Wigner Crystals in Two-Dimensional Transition-Metal Dichalcogenides: Spin Physics and Readout

Abstract

Wigner crystals are prime candidates for the realization of regular electron lattices under minimal requirements on external control and electronics. However, several technical challenges have prevented their detailed experimental investigation and applications to date. We propose an implementation of two-dimensional electron lattices for quantum simulation of Ising spin systems based on self-assembled Wigner crystals in transition-metal dichalcogenides. We show that these semiconductors allow for minimally invasive all-optical detection schemes of charge ordering and total spin. For incident light with optimally chosen beam parameters and polarization, we predict a strong dependence of the transmitted and reflected signals on the underlying lattice periodicity, thus revealing the charge order inherent in Wigner crystals. At the same time, the selection rules in transition-metal dichalcogenides provide direct access to the spin degree of freedom via Faraday rotation measurements.

15 pages, 12 figures

References in corpus (8)

• The Valley Hall Effect in MoS2 Transistors
• Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Atomically thin mirrors made of monolayer semiconductors
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Realization of an atomically thin mirror using monolayer MoSe2
• Wigner crystal phases in confined carbon nanotubes
• Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal