Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-04-15
EPL, 86 (2009) 50003
Physics
Condensed Matter
Statistical Mechanics
13 pages, 4 figures
Scientific paper
10.1209/0295-5075/86/50003
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.
Batchelor Murray T.
Guan X.-W.
Lee Chaohong
Lee Yen-Jie
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