title: Extracting critical exponents for sequences of numerical data via series extrapolation techniques.
abstract: We describe a generic scheme to extract critical exponents of quantum lattice models from sequences of numerical data, which is, for example, relevant for nonperturbative linked-cluster expansions or nonperturbative variants of continuous unitary transformations. The fundamental idea behind our approach is a reformulation of the numerical data sequences as a series expansion in a pseudoparameter. This allows us to utilize standard series expansion extrapolation techniques to extract critical properties such as critical points and critical exponents. The approach is illustrated for the deconfinement transition of the antiferromagnetic spin-1/2 Heisenberg chain.
authors.affiliation: Lehrstuhl für Theoretische Physik I, Otto-Hahn-Str. 4, TU Dortmund, D-44221 Dortmund, Germany.
authors.forename: Kris
authors.initials: K
authors.lastname: Cöster
authors.affiliation: Lehrstuhl für Theoretische Physik I, Staudtstraße 7, FAU Erlangen-Nürnberg, D-91058 Erlangen, Germany.
authors.forename: Kai Phillip
authors.initials: KP
authors.lastname: Schmidt