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Phase Diagram of a Disordered Boson Hubbard Model in Two Dimensions

2001/08/31 by Ji-Woo Lee, Min-Chul Cha, Doochul Kim · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.dis-nn #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.1103/physrevlett.87.247006

4 pages, 4 figures, to be published in PRL

openalex publication_date 2001/11/26 · arxiv created 2001/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study the zero-temperature phase transition of a two-dimensional disordered boson Hubbard model. The phase diagram is constructed in terms of the disorder strength and the chemical potential. Via Monte Carlo simulations, we find a multicritical line separating the weak-disorder regime, where the Mott-insulator-to-superfluid transition occurs, from the strong-disorder regime, where the Bose-glass-to-superfluid transition occurs. On the multicritical line, the insulator-to-superfluid transition has the dynamical critical exponent z\phantom\rule0ex0ex=\phantom\rule0ex0ex1.35\ifmmode±\else\textpm\fi0.05 and the correlation length critical exponent \ensuremathν\phantom\rule0ex0ex=\phantom\rule0ex0ex0.67\ifmmode±\else\textpm\fi0.03. We suggest that the proliferation of the particle-hole pairs screens out the weak-disorder effects.

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