Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 134434 |
| Fachzeitschrift | Physical Review B |
| Jahrgang | 100 |
| Ausgabenummer | 13 |
| Publikationsstatus | Veröffentlicht - 28 Okt. 2019 |
| Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Werkstoffwissenschaften (insg.)
- Elektronische, optische und magnetische Materialien
- Physik und Astronomie (insg.)
- Physik der kondensierten Materie
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in: Physical Review B, Jahrgang 100, Nr. 13, 134434, 28.10.2019.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Spin- 12 XXZ Heisenberg chain in a longitudinal magnetic field
AU - Rakov, Mykhailo V.
AU - Weyrauch, Michael
N1 - Funding information: M.V.R. acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy-EXC-2123/1. APPENDIX A:
PY - 2019/10/28
Y1 - 2019/10/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85074918995&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.100.134434
DO - 10.1103/PhysRevB.100.134434
M3 - Article
AN - SCOPUS:85074918995
VL - 100
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 13
M1 - 134434
ER -