Speaker: Miguel Morales, Center for Computational Quantum Physics, Flatiron Institute
Abstract: Recent advances in two-dimensional (2D) and layered materials have catalyzed significant interest in the study of electrons in reduced dimensions. The discovery of exotic electronic phases in twisted bilayer graphene and transition metal dichalcogenide (TMD) bilayers has renewed focus on the properties of the 2D electron gas, which underpins most continuum Hamiltonians modeling these systems.
In this talk I will present our recent efforts to explore 2D electron gases in the presence of Moire potentials, electron doping, gate screening and impurities. We employ variational and diffusion Monte Carlo methods to obtain accurate ground-state properties in parameter regimes that remain challenging for conventional numerical techniques. By leveraging novel real-space neural quantum states, the study achieves state-of-the-art accuracy in mapping the phase diagram of the homogeneous 2D electron gas. This approach yields an updated determination of the Wigner transition and reveals previously unrecognized nematic spin correlations across a broad density range in the liquid phase.
Additionally, the phase diagram of the Moiré Continuum Hamiltonian, particularly for TMD heterobilayers, is investigated. The analysis characterizes the emergence of multiple magnetic orders as functions of electron density and Moiré potential depth, alongside corresponding changes in spatial correlations. Recent efforts also explore the effects of doping and impurity-induced electron localization in Moiré materials.