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

Abstract

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.

v2) 6 pages, 3 figures

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Cited by in corpus (8)

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• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Chaos in the Bose-glass phase of a one-dimensional disordered Bose fluid
• Flowing bosonization in the nonperturbative functional renormalization-group approach
• Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas
• Theory and Experiments for Disordered Elastic Manifolds, Depinning, Avalanches, and Sandpiles
• From Bose glass to many-body localization in a one-dimensional disordered Bose gas