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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

17 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Numéro d'article	150402
journal	Physical Review Letters
Volume	106
Numéro de publication	15
Les DOIs	https://doi.org/10.1103/PhysRevLett.106.150402
état	Publié - 12 avr. 2011
Modification externe	Oui

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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

M3 - Article

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JO - Physical Review Letters

JF - Physical Review Letters

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ER -

Energy cost to make a hole in the fermi sea

Résumé

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