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BCS vs Overhauser pairing in dense (2+1)d QCD

Prashanth Jaikumar·Ismail Zahed
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Abstract

We compare the BCS and Overhauser effect as competing mechanisms for the destabilization of the quark Fermi surface at asymptotically large chemical potential, for the special case of 2 space and 1 time dimension. We use the framework of perturbative one-gluon exchange, which dominates the pairing at $μ/g^2\gg 1$. With screening in matter, we show that in the weak coupling limit the Overhauser effect can compete with the BCS effect only for a sufficiently large number of colors. Both the BCS and the Overhauser gaps are of order $g^{4}/μ$ in Landau gauge.

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Prashanth Jaikumar, Ismail Zahed. 2001-03-21. BCS vs Overhauser pairing in dense (2+1)d QCD. https://doi.org/10.1103/physrevd.64.014035

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