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

作　　者：邹海源 王巍 Haiyuan Zou;Wei Wang(Key Laboratory of Polar Materials and Devices(MOE),School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China;Tsung-Dao Lee Institute,Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]Key Laboratory of Polar Materials and Devices(MOE),School of Physics and Electronic Science,East China Normal University,Shanghai 200241,China [2]Tsung-Dao Lee Institute,Shanghai Jiao Tong University,Shanghai 200240,China

出　　处：《Chinese Physics Letters》2023年第5期94-98,共5页中国物理快报（英文版）

基　　金：the National Natural Science Foundation of China(Grant No.12274126);carried out during the virtual program“Tensor Networks in Many Body and Quantum Field Theory”held at the Institute for Nuclear Theory,University of Washington,Seattle(INT 21–1c)。

摘　　要：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.

关 键 词：properties FRACTAL HEISENBERG 

分 类 号：O469[理学—凝聚态物理]