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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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American Physical Society
2019-12-01
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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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institution | Directory Open Access Journal |
issn | 2643-1564 |
language | English |
last_indexed | 2024-04-24T10:29:02Z |
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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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