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arXiv 2203.00982cond-mat.str-el
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一维强相互作用电子费米点的分裂:自旋-电荷分离的非线性效应

Splitting of Fermi point of strongly interacting electrons in one dimension: A nonlinear effect of spin-charge separation

O. Tsyplyatyev

摘要:

利用Bethe近似,在强耦合区研究了一维电子通过哈伯德模型描述的短程势相互作用系统.我们研究了它在零温度下的动量分布函数,并在$3k_{\mathrm{F}}$点发现了一个额外的奇点。我们确定,第二个奇点是相同的Luttinger液体类型的低能量之一,在$k_{\mathrm{F}}$。通过同时计算谱函数,我们发现在$3k_{\mathrm{F}}$处的第二种Luttinger液体是由电荷模形成的,而不像已知的$k_{\mathrm{F}}$周围的Luttinger液体是由自旋和电荷模组成的.这一结果揭示了自旋-电荷分离效应将自由电子的费米点一分为二的能力,证明了它的鲁棒性超出了最初发现它的Luttinger液体的低能极限。

英文摘要:

A system of one-dimensional electrons interacting via a short-range potential described by Hubbard model is considered in the regime of strong coupling using the Bethe ansatz approach. We study its momentum distribution function at zero temperature and find one additional singularity, at the $3k_{\mathrm{F}}$ point. We identify that the second singularity is of the same Luttinger liquid type as the low-energy one at $k_{\mathrm{F}}$. By calculating the spectral function simultaneously, we show that the second Luttinger liquid at $3k_{\mathrm{F}}$ is formed by charge modes only, unlike the known one around $k_{\mathrm{F}}$ consisting of both spin and charge modes. This result reveals the ability of the spin-charge separation effect to split the Fermi point of free electrons into two, demonstrating its robustness beyond the low-energy limit of Luttinger liquid where it was originally found.

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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