Coulomb Correlations and the Wigner-Mott Transition

Abstract

Strong correlation effects, such as a dramatic increase in the effective mass of the carriers of electricity, recently observed in the low density electron gas have provided spectacular support for the existence of a sharp metal-insulator transitions in dilute two dimensional electron gases. Here we show that strong correlations, normally expected only for narrow integer filled bands, can be effectively enhanced even far away from integer filling, due to incipient charge ordering driven by non-local Coulomb interactions. This general mechanism is illustrated by solving an extended Hubbard model using dynamical mean-field theory. Our findings account for the key aspects of the experimental phase diagram, and reconcile the early view points of Wigner and Mott. The interplay of short range charge order and local correlations should result in a three peak structure in the spectral function of the electrons which should be observable in tunneling and optical spectroscopy.

5 pages, 5 figures. Accepted in Nature Physics

References in corpus (23)

• A continuous-time solver for quantum impurity models
• Metallic behavior and related phenomena in two dimensions
• Quantum Monte Carlo Impurity Solver for Cluster DMFT and Electronic Structure Calculations in Adjustable Base
• Metal-insulator transition in two-dimensional electron systems
• Valley susceptibility of an interacting two-dimensional electron system
• Metal-Insulator Transition in Disordered Two-Dimensional Electron Systems
• The low-density spin susceptibility and effective mass of mobile electrons in Si inversion layers
• Spin Susceptibility of an Ultra-Low Density Two Dimensional Electron System
• Measurements of the density-dependent many-body electron mass in 2D GaAs/AlGaAs Heterostructures
• Dilute electron gas near the metal-insulator transition in two dimensions
• Spin susceptibility of two-dimensional electrons in narrow AlAs quantum wells
• The thermodynamic spin magnetization of strongly correlated 2d electrons in a silicon inversion layer
• Interaction Effects in Conductivity of Si Inversion Layers at Intermediate Temperatures
• Reentrant charge order transition in the extended Hubbard model
• Pauli spin susceptibility of a strongly correlated two-dimensional electron liquid
• Metal-insulator transition in a 2D electron gas: Equivalence of two approaches for determining the critical point
• Properties of strongly correlated two-dimensional electron gas in semiconductor layers
• Magnetization of a strongly interacting two-dimensional electron system in perpendicular magnetic fields
• Anatomy of the quantum melting of the two dimensional Wigner crystal
• Self-doping instability of the Wigner-Mott insulator
• On Effective Electron Mass of Silicon MOSFET at Low Electron Density
• Spin polarization induced tenfold magneto-resistivity of highly metallic 2D holes in a narrow GaAs quantum well
• Spin Susceptibility of a 2D Electron System in GaAs towards the Weak Interaction Region

Cited by in corpus (58)

• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Moiré superlattice in a MoSe${}_2$/hBN/MoSe${}_2$ heterostructure: from coherent coupling of inter- and intra-layer excitons to correlated Mott-like states of electrons
• Ferromagnetic exchange, spin-orbit coupling and spiral magnetism at the LaAlO_3/SrTiO_3 interface
• Quantum Critical Transport Near the Mott Transition
• Generalized Wigner crystallization in moiré materials
• Critical behavior at Mott-Anderson transition: a TMT-DMFT perspective
• Optical signatures of charge order in a Mott-Wigner state
• Slave Boson Theory of Orbital Differentiation with Crystal Field Effects: Application to UO${}_2$
• Extended Hubbard model: Charge Ordering and Wigner-Mott transition
• Strongly correlated two-dimensional plasma explored from entropy measurements
• Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
• Electronic phase separation: recent progress in the old problem
• Charge order and antiferromagnetism in the extended Hubbard model
• Wigner-Mott scaling of transport near the two-dimensional metal-insulator transition
• Transport evidence for a sliding two-dimensional quantum electron solid
• Doping driven metal-insulator transitions and charge orderings in the extended Hubbard model
• Dielectric catastrophe at the Mott and Wigner transitions in a moiré superlattice
• Indication of band flattening at the Fermi level in a strongly correlated electron system
• Recent developments in the field of the metal-insulator transition in two dimensions
• Quantum phase transition in ultrahigh mobility SiGe/Si/SiGe two-dimensional electron system
• The energy scale behind the metallic behaviors in low-density Si-MOSFETs
• Emergent Heavy Fermion Behavior at the Wigner-Mott Transition
• Theory of a continuous bandwidth-tuned Wigner-Mott transition
• Novel Energy Scale in the Interacting 2D Electron System Evidenced from Transport and Thermodynamic Measurements
• Quantum critical scaling for finite temperature Mott-like metal-insulator crossover in a few layered-MoS${}_2$
• Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
• Strongly correlated exciton-polarons in twisted homo-bilayer heterostructures
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Disorder-dominated quantum criticality in moiré bilayers
• Probing spin susceptibility of a correlated two-dimensional electron system by transport and magnetization measurements
• Spin polarization and exchange-correlation effects in transport properties of two-dimensional electron systems in silicon
• Two-dimensional system of strongly interacting electrons in silicon (100) structures
• Evidence of gate-tunable topological excitations in two-dimensional electron systems
• Metallic state in a strongly interacting spinless two-valley electron system in two dimensions
• A metal-insulator transition in 2D: Established facts and open questions
• Doping a Wigner-Mott insulator: Exotic charge orders in transition-metal dichalcogenide moiré heterobilayers
• How to recognize the universal aspects of Mott criticality?
• Manifestation of strong correlations in transport in ultra-clean SiGe/Si/SiGe quantum wells
• Degenerate versus semi-degenerate transport in a correlated 2D hole system
• Droplets of the order parameter in a low density attracting electron system in the presence of a strong random potential
• Spin independence of the strongly enhanced effective mass in ultra-clean SiGe/Si/SiGe two-dimensional electron system
• Response of the lattice across the filling-controlled Mott metal-insulator transition of a rare earth titanate
• Mott and Wigner-Mott transitions in doped correlated electron systems: effects of superlattice potential and inter-site correlation
• Percolation transition in two dimensional electron gas: A quantum cellular automaton model
• Spin effect on the low-temperature resistivity maximum in a strongly interacting 2D electron system
• Band Flattening and Landau Level Merging in Strongly-Correlated Two-Dimensional Electron Systems
• Continuous Wigner-Mott transition at $\nu =1/5$
• Non-Gaussian Spatial Correlations Dramatically Weaken Localization
• Origin and stability of generalized Wigner crystallinity in triangular moiré systems
• Single- and two-particle finite size effects in interacting lattice systems
• Impact of Short-Range Scattering on the Metallic Transport of Strongly Correlated 2D Holes in GaAs Quantum Wells
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Thermoelectrics Near the Mott Localization-Delocalization Transition
• Revisiting the metal-to-metal transition in $2H$-AgNiO${}_2$
• Spin and valley effects on the quantum phase transition in two dimensions
• Paramagnetic phases of strongly correlated ultracold fermions coupled to an optical cavity
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Universal transport at Lifshitz metal-insulator transitions in two dimensions