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.

arXiv comment15 pages, 12 figures

References in corpus (40)

• Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
• Observation of tightly bound trions in monolayer MoS2
• Exciton Binding Energy and Nonhydrogenic Rydberg Series in Monolayer WS2
• The Physical Implementation of Quantum Computation
• Excitons in atomically thin transition metal dichalcogenides
• The Valley Hall Effect in MoS2 Transistors
• Computational 2D Materials Database: Electronic Structure of Transition-Metal Dichalcogenides and Oxides
• Theory of Neutral and Charged Excitons in Monolayer Transition Metal Dichalcogenides
• Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene
• Fermi polaron-polaritons in charge-tunable atomically thin semiconductors
• Strain engineering in semiconducting two-dimensional crystals
• Ising models of quantum frustration
• Novel effects of strains in graphene and other two dimensional materials
• Long-lived nanosecond spin relaxation and spin coherence of electrons in monolayer MoS_2 and WS_2
• Charged excitons in monolayer WSe${}_2$: experiment and theory
• Spin-orbit coupling, quantum dots, and qubits in monolayer transition metal dichalcogenides
• Cooperative resonances in light scattering from two-dimensional atomic arrays
• Enhanced optical cross section via collective coupling of atomic dipoles in a 2D array
• Atomically thin mirrors made of monolayer semiconductors
• Trion Formation Dynamics in Monolayer Transition Metal Dichalcogenides
• Atomistic defect states as quantum emitters in monolayer MoS${}_2$
• Control of the Exciton Radiative Lifetime in van der Waals Heterostructures
• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Realization of an atomically thin mirror using monolayer MoSe2
• Gate controlled spin-valley locking of resident carriers in WSe2 monolayers
• Imaging the Wigner Crystal of Electrons in One Dimension
• Spin-Polarized Electrons in Monolayer MoS${}_2$
• Quantum Manipulation of Trapped Ions in Two Dimensional Coulomb Crystals
• Spin-valley qubit in nanostructures of monolayer semiconductors: Optical control and hyperfine interaction
• Magnetic noise spectroscopy as a probe of local electronic correlations in two-dimensional systems
• Fast spin exchange between two distant quantum dots
• Quantum Computing Using Electrons Floating on Liquid Helium
• Multiparticle ring exchange in the Wigner glass and its possible relevance to strongly interacting two-dimensional electron systems in the presence of disorder
• Radiative lifetime of localized excitons in transition metal dichalcogenides
• Atomically thin semiconductors as nonlinear mirrors
• Wigner crystallization in transition metal dichalcogenides: A new approach to correlation energy
• Wigner crystal phases in bilayer graphene
• Wigner crystal phases in confined carbon nanotubes
• Self assembled Wigner crystals as mediators of spin currents and quantum information
• Scattering of charge and spin excitations and equilibration of a one-dimensional Wigner crystal

Cited by in corpus (7)

• Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
• Optical signatures of charge order in a Mott-Wigner state
• Interactions mediated by atoms, photons, electrons, and excitons
• Observation of an electronic microemulsion phase emerging from a quantum crystal-to-liquid transition
• Spin-polarons and ferromagnetism in doped dilute Wigner-Mott insulators
• Phonons of electronic crystals in two-dimensional semiconductor moiré patterns
• Melting of electronic and excitonic crystals in 2D semiconductor moiré patterns: a perspective from the Lindemann criterion