论文标题
Luttinger液体中状态状态密度的增强 - 非本地相互作用的作用
Enhancement in tunneling density of states in Luttinger liquid -- role of non-local interaction
论文作者
论文摘要
零能量极限中局部电子隧道密度的功率定律抑制是相互作用的1-D电子系统的Luttinger液体（LL）相的标志。我们提出了一个理论模型，该模型具有LL状态具有令人惊讶的增强特征而不是抑制局部TDO的特征，而不是源自非本地和排斥密度密度相互作用的局部TDO。重要的是，我们在参数空间的流形中发现了TDOS的增强，其中系统在重新归一化组（RG）意义上是稳定的。我们认为，只有在系统破坏了局部TDOS增强位置的平等对称性时，才有可能增强TDO和RG稳定性。这种模型可以在双层量子厅系统的边缘状态下实现，其中层内和层间密度密度相互作用都在模仿局部和非局部相互作用的作用。
Power law suppression of local electronic tunneling density of states (TDOS) in the zero-energy limit is a hallmark of Luttinger liquid (LL) phase of the interacting 1-D electron system. We present a theoretical model which hosts LL state with the surprising feature of enhancement rather than suppression in local TDOS originating from non-local and repulsive density-density interactions. Importantly, we find enhancement of TDOS in the manifold of parameter space where the system is stable in the renormalization group (RG) sense. We argue that enhancement of TDOS along with RG stability is possible only when the system has broken parity symmetry about the position of local TDOS enhancement. Such a model could be realized on the edge states of a bi-layer quantum Hall system where both intra-layer and inter-layer density-density interactions are present mimicking the role of local and non-local interactions respectively.
