Tensor network study of the spin- 12 Heisenberg antiferromagnet on the shuriken lattice
Schmoll P, Kshetrimayum A, Naumann J, Eisert J, Iqbal Y (2023)
Publication Type: Journal article
Publication year: 2023
Journal
Book Volume: 107
Article Number: 064406
Journal Issue: 6
DOI: 10.1103/PhysRevB.107.064406
Abstract
We investigate the ground state of the spin S=12 Heisenberg antiferromagnet on the shuriken lattice, also in the presence of an external magnetic field. To this end, we employ two-dimensional tensor network techniques based on infinite projected entangled pair and simplex states considering states with different sizes of the unit cells. We show that a valence bond crystal with resonances over length six loops emerges as the ground state (at any given finite bond dimension) yielding the lowest reported estimate of the ground state energy E0/J=-0.4410±0.0001 for this model, estimated in the thermodynamic limit. We also study the model in the presence of an external magnetic field and find the emergence of 0, 13, and 23 magnetization plateaus. The 13 and 23 plateau states respect translation and point group symmetries and feature loop-four plaquette resonances.
Involved external institutions
Germany (DE)
India (IN)How to cite
APA:
Schmoll, P., Kshetrimayum, A., Naumann, J., Eisert, J., & Iqbal, Y. (2023). Tensor network study of the spin- 12 Heisenberg antiferromagnet on the shuriken lattice. Physical Review B, 107(6). https://doi.org/10.1103/PhysRevB.107.064406
MLA:
Schmoll, Philipp, et al. "Tensor network study of the spin- 12 Heisenberg antiferromagnet on the shuriken lattice." Physical Review B 107.6 (2023).
BibTeX: Download