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Trapped Fermi gases in rotating optical lattices: realization and detection of the topological hofstadter insulator.

Authors
  • Umucalilar, R O1
  • Zhai, Hui
  • Oktel, M O
  • 1 Department of Physics, Bilkent University, 06800 Ankara, Turkey. , (Turkey)
Type
Published Article
Journal
Physical review letters
Publication Date
Feb 22, 2008
Volume
100
Issue
7
Pages
70402–70402
Identifiers
PMID: 18352527
Source
Medline
License
Unknown

Abstract

We consider a gas of noninteracting spinless fermions in a rotating optical lattice and calculate the density profile of the gas in an external confinement potential. The density profile exhibits distinct plateaus, which correspond to gaps in the single particle spectrum known as the Hofstadter butterfly. The plateaus result from insulating behavior whenever the Fermi energy lies within a gap. We discuss the necessary conditions to realize the Hofstadter insulator in a cold atom setup and show how the quantized Hall conductance can be measured from density profiles using the Streda formula.

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