自旋泵的平台跃迁和体-边缘对应
Plateau transitions of spin pump and bulk-edge correspondence
摘要:
以二聚化和交错磁场为合成维度,利用自旋泵研究了量子自旋链($S$ = 1,3/2,2和3)的连续平台跃迁.体积的特征在于与边界扭曲和泵协议相关联的陈数作为时间。它计算循环中由$Z_2$ Berry阶段指定的临界点的数量。在开边界条件下,由于出现的有效边缘自旋导致的自旋加权质心的不连续性也表征了泵的体边缘对应。它需要泵中的额外水平交叉点作为与价键固体(VBS)图片一致的超级选择规则。
英文摘要:
Sequential plateau transitions of quantum spin chains ($S$=1,3/2,2 and 3) are demonstrated by a spin pump using dimerization and staggered magnetic field as synthetic dimensions. The bulk is characterized by the Chern number associated with the boundary twist and the pump protocol as a time. It counts the number of critical points in the loop that is specified by the $Z_2$ Berry phases. With open boundary condition, discontinuity of the spin weighted center of mass due to emergent effective edge spins also characterizes the pump as the bulk edge correspondence. It requires extra level crossings in the pump as a super-selection rule that is consistent with the Valence Bond Solid (VBS) picture.
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