Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
Momentum-dependent power law measured in an interacting quantum wire beyond the Luttinger limit
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DOI：
10.1038/s41467-019-10613-2
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发表时间：
2019-06-27
影响因子：
16.6
通讯作者：
Ford, C. J. B.
中科院分区：
文献类型：
--
作者：
Jin, Y.;Tsyplyatyev, O.;Ford, C. J. B.
直到现在，物理学中的幂律一直与尺度不变性联系在一起，这种不变性源于长度尺度的缺失。最近，即使在存在长度尺度的情况下，新发展的非线性Luttinger液体理论已经预测了在有限能量和动量下的一维（1D）量子流体的涌现不变性，其中粒子的波长提供长度尺度。我们目前的实验证据，这种新型的幂律在量子线中的相互作用的电子的光谱功能，使用运输光谱技术。在高能区观察到的幂律动量依赖性与理论预测相匹配，不仅支持了超越线性区域的相互作用粒子的一维理论，而且还支持了在有限能量和动量下出现的新型普适性的存在。
Power laws in physics have until now always been associated with a scale invariance originating from the absence of a length scale. Recently, an emergent invariance even in the presence of a length scale has been predicted by the newly-developed nonlinear-Luttinger-liquid theory for a one-dimensional (1D) quantum fluid at finite energy and momentum, at which the particle's wavelength provides the length scale. We present experimental evidence for this new type of power law in the spectral function of interacting electrons in a quantum wire using a transport-spectroscopy technique. The observed momentum dependence of the power law in the high-energy region matches the theoretical predictions, supporting not only the 1D theory of interacting particles beyond the linear regime but also the existence of a new type of universality that emerges at finite energy and momentum.