Novel Topological Phase with Zero Berry Curvature

Abstract

We present a two-dimensional (2D) lattice model that exhibits a nontrivial topological phase in the absence of the Berry curvature. Instead, the Berry connection provides the topological nontrivial phase in the model, whose integration over the momentum space, the so-called 2D Zak phase, yields a fractional wave polarization in each direction. These fractional wave polarizations manifest themselves as degenerated edge states with opposite parities in the model.

4 pages, 4 figures

References in corpus (7)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Crystalline Insulators
• Scheme to Achieve Silicon Topological Photonics
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Topology of crystalline insulators and superconductors
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators

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