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.

中文翻译：

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一维无序量子流体中是否存在具有线性约束相互作用的莫特玻璃相？

我们使用玻色化和非扰动功能重整化组研究了具有线性约束相互作用（无序Schwinger模型）的一维无序量子流体。我们发现，远距离相互作用会使安德森-绝缘子（或玻色子，玻色子）的固定点（对应于具有无隙光导率的可压缩状态）不稳定，即使后者可以控制中间的流动能量秤。稳定的固定点描述了一种不可压缩的基态，其具有类似于莫特绝缘子的带隙光导率。这些结果与预测莫特玻璃的高斯变分方法不同，高斯变分法是一种压缩性消失但光导率无间隙的状态。