O resultado abre um novo potencial para os elementos actinadeos na parte inferior da tabela peria³dica e aponta para uma nova direa§a£o na pesquisa em materiais qua¢nticos topola³gicos.
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)
Pesquisa publicada na Science Advances descobriu que o grande acoplamento spin-a³rbita e fortes correlações eletra´nicas em um sistema de ura¢nio-cobalto-alumanio dopado com rutaªnio resultou em uma condutividade Nernst ana´mala colossal. O ura¢nio e as ligas de actinadeo são materiais promissores para estudar a interação entre a topologia de um material e as fortes correlações de elanãtrons, que podem um dia ter aplicações em tecnologias de informação qua¢ntica. Crédito: Laborata³rio Nacional de Los Alamos
Uma nova pesquisa demonstrou que um composto de ura¢nio magnético pode ter fortes propriedades termoelanãtricas, gerando quatro vezes a tensão transversal do calor do que o registro anterior em um composto de cobalto-manganaªs-ga¡lio. O resultado abre um novo potencial para os elementos actinadeos na parte inferior da tabela peria³dica e aponta para uma nova direção na pesquisa em materiais qua¢nticos topola³gicos.
"Descobrimos que o grande acoplamento spin-a³rbita e fortes correlações eletra´nicas em um sistema de ura¢nio-cobalto-alumanio dopado com rutaªnio resultou em uma condutividade Nernst colossal ana´mala", disse Filip Ronning, principal investigador do artigo publicado hoje na Science Advances . Ronning édiretor do Instituto de Ciência de Materiais do Laborata³rio Nacional de Los Alamos. "Isso ilustra que o ura¢nio e as ligas de actinadeo são materiais promissores para estudar a interação entre a topologia de um material e as fortes correlações de elanãtrons. Estamos muito interessados ​​em compreender, ajustar e, eventualmente, controlar essa interação, então, esperana§osamente, um dia poderemos explorar alguns deles respostas nota¡veis. "
A resposta de Nernst ocorre quando um material converte um fluxo de calor em uma voltagem elanãtrica. Este fena´meno termoelanãtrico pode ser explorado em dispositivos que geram eletricidade a partir de uma fonte de calor. O exemplo atual mais nota¡vel são os geradores termoelanãtricos de radioisãotopos (RTGs) que foram desenvolvidos em parte em Los Alamos. Os RTGs usam o calor da decomposição radioativa natural do pluta´nio-238 para gerar eletricidade - um desses RTG estãoatualmente alimentando o rover Perseverance em Marte.
"O que éempolgante éque esse efeito colossal ana´malo de Nernst parece ser devido a rica topologia do material. Essa topologia écriada por um grande acoplamento spin-a³rbita, que écomum em actinadeos", disse Ronning. "Uma consequaªncia da topologia em metais éa geração de uma velocidade transversal, que pode dar origem a uma resposta de Nernst como observamos. Ela também pode gerar outros efeitos, como novos estados desuperfÍcie que podem ser aºteis em várias tecnologias de informação qua¢ntica."
O sistema de ura¢nio estudado pela equipe de Los Alamos gerou 23 microvolts por kelvin de mudança de temperatura - quatro vezes maior do que o recorde anterior, que foi descoberto em uma liga de cobalto-manganaªs-ga¡lio hálguns anos e também atribuado a esses tipos de origens.