一维拓扑三带哈密顿量中的孤子缺陷
Soliton Defects in One-dimensional Topological Three-band Hamiltonian
摘要：
在一维拓扑三带模型中的缺陷形成检查在晶格和连续模型。将Jackiw-Rebbi和Rice-Mele关于孤子荷的经典结果推广到三带模型。在三带模型中，中心平带的存在使得孤子电荷作为能量的函数的行为在性质上不同于两带狄拉克模型的情况。本文还将Goldstone和Wilczek的量子场论计算推广到三带模型，得到了孤子电荷。金刚石链晶格是一种理想的拓扑三能带结构。
英文摘要：
Defect formation in the one-dimensional topological three-band model is examined within both lattice and continuum models. Classic results of Jackiw-Rebbi and Rice-Mele for the soliton charge is generalized to the three-band model. The presence of the central flat band in the three-band model makes the soliton charge as a function of energy behave in a qualitatively different way from the two-band Dirac model case. Quantum field-theoretical calculation of Goldstone and Wilczek is also generalized to the three-band model to obtain the soliton charge. Diamond-chain lattice is shown to be an ideal structure to host a topological three-band structure.
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