Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model

Fuente: arXiv
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Main Authors: Mirmojarabian, Fatemeh, Jahromi, Saeed S., Abouie, Jahanfar
Format: Preprint
Published: 2023
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author Mirmojarabian, Fatemeh
Jahromi, Saeed S.
Abouie, Jahanfar
author_facet Mirmojarabian, Fatemeh
Jahromi, Saeed S.
Abouie, Jahanfar
contents We map out the ground state phase diagram of the isotropic Kekule'-Kitaev model on the honeycomb lattice in the presence of the Heisenberg exchange couplings. Our study relies on large-scale tensor network simulations based on graph-based projected entangled pair state (gPEPS) approach in the thermodynamic limit. We find that on top of the quantum spin liquid (QSL) and conventional magnetically ordered phases which are typical of the Kitaev-Heisenberg model, the Kekule'-Heisenberg phase diagram, hosts two plaquette valance bond solid (VBS) phases with vanishing magnetic order. While the VBS phases preserve the symmetries of the original Hamiltonian, they differ markedly from the Kitaev spin liquid by having decorated plaquette ordering which is distinguished by a plaquette order parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2308_11010
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
Mirmojarabian, Fatemeh
Jahromi, Saeed S.
Abouie, Jahanfar
Strongly Correlated Electrons
We map out the ground state phase diagram of the isotropic Kekule'-Kitaev model on the honeycomb lattice in the presence of the Heisenberg exchange couplings. Our study relies on large-scale tensor network simulations based on graph-based projected entangled pair state (gPEPS) approach in the thermodynamic limit. We find that on top of the quantum spin liquid (QSL) and conventional magnetically ordered phases which are typical of the Kitaev-Heisenberg model, the Kekule'-Heisenberg phase diagram, hosts two plaquette valance bond solid (VBS) phases with vanishing magnetic order. While the VBS phases preserve the symmetries of the original Hamiltonian, they differ markedly from the Kitaev spin liquid by having decorated plaquette ordering which is distinguished by a plaquette order parameter.
title Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2308.11010