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Main Authors:	Zou, Haiyuan, Yang, Fan, Ku, Wei
Format:	Preprint
Published:	2020
Subjects:	Strongly Correlated Electrons Superconductivity Quantum Physics
Online Access:	https://arxiv.org/abs/2011.06520
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author	Zou, Haiyuan Yang, Fan Ku, Wei
author_facet	Zou, Haiyuan Yang, Fan Ku, Wei
contents	The spin-$1/2$ model system with antiferromagnetic (AF) couplings on a $J_1$-$J_2$ checkerboard lattice, known as the planar pyrochlore model, is strongly frustrated and associated with a two-to-one dimensional crossover. Using the Projected Entangled Simplex States tensor network ansatz, we identify a large number of nearly degenerate states in the frustrated region ($J_1<J_2$). Specifically, we find the long-sought crossed-dimer valence bond solid (VBS) state to be the ground state at $J_1\lesssim J_2$, while various 1D AF correlated states take over the rest. We verify the stability of the VBS state against nematic perturbation. The corresponding bosonic picture provides an intuitive understanding of the low-energy physics. Particularly, it predicts weaker VBS states in the easy-plane limit, which we confirm numerically. Our results clarify the most essential ground state properties of this interesting system and demonstrate the usefulness of bosonic picture in dealing with frustrated magnetism.
format	Preprint
id	arxiv_https___arxiv_org_abs_2011_06520
institution	arXiv
publishDate	2020
record_format	arxiv
spellingShingle	Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation Zou, Haiyuan Yang, Fan Ku, Wei Strongly Correlated Electrons Superconductivity Quantum Physics The spin-$1/2$ model system with antiferromagnetic (AF) couplings on a $J_1$-$J_2$ checkerboard lattice, known as the planar pyrochlore model, is strongly frustrated and associated with a two-to-one dimensional crossover. Using the Projected Entangled Simplex States tensor network ansatz, we identify a large number of nearly degenerate states in the frustrated region ($J_1<J_2$). Specifically, we find the long-sought crossed-dimer valence bond solid (VBS) state to be the ground state at $J_1\lesssim J_2$, while various 1D AF correlated states take over the rest. We verify the stability of the VBS state against nematic perturbation. The corresponding bosonic picture provides an intuitive understanding of the low-energy physics. Particularly, it predicts weaker VBS states in the easy-plane limit, which we confirm numerically. Our results clarify the most essential ground state properties of this interesting system and demonstrate the usefulness of bosonic picture in dealing with frustrated magnetism.
title	Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
topic	Strongly Correlated Electrons Superconductivity Quantum Physics
url	https://arxiv.org/abs/2011.06520

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