Energy Cost to Make a Hole in the Fermi Sea
Strongly Correlated Electrons
2011-04-14 v2 Mathematical Physics
math.MP
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1102.1414,
title = {Energy Cost to Make a Hole in the Fermi Sea},
author = {Rupert L. Frank and Mathieu Lewin and Elliott H. Lieb and Robert Seiringer},
journal= {arXiv preprint arXiv:1102.1414},
year = {2011}
}
Comments
4 pages, final version published in Phys. Rev. Lett