Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas
arXiv:1507.00870 · doi:10.1103/PhysRevA.92.023614
Abstract
Density-functional theory is utilized to investigate the zero-temperature transition from a Fermi liquid to an inhomogeneous stripe, or Wigner crystal phase, predicted to occur in a one-component, spin-polarized, two-dimensional dipolar Fermi gas. Correlations are treated semi-exactly within the local-density approximation using an empirical fit to Quantum Monte Carlo data. We find that the inclusion of the nonlocal contribution to the Hartree-Fock energy is crucial for the onset of an instability to an inhomogeneous density distribution. Our density-functional theory supports a transition to both a one-dimensional stripe phase, and a triangular Wigner crystal. However, we find that there is an instability first to the stripe phase, followed by a transition to the Wigner crystal at higher coupling.
4 figures, submitted to Phys. Rev. A
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Cited by in corpus (9)
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- Kohn-Sham theory of rotating dipolar Fermi gas in two dimensions
- Competing many-body instabilities in two-dimensional dipolar Fermi gases
- Kohn-Sham approach to Fermi gas superfluidity: the bilayer of fermionic polar molecules
- Interplay of interlayer pairing and many-body screening in a bilayer of dipolar fermions
- Dipolar fermions in a multilayer geometry
- Mixed parity pairing in a dipolar gas
- Ordered phases in a bilayer system of dipolar fermions