Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-02-08
Phys. Rev. B 76 (2007) 085120
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 5 figures, expanded version with additional text, references and figures
Scientific paper
10.1103/PhysRevB.76.085120
We investigate pairing and quantum phase transitions in the one-dimensional two-component Fermi atomic gas in an external field. The phase diagram, critical fields, magnetization and local pairing correlation are obtained analytically via the exact thermodynamic Bethe ansatz solution. At zero temperature, bound pairs of fermions with opposite spin states form a singlet ground state when the external field $H < H_{c1}$. A completely ferromagnetic phase without pairing occurs when the external field $H > H_{c2}$. In the region $H_{c1} < H < H_{c2}$ we observe a mixed phase of matter in which paired and unpaired atoms coexist. The phase diagram is reminiscent of that of type II superconductors. For temperatures below the degenerate temperature and in the absence of an external field, the bound pairs of fermions form hard-core bosons obeying generalized exclusion statistics.
Batchelor Murray T.
Bortz Michael
Guan X.-W.
Lee Chaohong
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