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We study d-wave Fermi surface deformations (dFSD), the so-called Pomeranchukinstability, on bilayer and infinite-layer square lattices. Since the orderparameter of the dFSD has Ising symmetry, there are two stacking patterns alongthe c axis: (+,+) and (+,-). We find that, as long as the c axis dispersion isfinite at the saddle points of the in-plane band dispersion, the (+,-) stackingis usually favored independently on the details of interlayer coupling,yielding no macroscopic anisotropy. The dFSD provides unique spontaneoussymmetry breaking that is self-masked in layer materials.

Self-masking of spontaneous symmetry breaking in layer materials