Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models

Fuente: arXiv
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Main Authors: Szabó, Attila, Capponi, Sylvain, Alet, Fabien
Format: Preprint
Published: 2023
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author Szabó, Attila
Capponi, Sylvain
Alet, Fabien
author_facet Szabó, Attila
Capponi, Sylvain
Alet, Fabien
contents Using high-accuracy variational Monte Carlo based on group-convolutional neural networks (GCNNs), we obtain the symmetry-resolved low-energy spectrum of the spin-1/2 Heisenberg model on several highly symmetric fullerene geometries, including the famous C$_{60}$ buckminsterfullerene. We argue that as the degree of frustration is lowered in large fullerenes, they display characteristic features of incipient magnetic ordering: correlation functions show high-intensity Bragg peaks consistent with Néel-like ordering, while the low-energy spectrum is organised into a tower of states. Competition with frustration, however, turns the simple Néel order into a noncoplanar one. Remarkably, we find and predict chiral incipient ordering in a large number of fullerene structures.
format Preprint
id arxiv_https___arxiv_org_abs_2311_01496
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models
Szabó, Attila
Capponi, Sylvain
Alet, Fabien
Strongly Correlated Electrons
Computational Physics
Using high-accuracy variational Monte Carlo based on group-convolutional neural networks (GCNNs), we obtain the symmetry-resolved low-energy spectrum of the spin-1/2 Heisenberg model on several highly symmetric fullerene geometries, including the famous C$_{60}$ buckminsterfullerene. We argue that as the degree of frustration is lowered in large fullerenes, they display characteristic features of incipient magnetic ordering: correlation functions show high-intensity Bragg peaks consistent with Néel-like ordering, while the low-energy spectrum is organised into a tower of states. Competition with frustration, however, turns the simple Néel order into a noncoplanar one. Remarkably, we find and predict chiral incipient ordering in a large number of fullerene structures.
title Noncoplanar and chiral spin states on the way towards Néel ordering in fullerene Heisenberg models
topic Strongly Correlated Electrons
Computational Physics
url https://arxiv.org/abs/2311.01496