Energy Cost to Make a Hole in the Fermi Sea

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages, final version published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.106.150402

The change in energy of an ideal Fermi gas when a local one-body potential is
inserted into the system, or when the density is changed locally, are important
quantities in condensed matter physics. We show that they can be rigorously
bounded from below by a universal constant times the value given by the
semiclassical approximation.

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