Charge and current orders in the cuprates: implications from spin-fermion model with overlapping hot spots.

Experiments carried over the last years on the underdoped cuprates suggest the presence of a variety of symmetry-breaking phenomena in the pseudogap phase. Charge-density waves, breaking of C₄ rotational symmetry as well as time-reversal symmetry breaking have all been observed in several cuprate families. In this regard, theoretical models where multiple non-superconducting orders emerge are of particular interest. We consider the spin-fermion model in the regime where adjacent 'hot spots' on the Fermi surface overlap and merge due to the finite antiferromagnetic correlation length. Focusing on the particle-hole instabilities we obtain a rich phase diagram with the chemical potential and the Fermi surface curvature in the antinodal regions being the control parameters. We find evidence for d-wave Pomeranchuk instability, d-form factor charge density wave as well as commensurate and incommensurate staggered bond current phases. The latter are found to be promoted by the curvature. Considering the appropriate parameter range for the hole-doped cuprates, we discuss the possible relation of these results to the pseudogap phase.