Time-Reversal-Breaking and $d$-Wave Superfluidity of Ultracold Dipolar Fermions in Optical Lattices
Bulletin of the American Physical Society(2013)
Abstract
We describe possible superfluid phases of ultracold dipolar fermions in
optical lattices for two-dimensional systems. Considering the many-body
screening of dipolar interactions at larger filling factors, we show that
several superfluid phases with distinct pairing symmetries naturally emerge in
the singlet channel: local $s$-wave $(sl)$, extended $s$-wave $(se)$, $d$-wave
$(d)$ or time-reversal-symmetry breaking $(sl + se \pm id)$-wave. The
temperature versus filling factor phase diagram indicates that $d$-wave is
favored near half-filling, that $(sl + se)$-wave is favored near zero or full
filling, and that time-reversal-breaking $(sl + se \pm id)$-wave is favored in
between. When a harmonic trap is included a sequence of phases can exist in the
cloud depending on the filling factor at the center of the trap. Most notably
in the region where the $(sl + se \pm id)$-wave superfluid exists, spontaneous
currents are generated, and may be detected using velocity sensitive Bragg
spectroscopy.
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Key words
time reversal,phase diagram,time reversal symmetry,optical lattice
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