Charge and spin properties of a generalized Wigner crystal realized in the moiré WSe${}_2$/WS${}_2$ heterobilayer

Abstract

We examine the charge and spin properties of an effective single-band model representing a moiré superlattice of the WSe${}_2$/WS${}_2$ heterobilayer. We focus on the $2/3$ electron filling, which refers to the formation of a generalized Wigner crystal, as evidenced experimentally. Our approach is based on the extended-Hubbard model on a triangular lattice with non-interacting part effectively describing a spin-split band due to Ising-type spin-orbit coupling. We investigate the system in the regime of strong on-site Coulomb repulsion and the ground state of the Hamiltonian is obtained with the use of the Density Matrix Renormalization Group formulated within the Matrix Product State approach. According to our analysis, based on the density-density correlation functions resolved in the momentum space, a transition from the metallic to the insulating state appears with increasing intersite electron-electron interactions. This transition is identified as being concomitant with the emergence of a generalized Wigner crystal that realizes the honeycomb lattice pattern. We investigate the magnetic properties of such a Wigner crystal state and find that the presence of spin-valley polarization and the increased intersite repulsion induce spin canting of the out-of-plane antiferromagnetic ordering.

References in corpus (19)

• The density-matrix renormalization group in the age of matrix product states
• Critical fermi surfaces and non-fermi liquid metals
• Direct observation of a magnetic field-induced Wigner crystal
• Spin-Orbit Coupling in Transition Metal Dichalcogenide Heterobilayer Flat Bands
• Frustrated magnetic interactions in a Wigner-Mott insulator
• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• TMDs as a platform for spin liquid physics: A strong coupling study of twisted bilayer WSe${}_2$
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Charge order and superconductivity in a two-dimensional triangular lattice at n=2/3
• Magnetism and Quantum Melting in Moiré-Material Wigner Crystals
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Kagome chiral spin liquid in transition metal dichalcogenide moiré bilayers
• Density-matrix renormalization group: a pedagogical introduction
• Probing magnetism in moiré heterostructures with quantum twisting microscopes
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• Competing Generalized Wigner Crystal States in Moiré Heterostructures
• Metal to Wigner-Mott insulator transition in two-leg ladders

Cited by in corpus (3)

• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Interplay between topology and electron-electron interactions in the moiré MoTe${}_2$/WSe${}_2$ heterobilayer
• Magnetism from multiparticle ring exchange in moiré Wigner crystals