Energy cost to make a hole in the fermi sea

Rupert L. Frank; Mathieu Lewin; Elliott H. Lieb; Robert Seiringer

doi:10.1103/PhysRevLett.106.150402

Energy cost to make a hole in the fermi sea

Rupert L. Frank
, Mathieu Lewin
, Elliott H. Lieb
, Robert Seiringer

Department of Mathematics
Princeton University
CY Cergy Paris Université
Department of Physics
Department of Mathematics and Statistics
McGill University

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

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.

Original language	English
Article number	150402
Journal	Physical Review Letters
Volume	106
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.106.150402
Publication status	Published - 12 Apr 2011
Externally published	Yes

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10.1103/PhysRevLett.106.150402

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title = "Energy cost to make a hole in the fermi sea",

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.",

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AB - 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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DO - 10.1103/PhysRevLett.106.150402

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ER -

Energy cost to make a hole in the fermi sea

Abstract

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