Mott-glass phase induced by long-range correlated disorder in a one-dimensional Bose gas

Abstract

We determine the phase diagram of a one-dimensional Bose gas in the presence of disorder with short- and long-range correlations, the latter decaying with distance as $1/|x{|}^{1+\sigma }$. When $\sigma <0$, the Berezinskii-Kosterlitz-Thouless transition between the superfluid and the localized phase is driven by the long-range correlations and the Luttinger parameter $K$ takes the critical value $K_c(\sigma )=3/2-\sigma /2$. The localized phase is a Bose glass for $\sigma >{\sigma }_c=3-{\pi }^2/3\simeq -0.289868$, and a Mott glass -- characterized by a vanishing compressibility and a gapless conductivity -- when $\sigma <{\sigma }_c$. Our conclusions, based on the nonperturbative functional renormalization group and perturbative renormalization group, are confirmed by the study of the case $\sigma =-1$, corresponding to a perfectly correlated disorder in space, where the model is exactly solvable in the semiclassical limit $K\to 0^{+}$.

v2) 7+7 pages, 4 figures

References in corpus (38)

• Exact evolution equation for the effective potential
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• The Exact Renormalisation Group and Approximate Solutions
• Exploring the many-body localization transition in two dimensions
• The nonperturbative functional renormalization group and its applications
• Long-range interacting quantum systems
• Flow Equations for N Point Functions and Bound States
• Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
• Enhancement of localization in one-dimensional random potentials with long-range correlations
• Many-body delocalization in the presence of a quantum bath
• Signatures of bath-induced quantum avalanches in a many-body--localized system
• The Large Scale Energy Landscapes of Randomly Pinned Objects
• Competition of random and periodic potentials in interacting fermionic systems and classical equivalents: the Mott Glass
• Site-diluted three dimensional Ising Model with long-range correlated disorder
• Random-field Ising and $O(N)$ models: Theoretical description through the functional renormalization group
• A possible new phase of commensurate insulators with disorder: the Mott Glass
• Mott insulator phases and first-order melting in BSCCO crystals with periodic surface holes
• Localization of Elastic Layers by Correlated Disorder
• Elastic systems with correlated disorder: Response to tilt and application to surface growth
• Statics and dynamics of elastic manifolds in media with long-range correlated disorder
• Long-range correlated random field and random anisotropy O(N) models: A functional renormalization group study
• New Quantum Transition in Weyl Semimetals with Correlated Disorder
• Critical behavior of the 2D Ising model with long-range correlated disorder
• Two dimensional Dirac fermions in the presence of long-range correlated disorder
• Long-range-correlated disorder in graphene
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Glassy properties of the Bose-glass phase of a one-dimensional disordered Bose fluid
• Critical behavior of the Random-Field Ising Magnet with long range correlated disorder
• Mott-glass phase of a one-dimensional quantum fluid with long-range interactions
• Tailoring Anderson localization by disorder correlations in 1D speckle potentials
• Pinning of Flux Lines by Planar Defects
• Chaos in the Bose-glass phase of a one-dimensional disordered Bose fluid
• Is there a Mott-glass phase in a one-dimensional disordered quantum fluid with linearly confining interactions?
• Mott glass from localization and confinement
• Long-range quenched bond disorder in the bi-dimensional Potts model
• The Effect of Randomness on the Mott State
• Non-Gaussian tail in the force distribution: A hallmark of correlated disorder in the host media of elastic objects

Cited by in corpus (2)

• From Bose glass to many-body localization in a one-dimensional disordered Bose gas
• The quantum $p$-spin renormalization group in the large $N$ limit as a benchmark for functional renormalization group