Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets

Fuente: arXiv
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Autores principales: Huang, Chun-Jiong, Yao, Xu-Ping, Chen, Gang v.
Formato: Preprint
Publicado: 2024
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author Huang, Chun-Jiong
Yao, Xu-Ping
Chen, Gang v.
author_facet Huang, Chun-Jiong
Yao, Xu-Ping
Chen, Gang v.
contents Nematicity plays an important role in strongly correlated electron systems. We explore the spin nematicity of a spin-1 kagome lattice antiferromagnet with the bilinear-biquadratic model and single-ion anisotropy using a generalized semiclassical approximation and Monte Carlo simulations. We reveal a rich ground state phase diagram, characterized by two main regions: a pure spin nematic phase and a region featuring the coexistence of a classical spin liquid and ferroicities for both dipolar and quadrupolar moments. The thermal fluctuation melts the spin nematic order into a critical phase with a quasi-long-range nematic order. Due to the fluctuating vortices of the spin nematic order, this critical phase further undergoes a nematic Berezinskii-Kosterlitz-Thouless transition to a paramagnetic phase, marked by an anomalous stiffness jump. Additionally, the single-ion anisotropy leads to weak ferromagnetism, resulting in spontaneous time-reversal symmetry breaking at very low temperatures. Remarkably, both two types of ferroic ordering are accompanied by classical spin liquid behaviors. Our results provide an intriguing glimpse into the interplay between geometric frustration and intertwining spin orders with different ranks and are expected to stimulate further studies on spin-1 systems and relevant materials.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18600
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
Huang, Chun-Jiong
Yao, Xu-Ping
Chen, Gang v.
Strongly Correlated Electrons
Nematicity plays an important role in strongly correlated electron systems. We explore the spin nematicity of a spin-1 kagome lattice antiferromagnet with the bilinear-biquadratic model and single-ion anisotropy using a generalized semiclassical approximation and Monte Carlo simulations. We reveal a rich ground state phase diagram, characterized by two main regions: a pure spin nematic phase and a region featuring the coexistence of a classical spin liquid and ferroicities for both dipolar and quadrupolar moments. The thermal fluctuation melts the spin nematic order into a critical phase with a quasi-long-range nematic order. Due to the fluctuating vortices of the spin nematic order, this critical phase further undergoes a nematic Berezinskii-Kosterlitz-Thouless transition to a paramagnetic phase, marked by an anomalous stiffness jump. Additionally, the single-ion anisotropy leads to weak ferromagnetism, resulting in spontaneous time-reversal symmetry breaking at very low temperatures. Remarkably, both two types of ferroic ordering are accompanied by classical spin liquid behaviors. Our results provide an intriguing glimpse into the interplay between geometric frustration and intertwining spin orders with different ranks and are expected to stimulate further studies on spin-1 systems and relevant materials.
title Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2409.18600