Skill Mion

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In solid-state physics, skill Mion [¹] (British: with skyrmion [ˈskɜːrmi.ɒn], scar Mion ^[2]) means the model of the topologically unusual vortex to occur in the consecutive places. Because each behaves like a particle, I can see this whirlpool with quasiparticle with limited mass [³]. For 1,962 years, was devised by Tony スカーム (English version) to explain quantum stack alignment and a resonance state of the baryon [^{note 1}]; [⁴]. It was foretold from atomic nucleus properties of matter [⁵]. This model is like higher mathematics and is non-linear by a mathematical request explicitly. Originally it is started from high energy physics, but it is applied in solid physics now and collects interest from the field of information technology. Skill Mion of Bose = Einstein condensation body [⁶], superconductor [⁷], magnetic film [⁸], カイラルネマティック liquid crystal [⁹] is reported, but is not the thing which I got of the conclusive evidence conclusively [the ^{source required}].

Table of contents

Summary

The skill Mion model models fermion (nucleon) as special soliton arising from the boson ground (non-linear classic ground to explain strong interaction by the exchange of the mesotron); [¹⁰] [¹¹] [¹²] [¹³]. In the early 1980s, I was proposed with work of Edward Witten and the famous bag model (I refer to the item of Kenneth, Andrew Johnson (German version)) independently and I connected it with quantum Hall effect and was argued. Skill Mion in the surface, interface magnetism system is discovered now [¹⁴]; [¹⁵].

In the field of solid-state physics particularly the development remarkable spintronics technology, spin placement non-self-evident topologically called magnetic skill Mion attracts attention. It is the spin placement that is provided when two-dimensional magnetic skill Mion performs, for example, stereo projection of three-dimensional spin "hedgehog (hedgehog)" [^{note 2}]. In other words, have downward South Pole spin with ascending North Pole spin in the center point of Japanese yen in the fringe domain of Japanese yen; is distributed [¹⁶].

When a magnetic field placed a chiral magnetic body under it, a thing of the size of around several thousand electronic spins is known to produce magnetic skill Mion. Because can move the microbest solid freely, and the possibility that can control it was shown without hardly starting a Joule heat, application as the nonvolatile memory to realize low power consumption and high density implementation is expected [¹⁷]; [¹⁸].

Mathematical definition

In the field theory, skill Mion is the classic solution which is non-self-evident for homoTopy for the non-linear sigma model of the non-self-evident target manifold topology. Therefore, skill Mion is topologic soliton. Examples include chiral model (English version) [^{note 3}] of the mesotron. In this case the target manifold is homogeneous space of the next structure group.

${\displaystyle \left({\frac {\mathrm {SU} (N)_{\mathrm {L} }\times \mathrm {SU} (N)_{\mathrm {R} }}{\mathrm {SU} (N)_{\text{diag}}}}\right)}$ 

Here SU(N)_L and SU(N)_R of the SU(N) line is the left part and the right part each, and SU(N)_diag is opposite angle subgroup (English version).

When space-time has topological S³ X R, the classic placement is classified in integer number of revolutions [^{note 4}]. This is homoTopy group of Miyoshi

${\displaystyle \pi _{3}\left({\frac {\mathrm {SU} (N)_{\mathrm {L} }\times \mathrm {SU} (N)_{\mathrm {R} }}{\mathrm {SU} (N)_{\text{diag}}}}\cong \mathrm {SU} (N)\right)}$ 

But, this is because it is equivalent with the ring of the integer. Here, the equal sign means the phase same model.

A topologic clause may be added to chiral raglan sleeves diAnn, and the integral calculus depends only on homoTopy then. As a result, a super choice sector occurs in the quantized model. Skill Mion can be similar as soliton of the signature ゴルドン equation (English version). With mass, it becomes the fermion interacting according to a schilling model (English version) when I quantize it by the Bethe temporary construction (English version) others.

Magnetic body, data recording medium

The details refer to "magnetic skill Mion"

In the chiral magnetic body which Diallo since key, Moriya interaction (English version) plays an important role in, magnetic skill Mion is known to appear without having an inversion symmetry. The size of this skill Mion is 1,200nm [the ^{source required}] degree from 1nm (example in case of iron on Ir (111)) [¹⁹]. As a result of study, I can read and write skill Mion by a scanning tunnel microscope [²⁰]. From littleness of magnetic skill Mion and lower energy consumption, the future application to the data recording medium of the form representing "1" and "0" of the bit and other spintronics devices is expected by topology Cal charge representing the living-in-absence of skill Mion [²¹]; [²²] [²³]. There is the report of stable skill Mion in room temperature [²⁴]; [²⁵].

Outside link

• "Developments in Magnetic Skyrmions Come in Bunches" (English). IEEE Spectrum（English version) (2015). September 24, 2016 reading.

• Christian Schüller. "Ultraschnelle Exzitonendynamik am Quanten-Hall-Ferromagneten." (German). Regensburg University (German version). It archives it than an original as of October 6, 2007. September 27, 2016 reading.
• "Skyrmionen im Spingitter" (German). Pro-Physik (February 13, 2009). September 27, 2016 reading.
• FDTD Skyrmion simulation in calculating pixel space - YouTube

Footnote

1. The model who was connected with a mesotron appeared afterwards ^.
2. Singular point of homoTopy 1 called the ブロッホ point of number +1 coating in ^ micro magnetics
3. A verge between the left skill and the right skill is emphasized with the ^ chiral model.
4. A classification like ^ fulfills an effective spin "hedgehog singular point". As for the upper spin, the lower spin sets out for the South Pole at the North Pole. I refer to Döring (1968).

Source

1. ^ "skill Mion." Technology term information. Technology promotion mechanism. September 28, 2016 reading.
2. ^ Ezawa Masahiko. "Topology Cal structure in a magnetic body". Tokyo University. September 28, 2016 reading.
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4. ^ Wong, Stephen (2002). It is arXiv:hep-ph/0202250 [hep/ph]. "What exactly is a Skyrmion?" 
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    Christian Pfleiderer (2013). "Wirbel um Spinwirbel" (German). Physik Journal (10): 20–21. 
    
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18. In ^ "a very small magnetic whirlpool storage cell." The Nihon Keizai Shimbun: p. 17. (March 8, 2015) 
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