Simis Seminar series on Quantum computing, quantum simulation and strongly-correlated systems: Correlated and topological states in graphene-based heterostructures

Speaker: Jianpeng Liu

Abstract: In this talk, we will discuss correlated and topological states emerging from heterostructure systems consisted of graphene and other insulating substrates. First, we consider moire superlattices formed by rhombohedral multilayer graphene aligned with hexagonal boron nitride (hBN) substrate [1], where we provide a microscopic theory for the integer and fractional Chern insulator states emerging in these systems. Second, we consider a new type of Coulomb-coupled graphene-insulator heterostructures with gate tunable band alignment [2, 3]. By virtue of the similar work functions, charge carriers can be transferred between graphene and the insulating substrate under the control of gate voltages, which may give rise a long-wavelength electronic crystal at the surface of the substrate. The electronic crystal exerts a superlattice Coulomb potential on the Dirac electrons in graphene, which may generate unusual correlated and topological states in these non-moire systems. Reciprocally, the Wigner-crystal state formed at the surface of the insulating substrate may also be stabilized by cooperative interlayer Coulomb coupling. Lastly, motivated by the previous problems, we develop a GW+RPA method to study Wigner-crystal transitions in various interacting two-dimensional (2D) electronic systems [4]. Our method gives a critical Wigner-Seitz radius about 19.2 for regular 2D electron gas. When being applied to high-order Dirac fermion systems, our calculations suggest that both topologically trivial and nontrivial Wigner crystal states predicted by mean-field method would be significantly de-stabilized by charge fluctuations.

Time: 13:30h-14:30h, 8th November 2024.
Location: Room 1410 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai

Send comments or questions to: Miguel Tierz to tierz at simis.cn


en_USEnglish
Scroll to Top