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Phys. Rev. B 78, 235117 (2008) [5 pages]

Mott phase in polarized two-component atomic Fermi lattice gas

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M. Machida1,2,*, M. Okumura1,2,†, S. Yamada1,2,‡, T. Deguchi3,§, Y. Ohashi2,4,**, and H. Matsumoto2,5,6,††
1CCSE, Japan Atomic Energy Agency, 6-9-3 Higashi-Ueno, Taito-ku, Tokyo 110-0015, Japan
2CREST, JST, 4-1-8 Honcho, Kawaguchi, Saitama 332-0012, Japan
3Department of Physics, Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610, Japan
4Faculty of Science and Technology, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, Kanagawa 223-0061, Japan
5Institute for Materials Research, Tohoku University, Katahira, Sendai 980-8577, Japan
6Department of Physics, Tohoku University, Aramaki, Aoba, Sendai 980-8578, Japan

Received 10 August 2008; revised 4 November 2008; published 12 December 2008

We investigate effects of pseudospin population imbalance on Mott phases in one-dimensional trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density-matrix renormalization-group method, we numerically calculate density profiles of each component and clarify the pseudospin magnetism. Consequently, we find that all the features from weakly imbalance to fully polarized cases are well described by S=1/2 antiferromagnetic Heisenberg chain under magnetic field. These results indicate that the Mott phases offer experimental stages for studying various interacting spin systems.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.78.235117
DOI:
10.1103/PhysRevB.78.235117
PACS:
03.75.Ss, 71.10.Fd, 74.25.Jb, 74.81.−g

*machida.masahiko@jaea.go.jp

okumura.masahiko@jaea.go.jp

yamada.susumu@jaea.go.jp

§deguchi@phys.ocha.ac.jp

**yohashi@rk.phys.keio.ac.jp

††matumoto@ldp.phys.tohoku.ac.jp