Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model

We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose–Hubbard model, and the divergence exponents of its one- and two-particle correlation functions. We find that at the multicritical points all diverg...

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Bibliographic Details
Published in:New Journal of Physics
Main Authors: Sören Sanders, Martin Holthaus
Format: Article
Language:English
Published: IOP Publishing 2017-01-01
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa9165
Description
Summary:We study the connection between the exponent of the order parameter of the Mott insulator-to-superfluid transition occurring in the two-dimensional Bose–Hubbard model, and the divergence exponents of its one- and two-particle correlation functions. We find that at the multicritical points all divergence exponents are related to each other, allowing us to express the critical exponent in terms of one single divergence exponent. This approach correctly reproduces the critical exponent of the three-dimensional XY universality class. Because divergence exponents can be computed in an efficient manner by hypergeometric analytic continuation, our strategy is applicable to a wide class of systems.
ISSN:1367-2630