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Luttinger Liquid of Trimers in Fermi Gases with Unequal Masses

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Article number065301
<mark>Journal publication date</mark>12/02/2010
<mark>Journal</mark>Physical review letters
Issue number6
Volume104
Number of pages4
Pages (from-to)-
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We investigate one dimensional attractive Fermi gases in spin-dependent optical lattices. We show that three-body bound states-"trimers''-exist as soon as the two tunneling rates are different. We calculate the binding energy and the effective mass of a single trimer. We then show numerically that for finite and commensurate densities n(up arrow) = n(down arrow)/2 an energy gap appears, implying that the gas is a one-component Luttinger liquid of trimers with suppressed superfluid correlations. The boundaries of this novel phase are given. We discuss experimental situations to test our predictions.

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© 2010 The American Physical Society