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Fermi surface models applied to the underdoped cuprates predict the smallpocket area to be strongly dependent on doping whereas quantum oscillations inYBa2Cu3O6+x find precisely the opposite to be true; seemingly at odds with theLuttinger volume. We show that such behavior can be explained by anincommensurate antinodal Fermi surface nesting-type instability; furtherexplaining the doping-dependent superstructures seen in cuprates using scanningtunneling microscopy. We develop a Fermi surface reconstruction schemeinvolving orthogonal density waves in two-dimensions and show that theirincommensurate behavior requires momentum-dependent coupling. A co-operativemodulation of the charge and bond-strength is therefore suggested.

Near doping-independent pocket area from an antinodal Fermi surface instability in underdoped high temperature superconductors