Dimensionality and correlation effects in coupled carbon nanotube arrays

Coupled one-dimensional (1D) conductor array has been proposed as a promising platform to explore the electronic correlation phenomena in higher dimensions and rich electronic phases; however, these architectures have been challenging to configure over the past few decades. Well-aligned semiconducting carbon nanotubes (CNTs), have been demonstrated as a promising channel material to construct ultra-scaled transistors for future integrated circuits, but their transport behaviours, especially including the tuneable dimensionality and electron-electron (e-e) interactions, remain elusive and are needed to explore the correlated electronic phases. Here, we experimentally realize a dimensional transition with controlled electronic correlation in situ using coupled quantum wire arrays that contain well-aligned CNTs in a two-dimensional (2D) film. The tunability of the CNT arrays through a high-efficient top gate allow us to construct the phase diagram of coupled 1D electron system. We successfully extend Tomonaga-Luttinger liquid (LL) to a 2D system and observe a gate-tuneable e-e interaction, with a universal scaling law behaviour, as the start of the phase diagram. Consequently, we demonstrate that the transport behaviour of the CNT arrays evolves from the LL to the Fermi liquid or Coulomb blockade regime by varying the e-e interaction and temperature. As a result, the electronic phase diagram is obtained for dimensional transitions across three dimensionalities, which provides an opportunity to explore low-dimensional electronic phase transitions with engineered artificial arrays of 1D wires and a deep understanding of transport behaviour of the CNT array for electronics applications. .