2004/01/14 by Fabien Alet, Erik S. Sørensen, Erik S. Sorensen · 1 citation
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Current (fluid) #Energy (signal processing) #Hubbard model #Limit (mathematics) #Mathematical analysis #Mathematics #Order (exchange) #Phase (matter) #Phase transition #Physics #Quantum many-body systems #Quantum mechanics #Quantum, superfluid, helium dynamics #Relevance (law) #Representation (politics) #Statistical physics #Superconductivity #Theoretical physics #Thermodynamics #cond-mat.str-el #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.70.024513
published as Phys. Rev. B 70, 024513 (2004) · 13 pages, 10 figures
arxiv created 2004/01/14 · openalex publication_date 2004/07/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The generic transition in the boson Hubbard model, occurring at an incommensurate chemical potential, is studied in the link-current representation using the recently developed directed geometrical worm algorithm. We find clear evidence for a multipeak structure in the energy distribution for finite lattices, usually indicative of a first-order phase transition. However, this multipeak structure is shown to disappear in the thermodynamic limit, revealing that the true phase transition is second order. These findings cast doubts over the conclusion drawn in a number of previous works considering the relevance of disorder at this transition.