Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands

Fuente: arXiv
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Main Authors: Lin, Yu-Ping, Liu, Chunxiao, Moore, Joel E.
Format: Preprint
Published: 2023
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author Lin, Yu-Ping
Liu, Chunxiao
Moore, Joel E.
author_facet Lin, Yu-Ping
Liu, Chunxiao
Moore, Joel E.
contents We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite repulsion as filling changes. These include a series of antiferromagnetic (AFM) spin-charge stripe orders, as well as an evolution from $120^\circ$AFM to intriguing noncoplanar spin orders with tetrahedral structures. We also map out the phase diagram under extended repulsion at half and empty fillings of the flat band. To examine the possibilities beyond the mean-field level, we conduct a projective symmetry group analysis and identify the feasible $\mathbb Z_2$ spin liquids and the magnetic orders derivable from them. The theoretical phase diagrams are compared with recent experiments on FeSn and FeGe, enabling a determination of the most likely magnetic instabilities in these and similar flat-band kagome materials.
format Preprint
id arxiv_https___arxiv_org_abs_2307_11810
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
Lin, Yu-Ping
Liu, Chunxiao
Moore, Joel E.
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite repulsion as filling changes. These include a series of antiferromagnetic (AFM) spin-charge stripe orders, as well as an evolution from $120^\circ$AFM to intriguing noncoplanar spin orders with tetrahedral structures. We also map out the phase diagram under extended repulsion at half and empty fillings of the flat band. To examine the possibilities beyond the mean-field level, we conduct a projective symmetry group analysis and identify the feasible $\mathbb Z_2$ spin liquids and the magnetic orders derivable from them. The theoretical phase diagrams are compared with recent experiments on FeSn and FeGe, enabling a determination of the most likely magnetic instabilities in these and similar flat-band kagome materials.
title Complex magnetic and spatial symmetry breaking from correlations in kagome flat bands
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2307.11810