Dynamic response of one-dimensional interacting fermions.
Dynamic response of one-dimensional interacting fermions.
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DOI：
10.1103/physrevlett.96.196405
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发表时间：
2006-03
影响因子：
8.6
通讯作者：
M. Pustilnik;M. Khodas;A. Kamenev;L. Glazman
中科院分区：
文献类型：
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作者：
M. Pustilnik;M. Khodas;A. Kamenev;L. Glazman
我们计算了具有非线性色散关系的一维无自旋费米子相互作用的动态结构因子S(q，omega)。非线性色散和相互作用的综合作用导致了S(Q，欧米伽)的新的普遍特征。作为Tomonaga-Luttinger模型的特征，尖峰S(Q，欧米伽)大约Q(增量(欧米伽-UQ))向上展宽；对于固定的，在任意大的情况下变得有限。然而，主谱权被限制在宽度约为Q(2)/m的一个窄的频率区间内，在这个区间的边界上，结构因子呈现出指数依赖于相互作用强度和波数Q的幂函数奇异性。
We evaluate the dynamic structure factor S(q, omega) of interacting one-dimensional spinless fermions with a nonlinear dispersion relation. The combined effect of the nonlinear dispersion and of the interactions leads to new universal features of S(q, omega). The sharp peak S(q, omega) approximately q(delta(omega -uq), characteristic for the Tomonaga-Luttinger model, broadens up; for a fixed becomes finite at arbitrarily large . The main spectral weight, however, is confined to a narrow frequency interval of the width deltaomega approximately q(2)/m. At the boundaries of this interval the structure factor exhibits power-law singularities with exponents depending on the interaction strength and on the wave number q.