Cientistas da Rice University descobriram um material inédito, um metal cristalino 3D no qual as correlações quânticas e a geometria da estrutura cristalina se combinam para frustrar o movimento dos elétrons e prendê-los no lugar.
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)
A pesquisa de pós-doutorado da Rice University associou Jianwei Huang ao aparelho de laboratório que ele usou para conduzir experimentos de espectroscopia de fotoemissão com resolução de ângulo em uma liga de cobre-vanádio. Os experimentos mostraram que a liga é o primeiro material conhecido em que a estrutura cristalina 3D e as fortes interações quânticas frustram o movimento dos elétrons e os prendem no lugar, resultando em uma banda eletrônica plana. Crédito: Jeff Fitlow/Rice University
Cientistas da Rice University descobriram um material inédito, um metal cristalino 3D no qual as correlações quânticas e a geometria da estrutura cristalina se combinam para frustrar o movimento dos elétrons e prendê-los no lugar.
A descoberta é detalhada em um estudo publicado na Nature Physics . O artigo também descreve o princípio do projeto teórico e a metodologia experimental que orientou a equipe de pesquisa até o material. Uma parte de cobre, duas partes de vanádio e quatro partes de enxofre, a liga apresenta uma rede de pirocloro 3D que consiste em tetraedros que compartilham os cantos.
“Procuramos materiais onde existam potencialmente novos estados da matéria ou novas características exóticas que não foram descobertas”, disse o coautor do estudo, Ming Yi, físico experimental de Rice.
Os materiais quânticos são um lugar provável para procurar, especialmente se hospedarem fortes interações de elétrons que dão origem ao emaranhamento quântico . O emaranhamento leva a comportamentos eletrônicos estranhos, incluindo a frustração do movimento dos elétrons até o ponto em que eles ficam presos no lugar.
“Este efeito de interferência quântica é análogo às ondas que ondulam na superfície de um lago e se encontram de frente”, disse Yi. "A colisão cria uma onda estacionária que não se move. No caso de materiais reticulados geometricamente frustrados, são as funções das ondas eletrônicas que interferem destrutivamente."
A localização de elétrons em metais e semimetais produz bandas eletrônicas planas, ou bandas planas. Nos últimos anos, os físicos descobriram que o arranjo geométrico dos átomos em alguns cristais 2D, como as redes de Kagome, também pode produzir bandas planas. O novo estudo fornece evidências empíricas do efeito em um material 3D.
Usando uma técnica experimental chamada espectroscopia de fotoemissão com resolução de ângulo , ou ARPES, Yi e o principal autor do estudo, Jianwei Huang, pesquisador de pós-doutorado em seu laboratório, detalharam a estrutura da banda do material cobre-vanádio-enxofre e descobriram que ele hospedava uma banda plana que é único em vários aspectos.
“Acontece que ambos os tipos de física são importantes neste material”, disse Yi. "O aspecto da frustração geométrica estava presente, como a teoria havia previsto. A agradável surpresa foi que também houve efeitos de correlação que produziram a banda plana no nível de Fermi, onde pode participar ativamente na determinação das propriedades físicas."
Na matéria do estado sólido, os elétrons ocupam estados quânticos divididos em bandas. Essas bandas eletrônicas podem ser imaginadas como degraus de uma escada, e a repulsão eletrostática limita o número de elétrons que podem ocupar cada degrau. O nível de Fermi, uma propriedade inerente aos materiais e crucial para determinar sua estrutura de bandas, refere-se ao nível de energia da posição ocupada mais alta na escada.
O físico teórico de Rice e coautor correspondente do estudo, Qimiao Si, cujo grupo de pesquisa identificou a liga de cobre-vanádio e sua estrutura cristalina de pirocloro como sendo um possível hospedeiro para efeitos combinados de frustração da geometria e fortes interações de elétrons, comparou a descoberta à descoberta de um novo continente.
"É o primeiro trabalho a realmente mostrar não apenas esta cooperação entre a frustração impulsionada pela geometria e pela interação, mas também o próximo estágio, que é colocar os elétrons no mesmo espaço no topo da escada (energética), onde há uma chance máxima de sua reorganização em novas fases interessantes e potencialmente funcionais", disse Si.
Ele disse que a metodologia preditiva ou princípio de design que seu grupo de pesquisa usou no estudo também pode ser útil para teóricos que estudam materiais quânticos com outras estruturas de rede cristalina.
“O pirocloro não é o único jogo da cidade”, disse Si. "Este é um novo princípio de design que permite aos teóricos identificar de forma preditiva materiais nos quais surgem bandas planas devido a fortes correlações eletrônicas."
Yi explicou que também há muito espaço para futuras explorações experimentais de cristais de pirocloro.
“Esta é apenas a ponta do iceberg”, disse ela. "Isso é 3D, o que é novo, e considerando quantas descobertas surpreendentes houve nas redes Kagome, estou prevendo que poderia haver descobertas igualmente ou talvez até mais emocionantes a serem feitas nos materiais piroclorosos."
A equipe de pesquisa incluiu 10 pesquisadores do Rice de quatro laboratórios. O grupo de pesquisa do físico Pengcheng Dai produziu as muitas amostras necessárias para verificação experimental, e o grupo de pesquisa de Boris Yakobson no Departamento de Ciência de Materiais e NanoEngenharia realizou cálculos de primeiros princípios que quantificaram os efeitos de banda plana produzidos pela frustração geométrica.
Os experimentos ARPES foram conduzidos em Rice e na Stanford Synchrotron Radiation Lightsource do SLAC National Accelerator Laboratory, na Califórnia, e na National Synchrotron Light Source II do Brookhaven National Laboratory, em Nova York, e a equipe incluiu colaboradores do SLAC, Brookhaven e da Universidade de Washington.
Mais informações: Jianwei Huang et al, Comportamento líquido não-Fermi em uma rede de pirocloro de banda plana correlacionada, Nature Physics (2024). DOI: 10.1038/s41567-023-02362-3
Informações da revista: Nature Physics