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arXiv · 2007.16057

Topological phases of spinless $p$-orbital fermions in zigzag optical lattices

Gaoyong Sun·Wen-Long You·Tao Zhou
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Abstract

Motivated by the experiment [St-Jean {\it et al}., Nature Photon. {\bf 11}, 651 (2017)] on topological phases with collective photon modes in a zigzag chain of polariton micropillars, we study spinless $p$-orbital fermions with local interorbital hoppings and repulsive interactions between $p_x$ and $p_y$ bands in zigzag optical lattices. We show that spinless $p$-band fermions in zigzag optical lattices can mimic the interacting Su-Schrieffer-Heeger model and the effective transverse field Ising model in the presence of local hoppings. We analytically and numerically discuss the ground-state phases and quantum phase transitions of the model. This work provides a simple scheme to simulate topological phases and the quench dynamics of many-body systems in optical lattices.

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Gaoyong Sun, Wen-Long You, Tao Zhou. 2020-11-22. Topological phases of spinless $p$-orbital fermions in zigzag optical lattices. https://doi.org/10.1103/physreva.102.063301

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