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)
