Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions

Fuente: arXiv
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Autori principali: Yu, Xue-Jia, Shi, Shao-Hang, Xu, Limei, Li, Zi-Xiang
Natura: Preprint
Pubblicazione: 2022
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author Yu, Xue-Jia
Shi, Shao-Hang
Xu, Limei
Li, Zi-Xiang
author_facet Yu, Xue-Jia
Shi, Shao-Hang
Xu, Limei
Li, Zi-Xiang
contents In the past decades, tremendous efforts have been made towards understanding the exotic physics emerging from competition between various ordering tendencies in strongly correlated systems. Employing state-of-the-art quantum Monte-Carlo simulation, we investigate an interacting SU($N$) fermionic model with varying interaction strength and value of $N$, and unveil the ground-state phase diagram of the model exhibiting a plethora of exotic phases. For small value of $N$, namely $N=2,3$, the ground state is antiferromagnetic (AFM) phase, whereas in the large-$N$ limit, valence bound solid (VBS) order is dominant. For the intermediate value of $N$ such as $N=4$, remarkably, our study reveals distinct VBS orders appear in the weak and strong coupling regimes. More fantastically, the competition between staggered and columnar VBS ordering tendencies gives rise to a Mott insulating phase without spontaneously symmetry breaking (SSB), existing in a large interacting parameter regime, which is consistent with a gapped quantum spin liquid. Our study not only provides a platform to investigate the fundamental physics of quantum many-body systems, but also offers a novel route towards searching for exotic states of matter such as quantum spin liquid in realistic quantum materials.
format Preprint
id arxiv_https___arxiv_org_abs_2211_02002
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
Yu, Xue-Jia
Shi, Shao-Hang
Xu, Limei
Li, Zi-Xiang
Strongly Correlated Electrons
Superconductivity
In the past decades, tremendous efforts have been made towards understanding the exotic physics emerging from competition between various ordering tendencies in strongly correlated systems. Employing state-of-the-art quantum Monte-Carlo simulation, we investigate an interacting SU($N$) fermionic model with varying interaction strength and value of $N$, and unveil the ground-state phase diagram of the model exhibiting a plethora of exotic phases. For small value of $N$, namely $N=2,3$, the ground state is antiferromagnetic (AFM) phase, whereas in the large-$N$ limit, valence bound solid (VBS) order is dominant. For the intermediate value of $N$ such as $N=4$, remarkably, our study reveals distinct VBS orders appear in the weak and strong coupling regimes. More fantastically, the competition between staggered and columnar VBS ordering tendencies gives rise to a Mott insulating phase without spontaneously symmetry breaking (SSB), existing in a large interacting parameter regime, which is consistent with a gapped quantum spin liquid. Our study not only provides a platform to investigate the fundamental physics of quantum many-body systems, but also offers a novel route towards searching for exotic states of matter such as quantum spin liquid in realistic quantum materials.
title Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2211.02002