Dresden 2014 – scientific programme
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O: Fachverband Oberflächenphysik
O 44: Low-Dimensional Systems: 2D - Theory (TT jointly with O)
O 44.6: Talk
Wednesday, April 2, 2014, 10:45–11:00, BEY 81
Density Functional Description of Two-Dimensional Fermi Gases — •Martin-Isbjörn Trappe1, Hui Khoon Ng1, Cord Axel Müller2, and Berthold-Georg Englert1 — 1Centre for Quantum Technologies, National University of Singapore — 2Department of Physics, University of Konstanz, Germany
Several methods suggest the gradient corrections beyond the Thomas-Fermi (TF) kinetic energy functional to vanish for two-dimensional systems at zero temperature. However, the TF functional does not coincide with the exact functional, implying the existence of corrections. We present a systematic derivation of such first order gradient corrections by means of the Wigner function and test the result employing the exactly known particle density of spin-1/2-fermions in a two-dimensional harmonic trap.