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

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autor(en): Coester K, Schmidt KP
Zeitschrift: Physical Review E
Verlag: AMER PHYSICAL SOC
Jahr der Veröffentlichung: 2016
Band: 94
Heftnummer: 2
ISSN: 2470-0045
Sprache: Englisch


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.



FAU-Autoren / FAU-Herausgeber

Schmidt, Kai Phillip Prof. Dr.
Professur für Theoretische Physik


Autor(en) der externen Einrichtung(en)
Technische Universität Dortmund


Zitierweisen

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).

BibTeX: 

Zuletzt aktualisiert 2018-08-08 um 06:38