Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-10-08
Annals Phys.324:897-919,2009
Physics
Condensed Matter
Other Condensed Matter
22 pages, 10 figures; version to appear in Ann. Phys
Scientific paper
10.1016/j.aop.2008.10.011
We propose to use a two-species Fermi gas with the interspecies s-wave Feshbach resonance to realize p-wave superfluidity in two dimensions. By confining one species of fermions in a two-dimensional plane immersed in the background three-dimensional Fermi sea of the other species, an attractive interaction is induced between two-dimensional fermions. We compute the pairing gap in the weak-coupling regime and show that it has the symmetry of p_x+ip_y. Because the magnitude of the pairing gap increases toward the unitarity limit, it is possible that the critical temperature for the p_x+ip_y-wave superfluidity becomes within experimental reach. The resulting system has a potential application to topological quantum computation using vortices with non-Abelian statistics. We also discuss aspects of our system in the unitarity limit as a "nonrelativistic defect conformal field theory (CFT)". The reduced Schr\"odinger algebra, operator-state correspondence, scaling dimensions of composite operators, and operator product expansions are investigated.
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