Generation of higher-order topological insulators using periodic driving
Nov 28, 202325 pages
Published in:
- J.Phys.Condens.Matter 36 (2024) 9, 093001,
- J.Phys.Condens.Matter 36 (2024) 093001
- Published: Nov 28, 2023
e-Print:
- 2311.17018 [cond-mat.mes-hall]
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Abstract: (IOP)
Topological insulators (TIs) are a new class of materials that resemble ordinary band insulators in terms of a bulk band gap but exhibit protected metallic states on their boundaries. In this modern direction, higher-order TIs (HOTIs) are a new class of TIs in dimensions d > 1. These HOTIs possess -dimensional boundaries that, unlike those of conventional TIs, do not conduct via gapless states but are themselves TIs. Precisely, an nth order d-dimensional higher-order TI is characterized by the presence of boundary modes that reside on its -dimensional boundary. For instance, a three-dimensional second (third) order TI hosts gapless (localized) modes on the hinges (corners), characterized by . Similarly, a second-order TI (SOTI) in two dimensions only has localized corner states (). These higher-order phases are protected by various crystalline as well as discrete symmetries. The non-equilibrium tunability of the topological phase has been a major academic challenge where periodic Floquet drive provides us golden opportunity to overcome that barrier. Here, we discuss different periodic driving protocols to generate Floquet HOTIs while starting from a non-topological or first-order topological phase. Furthermore, we emphasize that one can generate the dynamical anomalous π-modes along with the concomitant 0-modes. The former can be realized only in a dynamical setup. We exemplify the Floquet higher-order topological modes in two and three dimensions in a systematic way. Especially, in two dimensions, we demonstrate a Floquet SOTI (FSOTI) hosting 0- and π corner modes. Whereas a three-dimensional FSOTI and Floquet third-order TI manifest one- and zero-dimensional hinge and corner modes, respectively.Note:
- Invited Topical Review Article for JPCM. This is the published version
- ID
- generation
- higher-order
- topological
- insulators
- periodic
- Floquet systems
References(161)
Figures(19)
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