Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets

Fuente: arXiv
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Autori principali: Gembé, Martin, Gresista, Lasse, Schmidt, Heinz-Jürgen, Hickey, Ciarán, Iqbal, Yasir, Trebst, Simon
Natura: Preprint
Pubblicazione: 2024
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author Gembé, Martin
Gresista, Lasse
Schmidt, Heinz-Jürgen
Hickey, Ciarán
Iqbal, Yasir
Trebst, Simon
author_facet Gembé, Martin
Gresista, Lasse
Schmidt, Heinz-Jürgen
Hickey, Ciarán
Iqbal, Yasir
Trebst, Simon
contents A promising route towards the realization of chiral spin liquids is the quantum melting of classically noncoplanar spin states via quantum fluctuations. In the classical realm, such noncoplanar orders can effectively be stabilized by interactions beyond nearest neighbors. Motivated by the recent synthesis of materials with a maple-leaf lattice geometry, we study the effect of cross-plaquette couplings on elementary Heisenberg antiferromagnets for this geometry (as well as their ferromagnetic counterparts). We find a rich spectrum of noncoplanar states, including a novel icosahedral order as well as incommensurate spin spirals, using large-scale Monte Carlo simulations in combination with a semi-analytical analysis. To inspect the potential quantum melting of these states, we analyze the quantum $S = 1/2$ variant of these models using pseudo-fermion functional renormalization group (pf-FRG) simulations. Notably, we indeed find extended parameter regimes lacking long-range magnetic order -- in regions classically occupied by noncoplanar orders -- which we putatively identify with the possible formation of chiral quantum spin liquids.
format Preprint
id arxiv_https___arxiv_org_abs_2402_09400
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
Gembé, Martin
Gresista, Lasse
Schmidt, Heinz-Jürgen
Hickey, Ciarán
Iqbal, Yasir
Trebst, Simon
Strongly Correlated Electrons
A promising route towards the realization of chiral spin liquids is the quantum melting of classically noncoplanar spin states via quantum fluctuations. In the classical realm, such noncoplanar orders can effectively be stabilized by interactions beyond nearest neighbors. Motivated by the recent synthesis of materials with a maple-leaf lattice geometry, we study the effect of cross-plaquette couplings on elementary Heisenberg antiferromagnets for this geometry (as well as their ferromagnetic counterparts). We find a rich spectrum of noncoplanar states, including a novel icosahedral order as well as incommensurate spin spirals, using large-scale Monte Carlo simulations in combination with a semi-analytical analysis. To inspect the potential quantum melting of these states, we analyze the quantum $S = 1/2$ variant of these models using pseudo-fermion functional renormalization group (pf-FRG) simulations. Notably, we indeed find extended parameter regimes lacking long-range magnetic order -- in regions classically occupied by noncoplanar orders -- which we putatively identify with the possible formation of chiral quantum spin liquids.
title Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2402.09400