Topological nematic spin liquid on the square kagome lattice

The ground state of the spin-1/2 kagome antiferromagnet remains uncertain despite decades of active research. Here we step aside from this debated question to address the ground-state nature of a related, and potentially just as rich, system made of corner-sharing triangles: the square kagome lattic...

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Main Authors: Tristan Lugan, L. D. C. Jaubert, Arnaud Ralko
Format: Article
Language:English
Published: American Physical Society 2019-12-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.1.033147
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author Tristan Lugan
L. D. C. Jaubert
Arnaud Ralko
author_facet Tristan Lugan
L. D. C. Jaubert
Arnaud Ralko
author_sort Tristan Lugan
collection DOAJ
description The ground state of the spin-1/2 kagome antiferromagnet remains uncertain despite decades of active research. Here we step aside from this debated question to address the ground-state nature of a related, and potentially just as rich, system made of corner-sharing triangles: the square kagome lattice (SKL). Our work is motivated by the recent synthesis of a distorted SKL compound mentioned by Morita and Tohyama [J. Phys. Soc. Jpn. 87, 043704 (2018)JUPSAU0031-901510.7566/JPSJ.87.043704]. We have studied its spin-1/2 J_{1}-J_{2} phase diagram with an unrestricted Schwinger boson mean-field theory (SBMFT). Our results agree with previous observations of a plaquette phase (J_{2}≪J_{1}) and a ferrimagnet (J_{1}≪J_{2}). In addition, three original phases appear: two incommensurate orders and a topological quantum spin liquid with weak nematicity. The topological order is characterized by fluxes on specific gauge-invariant quantities and the phase is stable under anisotropic perturbations relevant for experiments. Finally, we provide dynamical structure factors of the reported phases that could be observed in inelastic neutron scattering.
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spelling doaj.art-4c3f704c829641fcbb2a9a3c9585b0052024-04-12T16:47:23ZengAmerican Physical SocietyPhysical Review Research2643-15642019-12-011303314710.1103/PhysRevResearch.1.033147Topological nematic spin liquid on the square kagome latticeTristan LuganL. D. C. JaubertArnaud RalkoThe ground state of the spin-1/2 kagome antiferromagnet remains uncertain despite decades of active research. Here we step aside from this debated question to address the ground-state nature of a related, and potentially just as rich, system made of corner-sharing triangles: the square kagome lattice (SKL). Our work is motivated by the recent synthesis of a distorted SKL compound mentioned by Morita and Tohyama [J. Phys. Soc. Jpn. 87, 043704 (2018)JUPSAU0031-901510.7566/JPSJ.87.043704]. We have studied its spin-1/2 J_{1}-J_{2} phase diagram with an unrestricted Schwinger boson mean-field theory (SBMFT). Our results agree with previous observations of a plaquette phase (J_{2}≪J_{1}) and a ferrimagnet (J_{1}≪J_{2}). In addition, three original phases appear: two incommensurate orders and a topological quantum spin liquid with weak nematicity. The topological order is characterized by fluxes on specific gauge-invariant quantities and the phase is stable under anisotropic perturbations relevant for experiments. Finally, we provide dynamical structure factors of the reported phases that could be observed in inelastic neutron scattering.http://doi.org/10.1103/PhysRevResearch.1.033147
spellingShingle Tristan Lugan
L. D. C. Jaubert
Arnaud Ralko
Topological nematic spin liquid on the square kagome lattice
Physical Review Research
title Topological nematic spin liquid on the square kagome lattice
title_full Topological nematic spin liquid on the square kagome lattice
title_fullStr Topological nematic spin liquid on the square kagome lattice
title_full_unstemmed Topological nematic spin liquid on the square kagome lattice
title_short Topological nematic spin liquid on the square kagome lattice
title_sort topological nematic spin liquid on the square kagome lattice
url http://doi.org/10.1103/PhysRevResearch.1.033147
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