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Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases

Anomaly manifestation of Lieb-Schultz-Mattis theorem and topological phases

The Lieb-Schultz-Mattis (LSM) theorem dictates that emergent low-energy states from a lattice model cannot be a trivial symmetric insulator if the filling per unit cell is not integral and if the lattice translation symmetry and particle number conservation are strictly imposed. In this paper, we compare the one-dimensional gapless states …