Um novo estudo liderado por Vinod M. Menon e seu grupo no City College de Nova York mostra que prender a luz dentro de materiais magnéticos pode melhorar drasticamente suas propriedades intrínsecas. Fortes respostas ópticas de ímãs são...
![](data:image/jpeg;base64,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)
A luz aprisionada dentro de um cristal magnético pode aumentar fortemente suas interações magneto-ópticas. Crédito: Rezlind Bushati.
Um novo estudo liderado por Vinod M. Menon e seu grupo no City College de Nova York mostra que prender a luz dentro de materiais magnéticos pode melhorar drasticamente suas propriedades intrínsecas. Fortes respostas ópticas de ímãs são importantes para o desenvolvimento de lasers magnéticos e dispositivos de memória magneto-óptica, bem como para aplicações emergentes de transdução quântica.
Em seu novo artigo na Nature , Menon e sua equipe relatam as propriedades de um ímã em camadas que hospeda excitons fortemente ligados – quasipartículas com interações ópticas particularmente fortes. Por causa disso, o material é capaz de capturar a luz por si só.
Como mostram seus experimentos, as respostas ópticas desse material aos fenômenos magnéticos são ordens de magnitude mais fortes do que as dos ímãs típicos. "Como a luz salta para frente e para trás dentro do ímã, as interações são genuinamente aprimoradas", disse o Dr. Florian Dirnberger, principal autor do estudo.
"Para dar um exemplo, quando aplicamos um campo magnético externo, o reflexo da luz no infravermelho próximo é tão alterado que o material basicamente muda de cor. Essa é uma resposta magneto-óptica bastante forte."
"Normalmente, a luz não responde tão fortemente ao magnetismo ", disse Menon. "É por isso que as aplicações tecnológicas baseadas em efeitos magneto-ópticos geralmente exigem a implementação de esquemas de detecção óptica sensíveis."
Sobre como os avanços podem beneficiar as pessoas comuns, o coautor do estudo, Jiamin Quan, disse: "Aplicações tecnológicas de materiais magnéticos hoje estão principalmente relacionadas a fenômenos magnetoelétricos. Dadas essas fortes interações entre magnetismo e luz, podemos agora esperar um dia criar lasers magnéticos e pode reconsiderar velhos conceitos de memória magnética controlada opticamente." Rezlind Bushati, estudante de pós-graduação do grupo Menon, também contribuiu para o trabalho experimental .
Mais informações: Florian Dirnberger et al, Magneto-óptica em um ímã de van der Waals sintonizado por polaritons auto-hibridizados, Nature (2023). DOI: 10.1038/s41586-023-06275-2
Informações da revista: Nature