English

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

Strongly Correlated Electrons 2016-04-21 v1 Disordered Systems and Neural Networks Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.1601.06185,
  title  = {Superfluid--Insulator Transition in Strongly Disordered One-dimensional Systems},
  author = {Zhiyuan Yao and Lode Pollet and Nikolay Prokof'ev and Boris Svistunov},
  journal= {arXiv preprint arXiv:1601.06185},
  year   = {2016}
}

Comments

12 pages, 4 figures

R2 v1 2026-06-22T12:35:13.605Z