Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-11-12
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 2 figures
Scientific paper
We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling. We find that the system is fully gapped and may order into 8 possible phases: four 2$k_F$ atomic density wave and spin-Peierls phases with all possible relative $\pi$ phases shifts between the three species. We find that trionic excitations are unstable toward the decay into pairs of kinks carrying a {\it fractional} number, $Q=3/2$, of atoms. These sesquions eventually condense upon small doping and are described by a Luttinger liquid. We finally discuss the phase diagram of a three component mixture made of three hyperfine level of $^6$Li as a function of magnetic field.
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