ama£s fortes da£o uma nova reviravolta nos fa´nons: pesquisa revela influaªncia inesperada na rede cristalina do composto
Cientistas da Rice University, liderados pelo fasico Junichiro Kono e pelo pesquisador de pa³s-doutorado Andrey Baydin, desencadearam o efeito inesperado em um cristal semicondutor totalmente não magnético de chumbo e telaºrio (PbTe).
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)
O pesquisador de pa³s-doutorado da Rice University, Andrey Baydin, se prepara para realizar um experimento no RAMBO, o Rice Advanced Magnet with Broadband Optics, um espectra´metro de mesa que permite que os materiais sejam resfriados e expostos a campos magnanãticos elevados. O instrumento ajudou a descobrir um fena´meno pelo qual fa´nons não magnanãticos podem ser manipulados por um campo magnanãtico. Crédito: Jeff Fitlow/Rice University
Os fa´nons são vibrações atômicas coletivas, ou quasipartaculas, que atuam como os principais transportadores de calor em uma rede cristalina. Sob certas circunsta¢ncias, suas propriedades podem ser modificadas por campos elanãtricos ou luz. Mas atéagora, ninguanãm havia notado que eles também podem responder a campos magnanãticos.
Isso pode ser porque épreciso um ama£ poderoso.
Cientistas da Rice University, liderados pelo fasico Junichiro Kono e pelo pesquisador de pa³s-doutorado Andrey Baydin, desencadearam o efeito inesperado em um cristal semicondutor totalmente não magnético de chumbo e telaºrio (PbTe). Eles expuseram a pequena amostra a um forte campo magnético e descobriram que podiam manipular o modo de fa´non a³ptico "suave" do material .
Diferentemente dos fa´nons acaºsticos que podem ser entendidos como a¡tomos que se movem em sincronia, produzem ondas sonoras e influenciam a condutividade tanãrmica de um material, os fa´nons a³pticos são representados por a¡tomos vizinhos que oscilam em direções opostas e podem ser excitados pela luz; daa, a etiqueta "a³ptica".
Experimentos revelaram o dicroasmo circular magnético fona´nico do material, um fena´meno pelo qual campos magnanãticos canhotos excitam fa´nons destros e vice-versa, sob campos magnanãticos relativamente baixos (9 Tesla). (Em comparação, um ama£ de geladeira é5 miliTesla, ou 45.000 vezes mais fraco.)
Bombear o campo para 25 Tesla levou a amostra a divisão de Zeeman, na qual as linhas espectrais se separam como a luz atravanãs de um prisma, mas em um campo magnanãtico, uma característica cratica em dispositivos de ressonância magnanãtica nuclear. As linhas também exibiram uma mudança geral com o campo magnanãtico. Eles relataram que esses efeitos eram muito mais fortes do que o esperado pela teoria.
"Este trabalho revela uma nova maneira de controlar os fa´nons", disse Kono sobre o estudo, que aparece na Physical Review Letters . “Ninguanãm esperava que os fa´nons pudessem ser controlados por um campo magnanãtico, porque os fa´nons geralmente não respondem a campos magnanãticos, a menos que o cristal seja magnanãticoâ€.
A descoberta foi possível graças ao RAMBO (o Rice Advanced Magnet with Broadband Optics), um espectra´metro de mesa no laboratório de Kono que permite que os materiais sejam resfriados e expostos a campos magnanãticos elevados. Atingir a amostra com lasers permite aos pesquisadores rastrear o movimento e o comportamento de elanãtrons e a¡tomos dentro do material.
Nesse caso, os a¡tomos alternados reagem de forma diferente sob o conjunto de condições osbaixa temperatura, magnetizado e desencadeado por ondas terahertz osimpostas pelo RAMBO. O espectra´metro detecta a absorção de luz polarizada pelos fa´nons.
"O campo magnético força esses aons a oscilar em uma a³rbita circular", disse o coautor Baydin, pesquisador de pa³s-doutorado no laboratório de Kono. "O resultado éque o momento magnético efetivo desses fa´nons émuito grande.
"Nãoháinterações ressonantes entre fa´nons e elanãtrons em campos magnanãticos altos, então éimpossível que os elanãtrons tenham causado a resposta magnanãtica dos fa´nons", disse ele. “O que ésurpreendente éque os pra³prios fa´nons parecem estar respondendo diretamente ao campo magnanãtico, que as pessoas não tinham visto antes e não achavam que fosse possívelâ€.
Kono disse que as aplicações da descoberta ainda precisam ser vistas, mas ele suspeita que seja de interesse para os tecna³logos qua¢nticos. "Acho que essa descoberta surpreendente tem implicações de longo prazo na fona´nica qua¢ntica, porque agora háuma maneira de controlar os fa´nons usando um campo magnético ", disse ele.
Felix Hernandez da Universidade de Sa£o Paulo, Brasil, e Martin Rodriguez-Vega do Laborata³rio Nacional de Los Alamos são coautores principais do artigo. Os coautores são Anderson Okazaki, Paulo Rappl e Eduardo Abramof do Instituto Nacional de Pesquisas Espaciais, Sa£o Paulo, Brasil; o estudante de pós-graduação em física aplicada Fuyang Tay e o ex-aluno Timothy Noe da Rice; Ikufumi Katayama e Jun Takeda da Yokohama National University, Japa£o; Hiroyuki Nojiri da Universidade de Tohoku, Japa£o; e Gregory Fiete da Northeastern University e do Massachusetts Institute of Technology.