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
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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