Abstract
Twisted graphene multilayers have demonstrated to yield a versatile playground to engineer controllable electronic states. Here, by combining first-principles calculations and low-energy models, we demonstrate that twisted graphene trilayers provide a tunable system where van Hove singularities can be controlled electrically. In particular, it is shown that besides the band flattening, bulk valley currents appear, which can be quenched by local chemical dopants. We finally show that in the presence of electronic interactions, a non-uniform superfluid density emerges, whose non-uniformity gives rise to spectroscopic signatures in dispersive higher energy bands. Our results put forward twisted trilayers as a tunable van der Waals heterostructure displaying electrically controllable flat bands and bulk valley currents.
Highlights
The interplay between topology and correlations represents a highly fruitful area in condensed matter physics
By combining first-principles calculation and low-energy effective models, we have shown that twisted graphene trilayers realize tunable electronic systems
It was shown that nearly perfect flat bands can be electrically controlled, which coexist with highly dispersive states
Summary
The interplay between topology and correlations represents a highly fruitful area in condensed matter physics. Exploring unconventional states of matter requires identifying systems where electronic correlations, topology, and electronic dispersions can be realistically controlled In this regard, twisted van der Waals materials [1,2,3,4,5,6,7,8] provide a powerful solid state platform to realize exotic quantum phenomena. Interlayer bias is known to generate internal valley currents in twisted graphene bilayers [5,6,21,22], creating topological networks at low angles [5,6,21] and generating valley fluxes in flat band regimes [22] This interplay of correlations and topology in twisted graphene multilayers makes these materials a powerful platform to explore exotic states of matter [23,24,25,26] in a realistically feasible manner.
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