Sanders, Sören and Holthaus, Martin (2017) Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model. New Journal of Physics, 19 (10). p. 103036. ISSN 1367-2630

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Abstract

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.

Item Type:	Article
Additional Information:	Publiziert mit Hilfe des DFG-geförderten Open Access-Publikationsfonds der Carl von Ossietzky Universität Oldenburg.
Uncontrolled Keywords:	quantum phase transition, critical exponents, Bose–Hubbard model, analytic continuation
Subjects:	Science and mathematics > Physics
Divisions:	Faculty of Mathematics and Science > Institute of Physics (IfP)
Date Deposited:	15 Feb 2018 14:53
Last Modified:	15 Feb 2018 14:53
URI:	https://oops.uni-oldenburg.de/id/eprint/3501
URN:	urn:nbn:de:gbv:715-oops-35824
DOI:	doi:10.1088/1367-2630/aa9165
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