Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 59: Low-Dimensional Systems: 2D - Theory (organized by TT)

TT 59.6: 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.