14 citations · 42 across the 4 of their papers we have counts for
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Quantum critical properties of Bose-Hubbard models
Sören Sanders, Martin Holthaus
The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes crit…
Hypergeometric continuation of divergent perturbation series. II. Comparison with Shanks transformation and Padé approximation
Sören Sanders, Martin Holthaus
We explore in detail how analytic continuation of divergent perturbation series by generalized hypergeometric functions is achieved in practice. Using the example of strong-couplin…
Hypergeometric continuation of divergent perturbation series. I. Critical exponents of the Bose-Hubbard model
Sören Sanders, Martin Holthaus
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 dive…
Hypergeometric analytic continuation of the strong-coupling perturbation series for the 2d Bose-Hubbard model
Sören Sanders, Christoph Heinisch, Martin Holthaus
We develop a scheme for analytic continuation of the strong-coupling perturbation series of the pure Bose-Hubbard model beyond the Mott insulator-to-superfluid transition at zero t…