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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
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| Abstract |
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| The chemical potential A of a many-body system is valuable since it carries fingerprints of phase changes. Here, we summarize results for It for a three-dimensional electron liquid in terms of average kinetic and potential energies per particle. The difference between A 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. (c) 2007 Elsevier B.V. All rights reserved. | |
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English
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Physics letters: A. - Amsterdam, 1967, currens |
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Amsterdam : 2008
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0375-9601
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372:10(2008), p. 1707-1711
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000254033900029
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