Hybrid phase at the quantum melting of the Wigner crystal

Abstract

We study the quantum melting of the two-dimensional Wigner crystal using a fixed node quantum Monte-Carlo approach. In addition to the two already known phases (Fermi liquid at large density and Wigner crystal at low density), we find a third stable phase at intermediate values of the density. The third phase has hybrid behaviors in between a liquid and a solid. This hybrid phase has the nodal structure of a Slater determinant constructed out of the bands of a triangular lattice.

5 pages, 4 figures

Cited by in corpus (24)

• Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
• Direct observation of a magnetic field-induced Wigner crystal
• Density Functional Theory studies of cluster states in nuclei
• Incipient Wigner Localization in Circular Quantum Dots
• Quantum melting of a crystal of dipolar bosons
• Localization and clustering in the nuclear Fermi liquid
• Anatomy of the quantum melting of the two dimensional Wigner crystal
• The Hartree-Fock phase diagram of the two-dimensional electron gas
• From a few to many electrons in quantum dots under strong magnetic fields: Properties of rotating electron molecules with multiple rings
• Metal-insulator transition in the Hartree-Fock phase diagram of the fully polarized homogeneous electron gas in two dimensions
• Metal-insulator transition in the two-dimensional fully polarized homogeneous electron gas from Hartree-Fock solutions
• Nonlinear magnetic field dependence of spin polarization in high density two-dimensional electron systems
• Ground state phases of the two-dimension electron gas with a unified variational approach
• Unconventional metallic conduction in two-dimensional Hubbard-Wigner lattices
• Density-tuned effective metal-insulator transitions in 2D semiconductor layers: Anderson localization or Wigner crystallization
• 1/f noise in a dilute GaAs two-dimensional hole system in the insulating phase
• Charge Density Waves in a Quantum Plasma
• Critical gate distance for Wigner crystallization in the two-dimensional electron gas
• Persistent currents in two dimensions: New regimes induced by the interplay between electronic correlations and disorder
• Impact of Short-Range Scattering on the Metallic Transport of Strongly Correlated 2D Holes in GaAs Quantum Wells
• Defect liquids in a weakly imbalanced bilayer Wigner Crystal
• Evidence for a New Intermediate Phase in a Strongly Correlated 2D System near Wigner Crystallization
• Exchange Interactions of a Wigner Crystal in a Magnetic Field and Berry Curvature: Multi-Particle Tunneling through Complex Trajectories
• Elementary Excitations, Melting Temperature, and Correlation Energy in Wigner Crystals