Extracting critical exponents for sequences of numerical data via series extrapolation techniques

Coester K, Schmidt KP (2016)

Publication Language: English

Publication Status: Published

Publication Type: Journal article

Publication year: 2016

Journal

Physical Review E American Physical Society

Publisher: AMER PHYSICAL SOC

Book Volume: 94

Journal Issue: 2

DOI: 10.1103/PhysRevE.94.022101

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 with CRIS profile

Kai Phillip Schmidt Professur für Theoretische Physik

Involved external institutions

Technische Universität Dortmund DE Germany (DE)

How to cite

APA:

Coester, K., & Schmidt, K.P. (2016). Extracting critical exponents for sequences of numerical data via series extrapolation techniques. Physical Review E, 94(2). https://dx.doi.org/10.1103/PhysRevE.94.022101

MLA:

Coester, Kris, and Kai Phillip Schmidt. "Extracting critical exponents for sequences of numerical data via series extrapolation techniques." Physical Review E 94.2 (2016).

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