We use temperature-dependent resistivity in small-angle twisted double bilayer graphene to measure bandwidths and gaps of the bands. This electron-hole asymmetric system has one set of nondispersing bands that splits into two flat bands with the electric field—distinct from the twisted bilayer system. With electric field, the gap between two emergent flat bands increases monotonically and bandwidth is tuned from 1 to 15 meV. These two flat bands with gap result in a series of thermally induced insulator to metal transitions—we use a model, at charge neutrality, to measure the bandwidth using only transport measurements. Having two flat bands with tunable gap and bandwidth offers an opportunity to probe the emergence of correlations.

中文翻译：

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相关双扭曲双双层石墨烯中的可调带宽和间隙

我们在小角度双绞双层石墨烯中使用随温度变化的电阻率，以测量带的带宽和间隙。该电子-空穴非对称系统具有一组非分散带，该非分散带在电场作用下分裂为两个平坦带，与扭曲的双层系统截然不同。随着电场的作用，两个出现的平坦带之间的间隙单调增加，带宽从1到15 meV调整。这两个带有间隙的平坦带会导致一系列热感应绝缘体到金属的过渡-我们在电荷中性的情况下使用模型仅通过传输测量来测量带宽。具有两个具有可调间隙和带宽的平坦频带可为探查相关性的出现提供机会。