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Title
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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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Author
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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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Language
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English
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Source (journal)
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Physics letters : A. - Amsterdam, 1967, currens
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Publication
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Amsterdam
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North-Holland
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2008
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ISSN
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0375-9601
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DOI
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10.1016/J.PHYSLETA.2007.10.025
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Volume/pages
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372
:10
(2008)
, p. 1707-1711
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ISI
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000254033900029
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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