Superfluid--Insulator Transition in Strongly Disordered One-dimensional Systems

Abstract

We present an asymptotically exact renormalization-group theory of the superfluid--insulator transition in one-dimensional disordered systems, with emphasis on an accurate description of the interplay between the Giamarchi--Schulz (instanton--anti-instanton) and weak-link (scratched-XY) criticalities. Combining the theory with extensive quantum Monte Carlo simulations allows us to shed new light on the ground-state phase diagram of the one-dimensional disordered Bose-Hubbard model at unit filling.

12 pages, 4 figures

References in corpus (3)

• Phase transition of one dimensional bosons with strong disorder
• The insulating phases and superfluid-insulator transition of disordered boson chains
• Superfluid density and quasi-long-range order in the one-dimensional disordered Bose-Hubbard model

Cited by in corpus (11)

• Kosterlitz-Thouless scaling at many-body localization phase transitions
• Weak Versus Strong Disorder Superfluid-Bose Glass Transition in One Dimension
• Many-body localization of spinless fermions with attractive interactions in one dimension
• Bose-glass phase of a one-dimensional disordered Bose fluid: metastable states, quantum tunneling and droplets
• Supertransport by Superclimbing Dislocations in ${}^4$He: When All Dimensions Matter
• Finding the phase diagram of strongly-correlated disordered bosons using quantum quenches
• Quench Spectroscopy of a Disordered Quantum System
• Kane-Fisher weak link physics in the clean scratched-XY model
• Full distribution of the superfluid fraction and extreme value statistics in a one dimensional disordered Bose gas
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Strong randomness criticality in the scratched-XY model