Gyungchoon Go, Kyeong Tae Kang, Jung Hoon Han
How a defect manifests itself in topological bands is examined for the three-band case in both one and two space dimensions. Extension of Jackiw-Rebbi theory of soliton formation based on two-component Dirac model is given for three-band solitons of irrational charge. Insertion of \pi-flux in one-dimensional topological diamond-chain lattice fails to produce soliton defects, while in two-dimensional Kagome topological three-band it leads to a pair of soliton defects, each one dictated by the standard Jackiw-Rebbi scenario.
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http://arxiv.org/abs/1306.0998
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