Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions

Abstract

Paired states, trions and quarteting states in one-dimensional SU(4) attractive fermions are investigated via exact Bethe ansatz calculations. In particular, quantum phase transitions are identified and calculated from the quarteting phase into normal Fermi liquid, trionic states and spin-2 paired states which belong to the universality class of linear field-dependent magnetization in the vicinity of critical points. Moreover, unified exact results for the ground state energy, chemical potentials and complete phase diagrams for isospin $S=1/2,1,3/2$ attractive fermions with external fields are presented. Also identified are the magnetization plateaux of $m^z=M_s/3$ and $m^z=2M_s/3$, where $M_s$ is the magnetization saturation value. The universality of finite-size corrections and collective dispersion relations provides a further test ground for low energy effective field theory.

13 pages, 4 figures

References in corpus (9)

• Collisional stability of a three-component degenerate Fermi gas
• Ultracold fermions and the SU(N) Hubbard model
• Three-body recombination in a three-state Fermi gas with widely tunable interactions
• Competing orders in one dimensional spin 3/2 fermionic systems
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• BCS pairing in Fermi systems with several flavors
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions

Cited by in corpus (1)

• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System