Berlin 2008 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 8: Superfluidity and Bose Einstein Condensation
DY 8.5: Vortrag
Montag, 25. Februar 2008, 18:00–18:15, MA 001
The chemical potential for the inhomogeneous electron liquid in terms of its kinetic and potential parts with special consideration of the surface potential step and BCS-BEC crossover — •Klaus Morawetz1,2, Norman H. March3,4,5, and Richard H. Squire6 — 1Institute of Physics, Chemnitz University of Technology, 09107 Chemnitz, Germany — 2Max Planck Institute for the Physics of Complex Systems, Noethnitzer Str. 38, 01187 Dresden, Germany — 3Department of Physics, University of Antwerp, Belgium — 4Oxford University, Oxford, England — 5Abdus Salam International Centre for Theoretical Physics, Trieste, Italy — 6Department of Chemistry, West Virginia University, Montgomery, WV25136, USA
The chemical potential µ of a many-body system is valuable since it carries fingerprints of phase changes. Here, we summarize results for µ for a three-dimensional electron liquid in terms of average kinetic and potential energies per particle. The difference between µ and the energy per particle is found to be exactly the electrostatic potential step at the surface. We also present calculations for an integrable one-dimensional many-body system with delta function interactions, exhibiting a BCS-BEC crossover. It is shown that in the BCS regime the chemical potential can be expressed solely in terms of the ground-state energy per particle. A brief discussion is also included of the strong coupling BEC limit.
Physics Letters A, In Press,
http://dx.doi.org/10.1016/j.physleta.2007.10.025