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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Hinge solitons in three-dimensional second-order topological insulators
TL;DR: In this article, the existence of stable solitons localized on the hinges of a second-order topological insulator in three dimensions was shown by means of a systematic numerical study, and the soliton propagates along the hinge unidirectionally without changing its shape.
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Topological non-Hermitian skin effect
TL;DR: In this article , a review of recent developments in the non-Hermitian skin effect (NHSE), particularly on its rich interplay with topology, is presented, with a pedagogical introduction on the modified bulk-boundary correspondence.
Journal Article
Higher Order Bosonic Topological Phases in Spin Models
Oleg Dubinkin,Taylor L. Hughes +1 more
TL;DR: In this article, two spin models for a second-order topological phase protected by a global symmetry were presented, one from layers of an exactly solvable cluster model for a one-dimensional and the other from more conventional spin couplings (XY or Heisenberg).
Posted Content
Acoustic corner states in topological insulators with built-in Zeeman-like fields
TL;DR: In this article, a phononic crystal, designed as a bilayer of coupled acoustic cavities, was shown to have exactly the Kane-Mele model with built-in in-plane Zeeman fields.
Journal ArticleDOI
Simulating Floquet topological phases in static systems
TL;DR: In this article, it was shown that scattering from the boundary of static, higher-order topological insulators (HOTIs) can be used to simulate the behavior of (time-periodic) FLOQUES.
References
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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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