Observation of First-Order Quantum Phase Transitions and Ferromagnetism in Twisted Double Bilayer Graphene

Abstract

Twisted graphene multilayers are highly tunable flatband systems for developing new phases of matter. Thus far, while orbital ferromagnetism has been observed in valley-polarized phases, the long-range orders of other correlated phases as well as the quantum phase transitions between different orders mostly remain unknown. Here, we report an observation of Coulomb-interaction-driven first-order quantum phase transitions and ferromagnetism in twisted double bilayer graphene (TDBG). At zero magnetic field, the transitions are revealed in a series of steplike abrupt resistance jumps with a prominent hysteresis loop when either the displacement field (D) or the carrier density (n) is tuned across a symmetry-breaking boundary near half filling, indicating a formation of ordered domains. It is worth noting that the good tunability and switching of these states give rise to a memory performance with a large on/off ratio. Moreover, when both spin and valley play the roles at finite magnetic field, we observe abundant first-order quantum phase transitions among normal metallic states from the charge-neutral point, orbital ferromagnetic states from quarter filling, and spin-polarized states from half filling. We interpret these first-order phase transitions in the picture of phase separations and spin-domain percolations driven by multifield tunable Coulomb interactions, in agreement with the Lifshitz transition and the Hartree-Fock calculations. The observed multifield tunable domain structure and its hysteresis resembles the characteristics of multiferroics, revealing intriguing magnetoelectric properties. Our result enriches the correlated phase diagram in TDBG for discovering novel exotic phases and quantum phase transitions, and it will benefit other twisted moiré systems as well.