Spin- 12 XXZ Heisenberg chain in a longitudinal magnetic field

verfasst von
Mykhailo V. Rakov, Michael Weyrauch
Abstract

We study the XXZ Heisenberg model in a longitudinal magnetic field using a tensor renormalization method. Built into the tensor representation of the XXZ model is the U(1) symmetry, which is systematically maintained at each renormalization step. This enables rather large tensor representations. We extract ground-state properties as well as the low-lying spectrum from the fixed-point tensors. With rather moderate numerical effort we achieve a very good accuracy as demonstrated by comparison with Bethe ansatz calculations. The phase structure of the model can be accurately reproduced just from the largest fixed-point tensor elements.

Externe Organisation(en)
Physikalisch-Technische Bundesanstalt (PTB)
Technische Universität Braunschweig
Typ
Artikel
Journal
Physical Review B
Band
100
ISSN
2469-9950
Publikationsdatum
28.10.2019
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Elektronische, optische und magnetische Materialien, Physik der kondensierten Materie
Elektronische Version(en)
https://doi.org/10.1103/PhysRevB.100.134434 (Zugang: Unbekannt)