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Defect formation in the one-dimensional topological three-band model isexamined within both lattice and continuum models. Classic results ofJackiw-Rebbi and Rice-Mele for the soliton charge is generalized to thethree-band model. The presence of the central flat band in the three-band modelmakes the soliton charge as a function of energy behave in a qualitativelydifferent way from the two-band Dirac model case. Quantum field-theoreticalcalculation of Goldstone and Wilczek is also generalized to the three-bandmodel to obtain the soliton charge. Diamond-chain lattice is shown to be anideal structure to host a topological three-band structure.

Soliton Defects in One-dimensional Topological Three-band Hamiltonian