2006/03/31 by D. Benedetti, Dario Benedetti, R. Loll · 2 citations
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.stat-mech #gr-qc #hep-lat
paper · pdf · doi:10.1016/j.physa.2006.11.032
published as PhysicaA377:373-380,2007 · 10 pages, 4 figures; final, slightly amended version, to appear in Physica A
openalex publication_date 2006/12/06 · arxiv created 2006/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat surprisingly, graph-counting methods to extract high- or low-temperature series expansions can be adapted to this case. For the two-dimensional Ising model, we present evidence that this ameliorates the singularity structure of thermodynamic functions in the complex plane, and improves the convergence of the power series.