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s$_\pm$ pairing near a Lifshitz transition...

by Vivek Mishra, D. Scalapino, Thomas A Maier
Publication Type
Journal
Journal Name
Scientific Reports
Publication Date
Page Number
32078
Volume
6

Observation of robust superconductivity in some of the iron based
superconductors in the vicinity of a Lifshitz point where a spin density wave
instability is suppressed as the {hole} band drops below the Fermi energy
raise questions for spin-fluctuation theories. Here we discuss spin-fluctuation pairing
for a bilayer Hubbard model, which goes through such a Lifshitz transition. We find
s$_\pm$ pairing with a transition temperature that peaks beyond the Lifshitz
point and a gap function that has essentially the same
magnitude but opposite sign on the incipient hole band as it does on the electron band that has
a Fermi surface.