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.

arXiv comment4 pages, 4 figures

References in corpus (19)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Berry Phase Effects on Electronic Properties
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Crystalline Insulators
• Scheme to Achieve Silicon Topological Photonics
• Colloquium: Topological Band Theory
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Inversion Symmetric Topological Insulators
• The Zak phase and the existence of edge states in graphene
• Topology of crystalline insulators and superconductors
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Topological Mirror Insulators in One Dimension
• Classification of topological crystalline insulators based on representation theory
• Topological origin of edge states in two-dimensional inversion-symmetric insulators and semimetals
• Topological Edge States with Zero Hall Conductivity in a Dimerized Hofstadter Model

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