| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Gapless Spin Liquid and Nonlocal Corner Excitation in the Spin-$1/2$ Heisenberg Antiferromagnet on Fractal |
| Haiyuan Zou1* and Wei Wang2 |
1Key Laboratory of Polar Materials and Devices (MOE), School of Physics and Electronic Science, East China Normal University, Shanghai 200241, China
2Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China
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| Cite this article: |
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Haiyuan Zou and Wei Wang 2023 Chin. Phys. Lett. 40 057501 |
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Abstract Motivated by the mathematical beauty and the recent experimental realizations of fractal systems, we study the spin-$1/2$ antiferromagnetic Heisenberg model on a Sierpiński gasket. The fractal porous feature generates new kinds of frustration to exhibit exotic quantum states. Using advanced tensor network techniques, we identify a quantum gapless-spin-liquid ground state in fractional spatial dimension. This fractal spin system also demonstrates nontrivial nonlocal properties. While the extremely short-range correlation causes a highly degenerate spin form factor, the entanglement in this fractal system suggests a long-range scaling behavior. We also study the dynamic structure factor and clearly identify the gapless excitation with a stable corner excitation emerged from the ground-state entanglement. Our results unambiguously point out multiple essential properties of this fractal spin system, and open a new route to explore spin liquid and frustrated magnetism.
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Received: 08 February 2023
Editors' Suggestion
Published: 18 April 2023
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| PACS: |
64.60.al
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(Fractal and multifractal systems)
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75.10.Kt
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(Quantum spin liquids, valence bond phases and related phenomena)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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