论文标题
开放自旋链中多体边缘和延伸量子状态的拓扑：1/3-帕拉托，kosterlitz-无尽的过渡和Luttinger液体
Topology of many-body edge and extended quantum states in an open spin chain: 1/3--plateau, Kosterlitz-Thouless transition, and Luttinger liquid
论文作者
论文摘要
使用密度基质重量级化组和精确的对角色，在开放的AB $ _2 $链中Quantum多体边缘和扩展的磁通激发 - 在开放的AB $ _2 $链上的高原 - 磁场$ h $中的AB $ _2 $链上。通过在丰富相图中调整各向异性和$ h $，边缘状态渗透到散装中，其间隙以对称保护的拓扑拓扑kosterlitz-thouless-thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thou thouless Truntition进行了关闭。此外，我们目睹了挤压链效应，边缘状态堕落的破裂以及激发的拓扑变化，从具有二次长波长分散的浓度的木元素到在Luttinger液体液体无缘相位的线性Spinon分散剂作为各向异性$λ$接近$λ> 0 $ 0 $ 0 $ niagramp的关键点。
Quantum many-body edge and extended magnon excitations from the 1/3 -- plateau of the anisotropic Heisenberg model on an open AB$_2$ chain in a magnetic field $h$ are unveiled using the density matrix renormalization group and exact diagonalization. By tuning both the anisotropy and $h$ in the rich phase diagram, the edge states penetrate in the bulk, whose gap closes in a symmetry-protected topological Kosterlitz-Thouless transition. Also, we witness the squeezed chain effect, the breaking of the edge states degeneracy, and a topological change of the excitations from gapped magnons with quadratic long-wavelength dispersion to a linear spinon dispersion in the Luttinger liquid gapless phase as the anisotropy $λ$ approaches the critical point from the $λ>0$ side of the phase diagram.
