论文标题
在一个维度上强烈相互作用电子的费米点的分裂：旋转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
论文作者
论文摘要
在使用Bethe Ansatz方法的强耦合方面，考虑了通过Hubbard模型描述的短距离电位相互作用的一维电子系统的系统。我们在零温度下研究其动量分布功能，并在$ 3K _ {\ mathrm {f}} $点上找到一个额外的奇异性。我们确定第二个奇异性与$ k _ {\ mathrm {f}} $的低能液体类型相同。通过同时计算频谱函数，我们表明，第二个Luttinger液体的价格为$ 3K _ {\ Mathrm {f}} $仅由电荷模式形成，与$ K _ {\ Mathrm {f}} $大约$ K _ {\ Mathrm {f}} $不同，由旋转和电荷模式组成。该结果揭示了自旋荷利分离效应将自由电子的费米亚点分为两个的能力，这表明其稳健性超出了最初发现的Luttinger液体的低能量极限。
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.
