Density-functional theory for the crystalline phases of a two-dimensional dipolar Fermi gas

作者：van Zyl B P^*; Kirkby W; Ferguson W

来源：Physical Review A, 2015, 92(2): 023614.

DOI：10.1103/PhysRevA.92.023614

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 semiexactly 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.

• 出版日期2015-8-12