期刊
PHYSICAL REVIEW LETTERS
卷 126, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.126.127403
关键词
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资金
- H2020-FETFLAG project PhoQus [820392]
- QUANTERA project Interpol [ANR-QUAN-0003-05]
- European Research Council (ERC) under the European Union [865151]
- French National Research Agency project Quantum Fluids of Light [ANR-16-CE30-0021]
- French government through the Programme Investissement d'Avenir [I-SITE ULNE/ANR-16-IDEX-0004 ULNE]
- French RENATECH network
- Labex CEMPI [ANR-11-LABX-0007]
- CPER Photonics for Society P4S
- Metropole Europ'eenne de Lille (MEL) via the project TFlight
- Spanish Ministry MINECO [FIS2016-79508-P, FIDEUA PID2019-106901GB-I00, FIS2017-84114-C2-1-P, CEX2019-000910-S]
- Generalitat de Catalunya (AGAUR) [2017 SGR1341]
- State Research Agency (AEI) [PCI2019-111828-2]
- EU Horizon 2020 FET-OPEN OPTOLogic [899794]
- National Science Centre, Poland-Symfonia Grant [2016/20/W/ST4/00314]
- Juan de la Cierva fellowship [IJCI-201733180]
- Ramon y Cajal program
- EU FEDER [QuantumCAT _U16-01142]
- ERDF Operational Program of Catalonia
- Marie Sklodowska-Curie individual fellowship ToPol
- la Caixa Foundation [LCF/BQ/PR20/11770012]
- Fundacio Cellex
- Generalitat de Catalunya (CERCA Program)
- European Social Fund
- European Research Council (ERC) [865151] Funding Source: European Research Council (ERC)
This study demonstrates a novel scheme to directly access 1D topological invariants in lattices of semiconductor microcavities, by utilizing a combined real- and momentum-space measurement. The extracted invariants in arrays emulating the physics of regular and critically compressed graphene provide direct evidence of the bulk-edge correspondence in these systems, offering opportunities for exploring more complex topological effects involving disorder and interactions.
Topological materials rely on engineering global properties of their bulk energy bands called topological invariants. These invariants, usually defined over the entire Brillouin zone, are related to the existence of protected edge states. However, for an important class of Hamiltonians corresponding to 2D lattices with time-reversal and chiral symmetry (e.g., graphene), the existence of edge states is linked to invariants that are not defined over the full 2D Brillouin zone, but on reduced 1D subspaces. Here, we demonstrate a novel scheme based on a combined real- and momentum-space measurement to directly access these 1D topological invariants in lattices of semiconductor microcavities confining exciton polaritons. We extract these invariants in arrays emulating the physics of regular and critically compressed graphene where Dirac cones have merged. Our scheme provides a direct evidence of the bulk-edge correspondence in these systems and opens the door to the exploration of more complex topological effects, e.g., involving disorder and interactions.
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