Hierarchy of modes in an interacting one-dimensional system.
Hierarchy of modes in an interacting one-dimensional system.
复制标题
交互一维系统中的模式层次结构。
DOI：
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发表时间：
2014
影响因子：
8.6
通讯作者：
D. Ritchie
中科院分区：
文献类型：
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作者：
O. Tsyplyatyev;A. J. Schofield;Y. Jin;M. Moreno;W. K. Tan;C. Ford;J. Griffiths;I. Farrer;G. Jones;D. Ritchie
在一维高能相互作用费米子的研究中，我们发现了一个层次的光谱权重的激发理论，我们观察到的第二级激发的实验证据。对角化一个费米子模型（没有自旋），我们证明了层次结构的能级由R^{2}/L^{2}的幂分开，其中R是与相互作用相关的长度尺度，L是系统长度。第一级（最强）激发形成一个抛物线色散模式，就像一个重整化的单粒子。第二级激励产生一个奇异的幂律线形的第一级模式和多个幂律的频谱边缘。我们测量动量分辨隧穿的电子（费米子自旋）从或到一个线内形成的GaAs异质结构，这表明抛物线色散的第一级模式和良好的解决自旋-电荷分离在低能量与可观的相互作用强度。我们发现了类似于第二级激发的结构，这种结构在高动量下很快消失。
Studying interacting fermions in one dimension at high energy, we find a hierarchy in the spectral weights of the excitations theoretically, and we observe evidence for second-level excitations experimentally. Diagonalizing a model of fermions (without spin), we show that levels of the hierarchy are separated by powers of R^{2}/L^{2}, where R is a length scale related to interactions and L is the system length. The first-level (strongest) excitations form a mode with parabolic dispersion, like that of a renormalized single particle. The second-level excitations produce a singular power-law line shape to the first-level mode and multiple power laws at the spectral edge. We measure momentum-resolved tunneling of electrons (fermions with spin) from or to a wire formed within a GaAs heterostructure, which shows parabolic dispersion of the first-level mode and well-resolved spin-charge separation at low energy with appreciable interaction strength. We find structure resembling the second-level excitations, which dies away quite rapidly at high momentum.