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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Stoner criterion ： ウィキペディア英語版 Stoner criterion The Stoner criterion is a condition to be fulfilled for the ferromagnetic order to arise in a simplified model of a solid. It is named after Edmund Clifton Stoner. ==Stoner model of ferromagnetism== Ferromagnetism ultimately stems from electron-electron interactions. The simplified model of a solid which is nowadays usually called the Stoner model, can be formulated in terms of dispersion relations for spin up and spin down electrons, :$$ E_\uparrow(k)=\epsilon(k)-I\frac,\qquad E_\downarrow(k)=\epsilon(k)+I\frac, where the second term accounts for the exchange energy, $N\_\backslash uparrow/N$ ($N\_\backslash downarrow/N$) is the dimensionless density() of spin up (down) electrons and $\backslash epsilon(k)$ is the dispersion relation of spinless electrons where the electron-electron interaction is disregarded. If $N\_\backslash uparrow$ +N_\downarrow is fixed, $E\_\backslash uparrow(k),\; E\_\backslash downarrow(k)$ can be used to calculate the total energy of the system as a function of its polarization $P=(N\_\backslash uparrow-N\_\backslash downarrow)/N$. If the lowest total energy is found for P=0, the system prefers to remain paramagnetic but for larger values of I, polarized ground states occur. It can be shown that for :$$ ID(E_F) > 1 the P=0 state will spontaneously pass into a polarized one. This is the Stoner criterion, expressed in terms of the P=0 density of states() at the Fermi level $D(E\_F)$. Note that a non-zero P state may be favoured over P=0 even before the Stoner criterion is fulfilled. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Stoner criterion」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.