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

TL;DR

This paper proposes a mechanism where lattice vibrations induce one-dimensional electronic behavior and phase transitions in correlated systems, potentially explaining phenomena observed in high-Tc cuprates and predicting effects of microwave radiation.

Contribution

It introduces a self-organized lattice-electron interaction mechanism leading to extended van Hove singularities and phase transitions in correlated electron systems.

Findings

Lattice vibrations can effectively confine electron motion to one dimension.

The mechanism explains enhanced ordering instability in high-Tc cuprates.

Microwave radiation can disrupt the self-organized lattice-electron state.

Abstract

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.