Self-organized electronic extended van Hove singularity as lattice dynamic confinement effect

A mechanism of self-organized one-dimensionality in correlated electron system coupled to optical phonon mode is proposed. It is found that a lattice vibration may compactify electron motion effectively to a one-dimensional space and trigger quantum phase transition into ordered state with extended van Hove singularities in the electronic Floquet modes spectrum. This mechanism may be of relevance for observed enhancement of the ordering instability in the anti-nodal regions of the Fermi surface in the high-Tc cuprates, which is accompanied by anomalous softening of some optical phonon modes. A destruction of the effect by special microwave radiation is predicted, followed by a partial release of the zero-point vibration energy of the coupled optical phonon mode.