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Superfluid-Insulator Transition in a Commensurate One-Dimensional Bosonic System with Off-Diagonal Disorder

2004/09/30 by Karén G. Balabanyan, Nikolay Prokof’ev, Nikolay Prokof'ev +1 · 1 citation
Mathematics · Physics and Astronomy · #Boson #Bosonization #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Diagonal #Fermion #Mathematics #Monte Carlo method #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Randomness #Renormalization group #Statistical physics #Superfluidity #Universality (dynamical systems) #cond-mat.dis-nn #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.95.055701

published as Phys. Rev. Lett. 95, 055701 (2005) · 4 pages, 4 figures. Typo in figure 4 of ver. 3 is corrected

arxiv created 2005/05/04 · openalex publication_date 2005/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the nature of the superfluid-insulator quantum phase transition in a one-dimensional system of lattice bosons with off-diagonal disorder in the limit of a large integer filling factor. Monte Carlo simulations of two strongly disordered models show that the universality class of the transition in question is the same as that of the superfluid-Mott-insulator transition in a pure system. This result can be explained by disorder self-averaging in the superfluid phase and the applicability of the standard quantum hydrodynamic action. We also formulate the necessary conditions which should be satisfied by the stong-randomness universality class, if one exists.

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