Charge-spin separation and the spectral properties of Luttinger liquids.
Charge-spin separation and the spectral properties of Luttinger liquids.
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DOI：
10.1103/physrevb.47.6740
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发表时间：
1993-03
期刊：
影响因子：
--
通讯作者：
J. Voit
中科院分区：
文献类型：
--
作者：
J. Voit
我们计算了一维勒廷格模型的谱函数p(q，ω)。我们讨论了电荷-自旋分离和费米子算符反常维度的不同影响，以及它们随关联强度的演化。电荷-自旋分离在υσq和υp q之间的频率上表现为有限的谱重，其中υp和υσ是电荷和自旋涨落的速度，而高于υp q和低于υp q的谱重是通过相互作用在±kF处的费米面的杂化而产生的。在这些频谱频率上存在非普适的幂定律奇点。我们讨论了最近在低维导体上的光电子发射实验与Luttinger液体图像的一致性，这将表明非常强的长程相互作用。
We compute the spectral function p(q, ω) of the one-dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with correlation strength. Charge-spin separation shows up in finite spectral weight at frequencies between υσ q and υp q where υ p and υσ are the velocities of charge and spin fluctuations, while spectral weight above υp q and below -υp q is generated by the hybridization of the Fermi surface at ±k F by interactions. There are nonuniversal power-law singularities at these spectral frequencies. We discuss the consistency of recent photoemission experiments on low-dimensional conductors with a Luttinger liquid picture which then would suggest very strong long range interactions.