Mecanismos de condução distintos identificados para ordem de carga em monocamada de disseleneto de vana¡dio
As ondas de densidade de carga (CDWs) são modulaa§aµes esta¡ticas da densidade eletra´nica - normalmente ocorrendo em um intervalo peria³dico de algumas constantes de rede em materiais cristalinos .
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)
A Figura mostra as ondas de densidade de carga fotografadas usando microscopia de tunelamento de varredura para (esquerda) bicamada (BL)-VSe 2 e (direita) monocamada (ML)-VSe 2 . As linhas codificadas por cores tracejadas representam as frentes de onda para as ondas de densidade de carga (CDWs) 4a (preto) e 2,8a (ciano), respectivamente. Crédito: ACS Nano
Os fasicos do NUS descobriram que o disseleneto de vana¡dio em monocamada (VSe 2 ) tem estados ordenados de carga coexistentes com dois mecanismos de condução distintos.
As ondas de densidade de carga (CDWs) são modulações esta¡ticas da densidade eletra´nica - normalmente ocorrendo em um intervalo peria³dico de algumas constantes de rede em materiais cristalinos . CDWs convencionais ocorrem dentro de regiaµes paralelas dasuperfÍcie eletra´nica ("Fermi") e são acompanhados por uma modulação peria³dica (Peierls) da rede atômica subjacente.
Embora conhecidos háquase um século, os CDWs continuam a atrair atenção considera¡vel dentro da comunidade de física da matéria condensada. A ocorraªncia e sintonização de CDWs em materiais bidimensionais ultrafinos (2D) são particularmente interessantes, pois esses materiais também podem hospedar outros novos estados (por exemplo, magnetismo e supercondutividade) e podem ser aºteis para aplicações eletra´nicas. A ordem de carga em materiais ultrafinos com uma ou poucas camadas de a¡tomos também éde interesse fundamental, devido ao aumento da importa¢ncia das interações elanãtron-elanãtron.
O disseleneto de vana¡dio (VSe 2 ) na sua forma de monocamada éum dicalcogeneto de metal de transição prototapico. Tem um CDW triangular convencional com periodicidade de quatro vezes sua constante de rede, 4a (onde a éa constante de rede). No entanto, o estado fundamental da monocamada VSe 2 écercado de controvanãrsias, com relatos contrastantes de estados ordenados de origem estrutural, eletra´nica e magnanãtica. Estabelecer a natureza e a origem da ordem de carga em monocamada VSe 2 éimportante considerando seu uso em aplicações potenciais e na compreensão dos efeitos de fortes acoplamentos e correlações em materiais ultrafinos.
A equipe de pesquisa liderada pelo professor Andrew WEE e pelo professor assistente Anjan SOUMYANARAYANAN, ambos do Departamento de Fasica da Universidade Nacional de Cingapura, fizeram progressos significativos em desvendar a natureza e a origem da ordem de carga encontrada na monocamada VSe 2 . Seus experimentos de microscopia de tunelamento de varredura (STM) estabelecem que enquanto o CDW em bicamada (BL)-VSe 2 estãointimamente relacionado ao material a granel, torna-se qualitativamente distinto em monocamada VSe 2 . Estudos sistema¡ticos em diferentes substratos e temperaturas revelam que a monocamada VSe 2hospeda dois CDWs unidirecionais contrastantes, com periodicidades de 4a e 2,8a respectivamente (veja a Figura). Seus ca¡lculos mostram que, enquanto o CDW 4a pode ser explicado usando o mecanismo convencional de Peierls, o CDW 2.8a não pode ser explicado dentro dessa estrutura. Em vez disso, os pesquisadores mostraram que esse CDW não convencional pode se originar de fortes interações elanãtron-elanãtron. Esta pesquisa éuma colaboração com a Universidade de Amsterda£ e o Instituto Indiano de Ciências.
O professor assistente Soumyanarayanan disse: "Nossas descobertas estabeleceram a monocamada VSe 2 como o primeiro material que hospeda dois CDWs coexistentes, cada um com um mecanismo de condução distinto. Este trabalho aborda a controvanãrsia em torno do muito debatido estado fundamental da monocamada VSe 2 . caminho para o uso de interações emergentes para realizar e adaptar estados ordenados em filmes ultrafinos e heteroestruturas, para dispositivos eletra´nicos não convencionais."
A pesquisa foi publicada na ACS Nano.