Self-Organized Electronic Extended van Hove Singularity as Lattice Dynamic Confinement Effect

A mechanism of self-consistently induced one-dimensional singularities of electronic density of states (DOS) in cuprates is proposed. It is found that unidirectional dynamic confinement of electrons motion by quantum lattice vibrations (presumably, by B1g buckling mode) may cause transition into ordered electronic state possessing extended “van Hove singularities” of Floquet modes. This finding may explain observed enhancement of the ordering instability in the anti-nodal regions of the “Fermi surface” in the under- and optimally doped high-Tc cuprates. Also predicted is a destruction of the dynamic electron-lattice confinement effect in strong enough magnetic field that simultaneously maintains the electronic order.