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Theory of the nodal nematic quantum phase transition in superconductors

Abstract:


I will discuss the character of the Ising nematic quantum phase  transition deep inside  a d-wave superconducting state with nodal quasiparticles in a 2  dimensional  tetragonal crystal. We found that, within a 1/N expansion, the  transition is continuous.   To leading order in 1/N , quantum fluctuations
enhance the dispersion anisotropy of the nodal excitations, and cause  strong scattering  which critically broadens the quasiparticle (qp) peaks in the  spectral function,  except in a small k- space wedge about the Fermi surface where the  qp's remain sharp.