Chiral Spin Liquid on a Shastry-Sutherland Heisenberg Antiferromagnet

Fuente: arXiv
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Autores principales: Yang, Jian-Wei, Luo, Wei-Wei, Zhu, W., Wang, L., Yang, Bo, Sengupta, Pinaki
Formato: Preprint
Publicado: 2024
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author Yang, Jian-Wei
Luo, Wei-Wei
Zhu, W.
Wang, L.
Yang, Bo
Sengupta, Pinaki
author_facet Yang, Jian-Wei
Luo, Wei-Wei
Zhu, W.
Wang, L.
Yang, Bo
Sengupta, Pinaki
contents We demonstrate the existence of a topological chiral spin liquid in the frustrated Shastry-Sutherland Heisenberg model with an additional spin chirality interaction, using numerically unbiased exact diagonalization and density matrix renormalization group methods. We establish a quantum phase diagram where conventional phases, including dimer singlet, plaquette singlet, N{\' e}el and collinear phase, can be clearly identified by suitable local order parameters. Among them a $SU(2)_1$ chiral spin liquid emerges in the highly frustrated region, which is unambiguously identified by two topologically degenerate ground states, modular matrix, and characteristic level counting in entanglement spectrum, featuring the same topological order of $ν=1/2$ bosonic Laughlin state. The phase boundaries among the different orders are determined by the energy level crossing analysis and wave function fidelity susceptibility.
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id arxiv_https___arxiv_org_abs_2403_00597
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Chiral Spin Liquid on a Shastry-Sutherland Heisenberg Antiferromagnet
Yang, Jian-Wei
Luo, Wei-Wei
Zhu, W.
Wang, L.
Yang, Bo
Sengupta, Pinaki
Strongly Correlated Electrons
We demonstrate the existence of a topological chiral spin liquid in the frustrated Shastry-Sutherland Heisenberg model with an additional spin chirality interaction, using numerically unbiased exact diagonalization and density matrix renormalization group methods. We establish a quantum phase diagram where conventional phases, including dimer singlet, plaquette singlet, N{\' e}el and collinear phase, can be clearly identified by suitable local order parameters. Among them a $SU(2)_1$ chiral spin liquid emerges in the highly frustrated region, which is unambiguously identified by two topologically degenerate ground states, modular matrix, and characteristic level counting in entanglement spectrum, featuring the same topological order of $ν=1/2$ bosonic Laughlin state. The phase boundaries among the different orders are determined by the energy level crossing analysis and wave function fidelity susceptibility.
title Chiral Spin Liquid on a Shastry-Sutherland Heisenberg Antiferromagnet
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2403.00597