ELECTRON CORRELATIONS IN NARROW ENERGY BANDS
ELECTRON CORRELATIONS IN NARROW ENERGY BANDS
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DOI：
10.1098/rspa.1963.0204
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发表时间：
1963-01-01
影响因子：
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通讯作者：
HUBBARD, J
中科院分区：
文献类型：
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作者：
HUBBARD, J
本文指出，在In-and-F-band中关联现象的主要影响之一是引起原子或Heitler-London模型的行为特征。为了研究这种情况，一个简单的，近似模型的相互作用的电子在窄的能带。将Hartree-Fock近似应用于该模型的结果进行了检查。利用绿色函数技术，得到了该模型相关问题的近似解。该解具有在适当的极限下还原为精确原子解，在相反的极限下还原为普通的不相关带图像的性质。讨论了该溶液具有铁磁性的条件。为了澄清的物理意义的解决方案的两个电子的例子进行检查。
It is pointed out that one of the main effects of correlation phenomena ind- andf-bands is to give rise to behaviour characteristic of the atomic or Heitler-London model. To investigate this situation a simple, approximate model for the interaction of electrons in narrow energy bands is introduced. The results of applying the Hartree-Fock approximation to this model are examined. Using a Green function technique an approximate solution of the correlation problem for this model is obtained. This solution has the property of reducing to the exact atomic solution in the appropriate limit and to the ordinary uncorrelated band picture in the opposite limit. The condition for ferromagnetism of this solution is discussed. To clarify the physical meaning of the solution a two-electron example is examined.