Quantum Phase Diagram of the Bilayer Kitaev-Heisenberg Model

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Main Authors: Samimi, Elahe, Duft, Antonia, Adelhardt, Patrick, Schmidt, Kai Phillip, Jahromi, Saeed S.
Format: Preprint
Published: 2024
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author Samimi, Elahe
Duft, Antonia
Adelhardt, Patrick
Schmidt, Kai Phillip
Jahromi, Saeed S.
author_facet Samimi, Elahe
Duft, Antonia
Adelhardt, Patrick
Schmidt, Kai Phillip
Jahromi, Saeed S.
contents We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as high-order series expansions. We find that beyond various magnetically ordered phases, including ferromagnetic, zigzag, antiferromagnetic (AFM) and stripy states, two extended quantum spin liquid phases arise in the proximity of the Kitaev limit. While these ordered phases also appear in the monolayer Kitaev-Heisenberg model, our results further show that a valence bond solid state emerges in a relatively narrow range of parameter space between the AFM and stripy phases, which can be adiabatically connected to isolated Heisenberg dimers. Our results highlight the importance of considering interlayer interactions on the emergence of novel quantum phases in the bilayer Kitaev materials.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17495
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Phase Diagram of the Bilayer Kitaev-Heisenberg Model
Samimi, Elahe
Duft, Antonia
Adelhardt, Patrick
Schmidt, Kai Phillip
Jahromi, Saeed S.
Strongly Correlated Electrons
Quantum Physics
We study the ground-state phase diagram of the spin-$1/2$ Kitaev-Heisenberg model on the bilayer honeycomb lattice with large-scale tensor network calculations based on the infinite projected entangled pair state technique as well as high-order series expansions. We find that beyond various magnetically ordered phases, including ferromagnetic, zigzag, antiferromagnetic (AFM) and stripy states, two extended quantum spin liquid phases arise in the proximity of the Kitaev limit. While these ordered phases also appear in the monolayer Kitaev-Heisenberg model, our results further show that a valence bond solid state emerges in a relatively narrow range of parameter space between the AFM and stripy phases, which can be adiabatically connected to isolated Heisenberg dimers. Our results highlight the importance of considering interlayer interactions on the emergence of novel quantum phases in the bilayer Kitaev materials.
title Quantum Phase Diagram of the Bilayer Kitaev-Heisenberg Model
topic Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2412.17495