Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions

Abstract

We investigate the nature of trions, pairing and quantum phase transitions in one-dimensional strongly attractive three-component ultracold fermions in external fields. Exact results for the groundstate energy, critical fields, magnetization and phase diagrams are obtained analytically from the Bethe ansatz solutions. Driven by Zeeman splitting, the system shows exotic phases of trions, bound pairs, a normal Fermi liquid and four mixtures of these states. Particularly, a smooth phase transition from a trionic phase into a pairing phase occurs as the highest hyperfine level separates from the two lower energy levels. In contrast, there is a smooth phase transition from the trionic phase into a normal Fermi liquid as the lowest level separates from the two higher levels.

4 pages, 3 figures, minor revisions to text, replacement figure, refs added and updated

References in corpus (4)

• Ultracold fermions and the SU(N) Hubbard model
• Phase diagram of a strongly interacting polarized Fermi gas in one dimension
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases

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• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization