Cubic 3D Chern photonic insulators with orientable large Chern vectors

Devescovi, Chiara; García‐Díez, Mikel; Robredo, Iñigo; Paz, María Blanco de; Bradlyn, Barry; Mañes, Juan L.; Vergniory, Maia G.; García‐Etxarri, Aitzol

doi:10.21203/rs.3.rs-613782/v1

Cited by 2 publications

(4 citation statements)

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“…[1,37] An obstruction in this layer structure across the interface can give rise to extra chiral boundary modes, [33,38] even without a discontinuity in the Chern vector, [33] beyond what expected from a simple extension of 2D sBBC to 3D. The concept of obstructed 3D Chern Insulators (o3D CI) and their chiral photonic hinge modes will be explored in forthcoming work; [34] Finally, our analysis was performed using 1D linear supercells, due to numerical limitations. However, more complex…”

Section: Open Research Linesmentioning

confidence: 99%

“…However such interfaces may be interesting from the point of view of "higher order" topology, [33] and will be explored in a future work. [34] For each interface (1)-( 3), the number and propagation direction of the emerging surface states were characterized and the vectorial aspects of BBC were investigated using a combined real-reciprocal space analysis. First, the surface states in the frequency domain were analyzed, showing the SS energy sheets as a function of surface momenta k y , k z on the (100) plane.…”

Section: Surface: Domain-wall Planar Interfacesmentioning

confidence: 99%

“…However such interfaces may be interesting from the point of view of “higher order” topology, [ 33 ] and will be explored in a future work. [ 34 ]…”

Section: Design Of the Bulk 3d CImentioning

confidence: 99%

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Vectorial Bulk‐Boundary Correspondence for 3D Photonic Chern Insulators

Devescovi

García‐Díez

Bradlyn

et al. 2022

Advanced Optical Materials

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The (conserved) component of the group velocity normal to the magnetization axis (i.e., the Chern vector direction) has a welldefined sign and surface states cannot back-scatter along this specific direction.In 2D, the Chern vector is always fixed along the axis of the reduced dimensionality, that is, orthogonal to the plane of the system. Therefore, it can be regarded as a scalar quantity: the Chern number C, which characterizes the bulk topology of 2D CIs. [7][8][9] In this case, a "scalar" version of the bulk-boundary correspondence (sBBC) can be defined, to connect the bulk topology to the number of boundary modes. [10,11] According to sBBC in 2D CIs, an interface between two systems with Chern numbers C 1 , C 2 has n e = |C 1 − C 2 | protected chiral edge states. This means that chiral edge states can only appear in presence of a discontinuity of Chern numbers across the interface, that is, C 1 ≠ C 2 . [12][13][14][15] On the contrary, the interface between two 3D CIs can have Chern vectors C 1 and C 2 that need not be parallel/anti-parallel to each other. [2,16] This leads to vectorial aspects of the bulk boundary correspondance (BBC) which must be taken into account in order to correctly define a "vectorial" BBC (vBBC).In the broader context of topological insulators, the literature has discussed the vectorial aspects of BBC mostly in relation to 3D quantum spin-Hall fermionic insulators. [17][18][19] Such systems are characterized by vectors of 2  invariants and rely on time-reversal symmetry (TRS). However, the photonic 3D CIs studied in this manuscript break TRS and display non-zero Chern vectors, requiring a suited vectorial BBC. While scalar bulk-boundary correspondence is a well-established concept in 2D photonic crystals with broken TRS, [12][13][14][15]20] less is known in photonic 3D CIs, recently demonstrated in ref. [6] which is what motivated our work. We believe that this limited knowledge is related to the fact that, in condensed matter systems, the 3D quantum Hall effect is usually discussed in layered systems. [21][22][23][24][25][26][27][28] Since layered systems have a preferred axis, and since the magnetic field needs to be along this axis, the vectorial nature does not come up. On the contrary, the possibility of orienting Chern vectors in space demonstrated in photonic crystals, [6] open up the possibility of constructing domain walls between different orientations, and thus a definition of a vectorial BBC is required.

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Section: Open Research Linesmentioning

confidence: 99%

Section: Surface: Domain-wall Planar Interfacesmentioning

confidence: 99%

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Vectorial Bulk‐Boundary Correspondence for 3D Photonic Chern Insulators

Devescovi

García‐Díez

Bradlyn

et al. 2022

Advanced Optical Materials

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“…Finally, we would like to briefly discuss the gapped photonic topological phases. In general, 3D photonic Chern insulators could be characterized by three first Chern numbers, i.e., a Chern vector C = (C x , C y , C z ), defined on lower dimensional surfaces [329,330]. The above discussed gapless degeneracies, such as Weyl/Dirac points, or nodal lines could be gapped to generate a nontrivial bandgap by changing the parameters of the systems, e.g., in magnetic photonic crystals, nontrivial bandgap could be obtained by gapping out 3D Dirac points as theoretically studied in [331,332] (Fig.…”

Section: Topological Photonics In 3dmentioning

confidence: 99%

A brief review of topological photonics in one, two, and three dimensions

Lan,

Chen,

Gao

et al. 2022

Preprint

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FIG. 2. 1D photonic SSH systems and their applications. (a) Near-field imaging of topological edge states in plasmonic nanochains. Reproduced with permission from [51], Copyright (2021), under CC BY-NC-ND. (b) Lasing at the topological edge states in a photonic crystal nanocavity dimer array. Reproduced with permission from [57], Copyright (2019), under CC BY 4.0. (c) Selective enhancement of interface states in a dielectric resonator chain. Reproduced with permission from [60], Copyright (2015), under CC BY 4.0. (d) Periodically bended ultrathin metallic waveguides for the observation of anomalous π modes via photonic floquet engineering. Reproduced with permission from [66], Copyright (2019) by the American Physical Society. (e) Protection of biphoton entanglement in an array of silicon nanowires. Reproduced with permission from [68], Copyright (2018) by the American Association for the Advancement of Science. (f) Photonic topological baths for quantum simulation. Reproduced with permission from [70], Copyright (2022) by the American Chemical Society. (g) Two coupled topological interfaces in waveguide arrays. Reproduced with permission from [72], Copyright (2020) by the American Chemical Society. (h) Selective excitation of topological edge states controlled by the handedness of incident light. Reproduced with permission from [76], Copyright (2016) by John Wiley and Sons.

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Cubic 3D Chern photonic insulators with orientable large Chern vectors

Cited by 2 publications

References 54 publications

Vectorial Bulk‐Boundary Correspondence for 3D Photonic Chern Insulators

Vectorial Bulk‐Boundary Correspondence for 3D Photonic Chern Insulators

A brief review of topological photonics in one, two, and three dimensions

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