Open AccessJournal Article
(d - 2)-dimensional edge states of rotation symmetry protected topological states
Zhida Song,Zhong Fang,Chen Fang +2 more
TLDR
Theoretically, topological insulators are topological topologists that are insulating in their interior and on their surfaces but have conducting channels at corners or along edges as discussed by the authors.Abstract:
Theorists have discovered topological insulators that are insulating in their interior and on their surfaces but have conducting channels at corners or along edges.read more
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Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems.
TL;DR: This work provides a comprehensive framework for generalized bulk-boundary correspondence and a quantized biorthogonal polarization that is formulated directly in systems with open boundaries, including exactly solvable non-Hermitian extensions of the Su-Schrieffer-Heeger model and Chern insulators.
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A complete catalogue of high-quality topological materials
Maia G. Vergniory,Maia G. Vergniory,Maia G. Vergniory,Luis Elcoro,Claudia Felser,Nicolas Regnault,B. Andrei Bernevig,B. Andrei Bernevig,B. Andrei Bernevig,Zhijun Wang,Zhijun Wang +10 more
TL;DR: Using a recently developed formalism called topological quantum chemistry, a high-throughput search of ‘high-quality’ materials in the Inorganic Crystal Structure Database is performed and it is found that more than 27 per cent of all materials in nature are topological.
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Higher-Order Topological Insulators and Semimetals on the Breathing Kagome and Pyrochlore Lattices.
TL;DR: A second-order topological insulator in d dimensions is an insulator which has no d-1 dimensional topological boundary states but has d-2 dimensional topology boundary states, which constitutes the bulk topological index.
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Comprehensive search for topological materials using symmetry indicators
TL;DR: An algorithm based on symmetry indicators is used to search a crystallographic database and finds thousands of candidate topological materials, which could be exploited in next-generation electronic devices.
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Acoustic higher-order topological insulator on a kagome lattice.
TL;DR: A second-order topological insulator in an acoustical metamaterial with a breathing kagome lattice, supporting one-dimensional edge states and zero-dimensional corner states is demonstrated, and shape dependence allows corner states to act as topologically protected but reconfigurable local resonances.
References
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Journal ArticleDOI
Colloquium: Topological insulators
M. Z. Hasan,Charles L. Kane +1 more
TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
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Topological insulators and superconductors
Xiao-Liang Qi,Shou-Cheng Zhang +1 more
TL;DR: Topological superconductors are new states of quantum matter which cannot be adiabatically connected to conventional insulators and semiconductors and are characterized by a full insulating gap in the bulk and gapless edge or surface states which are protected by time reversal symmetry.
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Topological insulators in three dimensions.
TL;DR: In this paper, the authors studied three-dimensional generalizations of the quantum spin Hall (QSH) effect and introduced a tight binding model which realized the WTI and STI phases, and discussed its relevance to real materials including bismuth.
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Maximally localized generalized Wannier functions for composite energy bands
Nicola Marzari,David Vanderbilt +1 more
TL;DR: In this paper, a method for determining the optimally localized set of generalized Wannier functions associated with a set of Bloch bands in a crystalline solid is presented, which is suitable for use in connection with conventional electronic-structure codes.
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Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
TL;DR: In this article, the O(3) nonlinear sigma model of the large-spin one-dimensional Heisenberg antiferromagnet was shown to be the optimal model for weak easy-axis anisotropy.