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The phase diagram of one-dimensional earth-alkaline fermionic atoms andytterbium 171 atoms is investigated by means of a low-energy approach anddensity-matrix renormalization group calculations. For incommensurate filling,four gapless phases with a spin gap are found and consist of twosuperconducting instabilities and two coexisting bond and charge density-wavesinstabilities. In the half-filled case, seven Mott-insulating phases arise withthe emergence of four non-degenerate phases with exotic hidden orderings.

Phase diagram of one-dimensional earth-alkaline cold fermionic atoms