Designer spin models in tunable two-dimensional nanographene lattices

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Autori principali: Henriques, J. C. G., Ferri-Cortés, Mar, Fernández-Rossier, J.
Natura: Preprint
Pubblicazione: 2023
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author Henriques, J. C. G.
Ferri-Cortés, Mar
Fernández-Rossier, J.
author_facet Henriques, J. C. G.
Ferri-Cortés, Mar
Fernández-Rossier, J.
contents Motivated by recent experimental breakthroughs, we propose a strategy to design two-dimensional spin lattices with competing interactions that lead to non-trivial emergent quantum states. We consider $S=1/2$ nanographenes with $C_3$ symmetry as building blocks, and we leverage the potential to control both the sign and the strength of exchange with first neighbours to build a family of spin models. Specifically, we consider the case of a Heisenberg model in a triangle-decorated honeycomb lattice with competing ferromagnetic and antiferromagnetic interactions whose ratio can be varied in a wide range. Based on exact diagonalization of both fermionic and spin models we predict a quantum phase transition between a valence bond crystal of spin singlets with triplon excitations living in a Kagomé lattice and a Néel phase of effective $S=3/2$ in the limit of dominant ferromagnetic interactions.
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id arxiv_https___arxiv_org_abs_2312_01783
institution arXiv
publishDate 2023
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spellingShingle Designer spin models in tunable two-dimensional nanographene lattices
Henriques, J. C. G.
Ferri-Cortés, Mar
Fernández-Rossier, J.
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Motivated by recent experimental breakthroughs, we propose a strategy to design two-dimensional spin lattices with competing interactions that lead to non-trivial emergent quantum states. We consider $S=1/2$ nanographenes with $C_3$ symmetry as building blocks, and we leverage the potential to control both the sign and the strength of exchange with first neighbours to build a family of spin models. Specifically, we consider the case of a Heisenberg model in a triangle-decorated honeycomb lattice with competing ferromagnetic and antiferromagnetic interactions whose ratio can be varied in a wide range. Based on exact diagonalization of both fermionic and spin models we predict a quantum phase transition between a valence bond crystal of spin singlets with triplon excitations living in a Kagomé lattice and a Néel phase of effective $S=3/2$ in the limit of dominant ferromagnetic interactions.
title Designer spin models in tunable two-dimensional nanographene lattices
topic Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2312.01783