Shear Viscosity at the Ising-nematic Quantum Critical Point in Two Dimensional Metals
Journal Article - Open Access
Department of Physics, Harvard University Cambridge United States
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In an isotropic strongly interacting quantum liquid without quasiparticles, general scaling argumentsimply that the dimensionless ratio kB s, where is the shear viscosity and s is theentropy density, is a universal number. We compute the shear viscosity of the Ising-nematic criticalpoint of metals in spatial dimension d 2 by an expansion below d 52. The anisotropy associatedwith directions parallel and normal to the Fermi surface leads to a violation of the scalingexpectations scales in the same manner as a chiral conductivity, and the ratio s diverges atlow temperature T as T2z, where z is the dynamic critical exponent for fermionic excitationsdispersing normal to the Fermi surface.