Second-order topological phases protected by chiral symmetry

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only by chiral symmetry. By the theory of the phase transitions,...

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Veröffentlicht in:Physical review. B 2019-12, Vol.100 (23), p.1, Article 235302
Hauptverfasser: Okugawa, Ryo, Hayashi, Shin, Nakanishi, Takeshi
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Hayashi, Shin
Nakanishi, Takeshi
description We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only by chiral symmetry. By the theory of the phase transitions, we propose a second-order topological semimetal and insulators with flat hinge bands in chiral-symmetric three-dimensional systems. The three-dimensional second-order topological phases can be obtained from the stacked two-dimensional second-order topological insulators with chiral symmetry. Moreover, we show that broken chiral symmetry in the three-dimensional second-order topological phase allows a second-order topological insulator with chiral hinge states. We also demonstrate the second-order topological phases by using a lattice model.
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subjects Metalloids
Phase transitions
Phases
Symmetry
Topological insulators
Topology
Two dimensional models
title Second-order topological phases protected by chiral symmetry
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