Quantized electric multipole insulators
TLDR
This work introduces a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked and opens a venue for the expansion of the classification of topological phases of matter.Abstract:
The Berry phase provides a modern formulation of electric polarization in crystals. We extend this concept to higher electric multipole moments and determine the necessary conditions and minimal models for which the quadrupole and octupole moments are topologically quantized electromagnetic observables. Such systems exhibit gapped boundaries that are themselves lower-dimensional topological phases. Furthermore, they host topologically protected corner states carrying fractional charge, exhibiting fractionalization at the boundary of the boundary. To characterize these insulating phases of matter, we introduce a paradigm in which “nested” Wilson loops give rise to topological invariants that have been overlooked. We propose three realistic experimental implementations of this topological behavior that can be immediately tested. Our work opens a venue for the expansion of the classification of topological phases of matter.read more
Citations
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Higher-order topological solitonic insulators
TL;DR: In this article, the authors theoretically study the dipolar-coupled gyration motion of magnetic solitons on the two-dimensional breathing kagome lattice and predict both the Tamm-Shockley edge modes and the second-order corner states when the ratio between alternate lattice constants is greater than a critical value.
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Dislocation as a bulk probe of higher-order topological insulators
Bitan Roy,Vladimir Juricic +1 more
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Hinged quantum spin Hall effect in antiferromagnetic topological insulators
TL;DR: In this paper, the authors predict a hinged quantum spin Hall (HQSH) effect featured by a pair of counterpropagating chiral hinge modes in antiferromagnetic (AFM) topological insulator (TI) multilayers.
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Interaction-Driven Surface Chern Insulator in Nodal Line Semimetals.
Wei Chen,Wei Chen,Jose L. Lado +2 more
TL;DR: In this article, the authors show that nodal line semimetals are a promising platform to implement surface Chern insulators and dissipationless electron transport by exploiting enhanced interaction effects of the DSS.
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Two-dimensional higher-order topology in monolayer graphdiyne
TL;DR: Based on first-principles calculations and tight-binding model analysis, the authors proposed monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry.
References
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New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance
TL;DR: In this article, the Hall voltage of a two-dimensional electron gas, realized with a silicon metal-oxide-semiconductor field effect transistor, was measured and it was shown that the Hall resistance at particular, experimentally well-defined surface carrier concentrations has fixed values which depend only on the fine-structure constant and speed of light, and is insensitive to the geometry of the device.
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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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Theory of polarization of crystalline solids
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