Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model

We study the momentum-dependent magnetic and charge susceptibilities in the half-filled two-dimensional triangular Hubbard model within the ladder dual fermion approximation in the metallic, Mott insulating, and crossover regions of parameter space. In the insulating state, we find strong spin fluct...

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Main Authors: Shaozhi Li, Emanuel Gull
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013295
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author Shaozhi Li
Emanuel Gull
author_facet Shaozhi Li
Emanuel Gull
author_sort Shaozhi Li
collection DOAJ
description We study the momentum-dependent magnetic and charge susceptibilities in the half-filled two-dimensional triangular Hubbard model within the ladder dual fermion approximation in the metallic, Mott insulating, and crossover regions of parameter space. In the insulating state, we find strong spin fluctuations at the K point at low energy corresponding to the 120^{∘} antiferromagnetic order. The spin spectra of the insulating state is consistent with the inelastic neutron spectra of the triangular compound Ba_{8}CoNb_{6}O_{24}. We also find that the spin fluctuations at the K point persist into the metallic phase and move to higher energy. These results are in agreement with studies of spin-lattice relaxation times in κ-(ET)_{2}Cu_{2}(CN)_{3}. Finally, we present charge susceptibilities in different areas of parameter space, which should correspond to momentum-resolved electron-loss spectroscopy measurements on triangular compounds.
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spelling doaj.art-b043aad6174d4c2ca8e64d17da2a95c92024-04-12T16:51:15ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101329510.1103/PhysRevResearch.2.013295Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard modelShaozhi LiEmanuel GullWe study the momentum-dependent magnetic and charge susceptibilities in the half-filled two-dimensional triangular Hubbard model within the ladder dual fermion approximation in the metallic, Mott insulating, and crossover regions of parameter space. In the insulating state, we find strong spin fluctuations at the K point at low energy corresponding to the 120^{∘} antiferromagnetic order. The spin spectra of the insulating state is consistent with the inelastic neutron spectra of the triangular compound Ba_{8}CoNb_{6}O_{24}. We also find that the spin fluctuations at the K point persist into the metallic phase and move to higher energy. These results are in agreement with studies of spin-lattice relaxation times in κ-(ET)_{2}Cu_{2}(CN)_{3}. Finally, we present charge susceptibilities in different areas of parameter space, which should correspond to momentum-resolved electron-loss spectroscopy measurements on triangular compounds.http://doi.org/10.1103/PhysRevResearch.2.013295
spellingShingle Shaozhi Li
Emanuel Gull
Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
Physical Review Research
title Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
title_full Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
title_fullStr Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
title_full_unstemmed Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
title_short Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
title_sort magnetic and charge susceptibilities in the half filled triangular lattice hubbard model
url http://doi.org/10.1103/PhysRevResearch.2.013295
work_keys_str_mv AT shaozhili magneticandchargesusceptibilitiesinthehalffilledtriangularlatticehubbardmodel
AT emanuelgull magneticandchargesusceptibilitiesinthehalffilledtriangularlatticehubbardmodel