Topological Edge States of Honeycomb Lattices with Zero Berry Curvature

Berry curvature, the geometric counterpart of the magnetic field in momentum space, has been applied to various topological materials, such as topological insulators and Weyl semimetals, to give rise to robust edge states that have applications in electron transport and quantum computing. In this wo...

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Veröffentlicht in:Journal of the Physical Society of Japan 2017-12, Vol.86 (12), p.123707
Hauptverfasser: Liu, Feng, Yamamoto, Minori, Wakabayashi, Katsunori
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Yamamoto, Minori
Wakabayashi, Katsunori
description Berry curvature, the geometric counterpart of the magnetic field in momentum space, has been applied to various topological materials, such as topological insulators and Weyl semimetals, to give rise to robust edge states that have applications in electron transport and quantum computing. In this work, we show that under zero Berry curvature a honeycomb lattice with a Kekule-like hopping texture possesses topological edge states, which is analogous to the scenario of the Aharonov-Bohm effect. Our results serve for the design of solid-state materials with topological edge states.
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subjects Curvature
Electron transfer
Electron transport
Honeycomb construction
Lattice theory
Lattices
Magnetic fields
Metalloids
Quantum computing
Topological insulators
Topology
title Topological Edge States of Honeycomb Lattices with Zero Berry Curvature
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