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Phys. Rev. Lett. 100, 056403 (2008) [4 pages]

Mott Transition of Fermionic Atoms in a Three-Dimensional Optical Trap

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R. W. Helmes1, T. A. Costi2, and A. Rosch1
1Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany
2Institute of Solid State Research, Research Centre Jülich, 52425 Jülich, Germany

Received 13 September 2007; published 6 February 2008

We study theoretically the Mott metal-insulator transition for a system of fermionic atoms confined in a three-dimensional optical lattice and a harmonic trap. We describe an inhomogeneous system of several thousand sites using an adaptation of dynamical mean-field theory solved efficiently with the numerical renormalization group method. Above a critical value of the on-site interaction, a Mott-insulating phase appears in the system. We investigate signatures of the Mott phase in the density profile and in time-of-flight experiments.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.056403
DOI:
10.1103/PhysRevLett.100.056403
PACS:
71.10.Fd, 03.75.Ss, 71.30.+h