论文标题

在一维无序的量子流体中是否有莫特玻璃相和线性相互作用的相位?

Is there a Mott-glass phase in a one-dimensional disordered quantum fluid with linearly confining interactions?

论文作者

Dupuis, Nicolas

论文摘要

我们使用霍斯化和非扰动功能重新归一化组研究了具有线性限制相互作用(无序的Schwinger模型)的一维无序量子流体。我们发现,远距离相互作用使安德森绝缘子(或对于玻色子,玻色玻璃)固定点(对应于具有无间隙光学电导率的可压缩态),即使后者可以控制中等能量尺度的流量。稳定的固定点描述了一个不可压缩的基态,其光学电导率的间隙类似于Mott绝缘子。这些结果不同意预测莫特玻璃的高斯变异方法,即具有消失的可压缩性但无间隙光学电导率的状态。

We study a one-dimensional disordered quantum fluid with linearly confining interactions (disordered Schwinger model) using bosonization and the nonperturbative functional renormalization group. We find that the long-range interactions make the Anderson insulator (or, for bosons, the Bose-glass) fixed point (corresponding to a compressible state with a gapless optical conductivity) unstable, even if the latter may control the flow at intermediate energy scales. The stable fixed point describes an incompressible ground state with a gapped optical conductivity similar to a Mott insulator. These results disagree with the Gaussian variational method that predicts a Mott glass, namely a state with vanishing compressibility but a gapless optical conductivity.

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