Wigner Crystallization in Two Dimensions: Evolution from Long- to Short-Ranged Forces
arXiv:1211.6720 · doi:10.1103/PhysRevB.87.125109
Abstract
We study fermions in two dimensions interacting via a long-ranged 1/r potential for small particle separations and a short-ranged 1/r^3 potential for larger separations in comparison to a length scale ξ. We compute the energy of the Wigner crystal and of the homogeneous Fermi liquid phases using a variational approach, and determined the phase diagram as a function of density and ξat zero temperature. We discuss the collective modes in the Fermi liquid phase, finite temperature effects on the phase diagram, and possible experimental realizations of this model.
6 pages, 5 figures, clarifying comments added, some text rearranged, expanded references, published version
References in corpus (24)
- A High Phase-Space-Density Gas of Polar Molecules
- Dielectric function, screening, and plasmons in 2D graphene
- How to detect fluctuating order in the high-temperature superconductors
- Condensed Matter Theory of Dipolar Quantum Gases
- Quantum degenerate dipolar Fermi gas
- Wigner crystallization and metal-insulator transition of two-dimensional holes in GaAs/AlGaAs at B=0
- Phase Diagram of the Low-Density Two-Dimensional Homogeneous Electron Gas
- Phase separation in the two-dimensional electron liquid in MOSFETs
- Spontaneous inhomogeneous phases in ultracold dipolar Fermi gases
- Effects of longer-range interactions on unconventional superconductivity
- Liquid and crystal phase of dipolar fermions in two dimensions
- Electronic Liquid Crystalline Phases in a Spin-Orbit Coupled Two-Dimensional Electron Gas
- Ground State Energy of the Low Density Fermi Gas
- Wigner islands with electrons over helium
- Anomalously large capacitance of an ionic liquid described by the restricted primitive model
- Liquid crystal phases of ultracold dipolar fermions on a lattice
- Novel Fermi Liquid of 2D Polar Molecules
- Compressibility, zero sound, and effective mass of a fermionic dipolar gas at finite temperature
- Collective excitations of quasi-two-dimensional trapped dipolar fermions: transition from collisionless to hydrodynamic regime
- Unconventional magnetism in imbalanced Fermi systems with magnetic dipolar interactions
- A simple variational method for calculating energy and quantum capacitance of an electron gas with screened interactions
- Collective phenomena in quasi-two-dimensional fermionic polar molecules: band renormalization and excitons
- Antiferrosmectic ground state of two-component dipolar Fermi gases -- an analog of meson condensation in nuclear matter
- Enhancement of Wigner crystallization in quasi low-dimensional solids
Cited by in corpus (4)
- Critical Behavior of a Strongly Disordered 2D Electron System: The Cases of Long-Range and Screened Coulomb Interactions
- Physical dipoles and second order perturbation theory for dipolar fermions in two dimensions
- Critical gate distance for Wigner crystallization in the two-dimensional electron gas
- Screening the Coulomb interaction leads to a prethermal regime in two-dimensional bad conductors