Superfluid–insulator transition in strongly disordered one-dimensional systems

Abstract

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