Koziol J, Mühlhauser M, Schmidt KP (2024)
Publication Language: English
Publication Type: Journal article
Publication year: 2024
Book Volume: 61
Article Number: 107794
DOI: 10.1016/j.rinp.2024.107794
We study the low-field ground-state (GS) properties of the antiferromagnetic transverse-field Ising model with long-range interactions (afLRTFIM) on the triangular lattice. We use the method of perturbative continuous unitary transformations (pCUT) to derive an effective model for the degenerate GS space of the antiferromagnetic nearest-neighbour (NN) Ising model on a finite system, by treating the transverse-field (TF) and the long-range interactions (LRI) as a perturbation. We determine a level-crossing between the gapped plain stripe phase at small TF and the gapped clock-ordered phase at intermediate TF at hc≅0.129 for α=6, N=36 spins in order three perturbation theory on the finite system. We discuss the qualitative layout of the quantum phase diagram of the afLRTFIM on the triangular lattice.
APA:
Koziol, J., Mühlhauser, M., & Schmidt, K.P. (2024). Order-by-disorder and long-range interactions in the antiferromagnetic transverse-field Ising model on the triangular lattice—A perturbative point of view. Results in Physics, 61. https://doi.org/10.1016/j.rinp.2024.107794
MLA:
Koziol, Jan, Matthias Mühlhauser, and Kai Phillip Schmidt. "Order-by-disorder and long-range interactions in the antiferromagnetic transverse-field Ising model on the triangular lattice—A perturbative point of view." Results in Physics 61 (2024).
BibTeX: Download