Multifractality of eigenfunctions in spin chains

Multifractality of eigenfunctions in spin chains

We investigate different one-dimensional quantum spin-1/2 chain models, and by combining analytical and numerical calculations we prove that their ground state wave functions in the natural spin basis are multifractals with, in general, nontrivial fractal dimensions.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-08, Vol.86 (2 Pt 1), p.021104-021104, Article 021104
Hauptverfasser: Atas, Y Y, Bogomolny, E
Format: Artikel
Sprache:eng
Schlagworte:
Condensed Matter
Mathematical Physics
Mathematics
Physics
Statistical Mechanics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We investigate different one-dimensional quantum spin-1/2 chain models, and by combining analytical and numerical calculations we prove that their ground state wave functions in the natural spin basis are multifractals with, in general, nontrivial fractal dimensions.
ISSN:1539-3755
1550-2376
DOI:10.1103/physreve.86.021104