Scaling behaviour and superconducting instability in anisotropic nonFermi liquids
Abstract
We study the scaling behaviour of the optical conductivity (σ) , free energy density (F) and shear viscosity of the quantum critical point associated with spin density wave phase transition for a twodimensional metallic system with C_{2} symmetry. A nonFermi 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 socalled "hotspots". We find that near the hotspots, σ and F obey the scalings expected for such an anisotropic system, and the directiondependent viscosity to entropy density ratio is not a universal number due to the anisotropy. Lastly, we also estimate the effect of the fermionboson coupling at the hotspots on superconducting instabilities.
 Publication:

Annals of Physics
 Pub Date:
 January 2017
 DOI:
 10.1016/j.aop.2016.11.009
 arXiv:
 arXiv:1609.00020
 Bibcode:
 2017AnPhy.376...89M
 Keywords:

 NonFermiliquid SDW anisotropic scaling;
 Condensed Matter  Strongly Correlated Electrons;
 High Energy Physics  Theory
 EPrint:
 typos in some equations corrected