (a) current by Weyl fermion, (b) effect of Weyl fermion in CO2 gas condition, (c) current by Dirac fermion, (d) effect of Dirac fermion in CO2 gas condition.