Scaling behaviour and superconducting instability in anisotropic non-Fermi liquids
arXiv:1609.00020 · doi:10.1016/j.aop.2016.11.009
Abstract
We study the scaling behaviour of the optical conductivity , free energy density , and shear viscosity of the quantum critical point associated with the spin density wave phase transition for a two-dimensional metallic system with symmetry. A non-Fermi liquid behaviour emerges at two pairs of isolated points on the Fermi surface, due to the coupling of a bosonic order parameter to fermionic excitations at those so-called ``hot-spots''. We find that near the hot-spots, and obey the scalings expected for such an anisotropic system, and the direction-dependent viscosity to entropy density ratio is not a universal number due to the anisotropy. Lastly, we also estimate the effect of the fermion-boson coupling at the hot-spots on superconducting instabilities.
typos in some equations corrected
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