Published April 15, 2011 | Version Published + Submitted
Journal Article Open

Energy Cost to Make a Hole in the Fermi Sea

  • 1. ROR icon Princeton University
  • 2. ROR icon CY Cergy Paris University
  • 3. ROR icon McGill University

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.

Additional Information

© 2011 American Physical Society. Received 7 February 2011. Grants from the U.S. NSF PHY-0965859 (E. L. and R. F.), PHY-0845292 (R. S.) and from the ERC MNIQS-258023 (M. L.) are acknowledged.

Attached Files

Published - PhysRevLett.106.150402.pdf

Submitted - 1102.1414.pdf

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Additional details

Identifiers

Eprint ID
77098
Resolver ID
CaltechAUTHORS:20170501-093433748

Related works

Funding

NSF
PHY-0965859
NSF
PHY-0845292
European Research Council (ERC)
MNIQS-258023

Dates

Created
2017-05-01
Created from EPrint's datestamp field
Updated
2021-11-15
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Mathematics Department