Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-03-27
New J. Phys. 14 (2012) 013008
Physics
Condensed Matter
Statistical Mechanics
12 pages, 3 figures, revised version, accepted in New J. Phys
Scientific paper
10.1088/1367-2630/14/1/013008
We investigate trions, paired states and quantum phase transitions in one-dimensional SU(3) attractive fermions in external fields by means of the Bethe ansatz and the dressed energy formalism. Analytical results for the ground state energy, critical fields and complete phase diagrams are presented for weak and strong regimes. Numerical solutions of the dressed energy equations allow us to examine how the different phase boundaries modify by varying the inter-component coupling throughout the whole attractive regimes. The pure trionic phase reduces smoothly by decreasing this coupling until the weak limit is reached. In this weak regime, a pure BCS-paired phase can be sustained under certain nonlinear Zeeman splittings. Finally we confirm that the analytic expressions for the physical quantities and resulting phase diagrams are highly accurate in the weak and strong coupling regimes.
Foerster Angela
Kuhn Carlos C. N.
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