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arXiv 1503.04934cond-mat.str-el
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强磁场中的哈伯德模型:强电子关联引起的低频量子振荡

The Hubbard model in strong magnetic field: Low-frequency quantum oscillations due to strong electron correlations

A. Sherman

摘要:

利用强耦合图技术计算了垂直均匀磁场中二维费米子哈伯德模型的态密度。费米能级上的态密度随磁感应强度的变化而振荡,随着半填充偏差从小到中等的变化,振荡频率增加一个数量级。这种频率变化是由对密度有贡献的朗道子带的变化引起的--在前一种情况下,它们位于朗道谱的外围,而在后一种情况下,主要贡献由靠近其中心的带提供。随着感应的变化,这些带组的行为不同。对于半填充的小偏差,计算出的振荡频率与在钇铜酸盐的量子振荡实验中观察到的振荡频率相当。

英文摘要:

The density of states of the two-dimensional fermionic Hubbard model in the perpendicular homogeneous magnetic field is calculated using the strong coupling diagram technique. The density of states at the Fermi level as a function of the inverse magnetic induction oscillates, and the frequency of these oscillations increases by an order of magnitude with the change of the deviation from half-filling from small to moderate values. This frequency variation is caused by the change of Landau subbands contributing to the density -- in the former case they are at the periphery of the Landau spectrum, while in the latter case the dominant contribution is provided by bands near its center. With changing induction these groups of bands behave differently. For small deviations from half-filling the calculated oscillation frequency is comparable to that observed in quantum oscillation experiments in yttrium cuprates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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