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• W3105237177 abstract "Modern theory of electric polarization is formulated by the Berry phase, which, when quantized, leads to topological phases of matter. Such a formulation has recently been extended to higher electric multipole moments, through the discovery of the so-called quadupole topological insulator. It has been established by a classical electromagnetic theory that in a two-dimensional material the quantized properties for the quadupole topological insulator should satisfy a basic relation. Here we discover a new type of quadrupole topological insulator (dubbed type-II) that violates this relation due to the breakdown of the correspondence that a Wannier band and an edge energy spectrum close their gaps simultaneously. We find that, similar to the previously discovered (referred to as type-I) quadrupole topological insulator, the type-II hosts topologically protected corner states carrying fractional corner charges. However, the edge polarizations only occur at a pair of boundaries in the type-II insulating phase, leading to the violation of the classical constraint. We demonstrate that such new topological phenomena can appear from quench dynamics in non-equilibrium systems, which can be experimentally observed in ultracold atomic gases. We also propose an experimental scheme with electric circuits to realize such a new topological phase of matter. The existence of the new topological insulating phase means that new multipole topological insulators with distinct properties can exist in broader contexts beyond classical constraints." @default.
• W3105237177 created "2020-11-23" @default.
• W3105237177 creator A5002462951 @default.
• W3105237177 creator A5038813157 @default.
• W3105237177 creator A5043349970 @default.
• W3105237177 creator A5051363890 @default.
• W3105237177 date "2020-07-07" @default.
• W3105237177 modified "2023-09-27" @default.
• W3105237177 title "Type-II quadrupole topological insulators" @default.
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• W3105237177 doi "https://doi.org/10.1103/physrevresearch.2.033029" @default.
• W3105237177 hasPublicationYear "2020" @default.
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