Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal

• URL: http://arxiv.org/abs/2105.12487v2
• Date: Tue, 24 Sep 2024 17:09:25 GMT
• Title: Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• Authors: Haiyuan Zou, Wei Wang,
• Abstract summary: We study the spin-$1/2$ antiferromagnetic Heisenberg model on a Sierpi'nski gasket. The fractal porous feature generates new kinds of frustration to exhibit exotic quantum states. Our results unambiguously point out multiple essential properties of this fractal spin system.
• Score: 3.761340262200226
• License: http://creativecommons.org/publicdomain/zero/1.0/
• 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 Sierpi\'nski 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 non-local 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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