@article{5b3e197722d14938820d2f0c3535295e,
title = "Vectorial Bulk-Boundary Correspondence for 3D Photonic Chern Insulators",
abstract = "In 2D Chern insulators, the topology of the bulk states is captured by a topological invariant, the Chern number. The scalar bulk-boundary correspondence (sBBC) relates the change in Chern number across an interface with the number of 1D chiral edge modes at the interface. However, 3D Chern insulators (3D CIs) can be characterized by a Chern vector (Formula presented.) and a more general vector bulk-boundary correspondence (vBBC) is needed to correctly predict the propagation of the surface modes. In this work the possible interfaces between 3D photonic CIs are explored, focusing on possible changes in Chern vector orientation. To formulate a 3D vBBC, a link is derived between the Chern vector discontinuity across an interface and the winding of the surface equifrequency loops on the boundary. Last, it is demonstrated how to correctly predict the number and the propagation direction of topological photonic surface modes in 3D CIs.",
keywords = "Chern vectors, bulk-boundary correspondence, photonic surface modes, planar interfaces",
author = "Chiara Devescovi and Mikel Garc{\'i}a-D{\'i}ez and Barry Bradlyn and Ma{\~n}es, {Juan L.} and Vergniory, {Maia G.} and Aitzol Garc{\'i}a-Etxarri",
note = "A.G.‐E. and C.D. acknowledges support from the Spanish Ministerio de Ciencia e Innovaci{\'o}n (PID2019‐109905GA‐C2) and from Eusko Jaurlaritza (KK‐2021/00082). M.G.‐D. and M.G.V. acknowledge the Spanish Ministerio de Ciencia e Innovacion (grant PID2019‐109905GB‐C21). A.G.‐E. and M.G.V. acknowledge funding from Programa Red Guipuzcoana de Ciencia, Tecnolog{\'i}a e Innovaci{\'o}n 2021 (grant No. 2021‐CIEN‐000070‐01. Gipuzkoa Next) from the Basque Government's IKUR initiative on Quantum technologies (Department of Education). The work of B.B. is supported by the Air Force Office of Scientific Research under award number FA9550‐21‐1‐0131. C.D. acknowledges financial support from the MICIU through the FPI PhD Fellowship CEX2018‐000867‐S‐19‐1. The work of J.L.M. has been supported by Spanish Science Ministry grants PGC2018‐094626‐B‐C21 (MCIU/AEI/FEDER, EU) and PID2021‐123703NB‐C21 (MCIU/AEI/FEDER, EU), and Basque Government grant IT979‐16. M.G.‐D. acknowledges the financial support of the Government of the Basque Country as a recipient of the grant from Predoctoral Programme PRE‐2021‐2‐0089. A.G.-E. and C.D. acknowledges support from the Spanish Ministerio de Ciencia e Innovaci{\'o}n (PID2019-109905GA-C2) and from Eusko Jaurlaritza (KK-2021/00082). M.G.-D. and M.G.V. acknowledge the Spanish Ministerio de Ciencia e Innovacion (grant PID2019-109905GB-C21). A.G.-E. and M.G.V. acknowledge funding from Programa Red Guipuzcoana de Ciencia, Tecnolog{\'i}a e Innovaci{\'o}n 2021 (grant No. 2021-CIEN-000070-01. Gipuzkoa Next) from the Basque Government's IKUR initiative on Quantum technologies (Department of Education). The work of B.B. is supported by the Air Force Office of Scientific Research under award number FA9550-21-1-0131. C.D. acknowledges financial support from the MICIU through the FPI PhD Fellowship CEX2018-000867-S-19-1. The work of J.L.M. has been supported by Spanish Science Ministry grants PGC2018-094626-B-C21 (MCIU/AEI/FEDER, EU) and PID2021-123703NB-C21 (MCIU/AEI/FEDER, EU), and Basque Government grant IT979-16. M.G.-D. acknowledges the financial support of the Government of the Basque Country as a recipient of the grant from Predoctoral Programme PRE-2021-2-0089.",
year = "2022",
month = oct,
day = "18",
doi = "10.1002/adom.202200475",
language = "English (US)",
volume = "10",
journal = "Advanced Optical Materials",
issn = "2195-1071",
publisher = "John Wiley & Sons, Ltd.",
number = "20",
}