Spin- 12 XXZ Heisenberg chain in a longitudinal magnetic field

authored by
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.

External Organisation(s)
National Metrology Institute of Germany (PTB)
Technische Universität Braunschweig
Type
Article
Journal
Physical Review B
Volume
100
ISSN
2469-9950
Publication date
28.10.2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Electronic, Optical and Magnetic Materials, Condensed Matter Physics
Electronic version(s)
https://doi.org/10.1103/PhysRevB.100.134434 (Access: Unknown)