Cooper instability in uniform electron gas: Irrelevance of Kohn-Luttinger mechanism
ORAL
Abstract
We study the Cooper instability in jellium model in the controlled regime of
small to intermediate values of the Coulomb parameter r_s <= 2.
We confirm that superconductivity naturally emerges from purely repulsive interactions
described by the Kukkonen-Overhauser vertex function. By employing
the implicit renormalization approach we reveal that even in the small
r_s limit, the dominant mechanism behind Cooper instability is based on
dynamic screening of the Coulomb interaction, whereas the Kohn-Luttinger
contribution is negligibly small and, thus, not relevant.
small to intermediate values of the Coulomb parameter r_s <= 2.
We confirm that superconductivity naturally emerges from purely repulsive interactions
described by the Kukkonen-Overhauser vertex function. By employing
the implicit renormalization approach we reveal that even in the small
r_s limit, the dominant mechanism behind Cooper instability is based on
dynamic screening of the Coulomb interaction, whereas the Kohn-Luttinger
contribution is negligibly small and, thus, not relevant.
*The work by NP and BS was supported by the National Science Foundation under grant DMR-1720465.The work by XC was supported by the MURI Program "Advanced quantum materials -- a new frontier for ultracold atoms" from AFOSR.The work by TW and KC was supported by the Simons Collaboration on the Many Electron Problem.
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Presenters
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Tao Wang
- University of Massachusetts Amherst