Fermi pockets in a d-wave superconductor with coexisting loop-current   order
  A d-wave superconducting phase with coexisting intra-unit-cell orbital current order has the remarkable property that it supports finite size Fermi pockets of Bougoliubov quasiparticles. Experimentally detectable consequences of this include a residual $T$-linear term in the specific heat in the absence of disorder and residual features in the thermal and microwave conductivity in the low disorder limit. 
S. A. Kivelson and C. M. Varma
cond-mat.str-el cond-mat.supr-con