Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations

Details Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations

2007-10-06

arxiv.org/abs/0710.1353v1

Phys Rev Lett 100, 116405 (2008).

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevLett.100.116405

We present an exact Quantum Monte Carlo study of the attractive 1-dimensional Hubbard model with imbalanced fermion population. The pair-pair correlation function, which decays monotonically in the absence of polarization P, develops oscillations when P is nonzero, characteristic of Fulde-Ferrell-Larkin-Ovchinnikov phase. The pair momentum distribution peaks at a momentum equal to the difference in the Fermi momenta. At strong coupling, the minority and majority momentum distributions are shown to be deformed, reflecting the presence of the other species, and its Fermi surface. The FFLO oscillations survive the presence of a confining potential, and the local polarization at the trap center exhibits a marked dip, similar to that observed experimentally.

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