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.