Quasi-one Dimensional Topological Insulator: Möbius Molecular Devices in Peierls Transition**Supported by the National Natural Science Foundation of China under Grant No. 11504241 and the Natural Science Foundation of Shenzhen University under Grant No. 201551

Abstract

We show that, assisted by the Peierls transition of lattice, as a quasi-one dimensional (Q1D) tight binding system, a Möbius molecular device can behave as a simple topological insulator. With the Peierls phase transition to form a domain wall, the solitonary zero modes exist as the ground state of this electron-phonon hybrid system, which is protected by the Z2 topology of the Möbius strip. The robustness of the ground state prevents these degenerate zero modes from their energy spectrum splitting caused by any perturbation.