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In the scenario of Landau phase transition theory in condensed matterphysics, any thermal dynamic phase transition must be subject to some kind ofbroken symmetries, that are relative to its spin, charge, orbital and lattice.Here we report a rare phase transition at Tp ~120 K or 140 K in layeredmaterials LnCu4-{\delta}P2 (Ln=Eu, Sr) driven by a subtle structural-distortionwithout any broken symmetry on charge, spin and lattice. The variations of thelattice parameters, ({\Delta}Lc/Lc) ~ 0.013% or 0.062%, verified by thermalexpansion, is much less than that for a typical crystalline phase transition(~0.5-1%), but the significant anomaly in heat capacity provides clear evidenceof its intrinsic nature of thermodynamic transition.

A phase transition driven by subtle distortion without broken symmetry on spin, charge and lattice in Layered LnCu4-{\delta}P2(Ln=Eu, Sr)