A study of cooperative breathing-mode in molecular chains

Abstract

Using a controlled analytic non-perturbative treatment, that accounts for the quantum nature of the phonons, we derive a model that generically describes cooperative breathing-mode at strong electron-phonon interaction in one-band one-dimensional systems. The effective model involves a {\em next-nearest-neighbor} hopping (that dominates over the nearest-neighbor hopping at strong coupling) and a nearest-neighbor repulsion that is significantly enhanced due to incompatibility of neighboring dilations/compressions. At non-half filling, upon tuning the electron-phonon coupling, the system undergoes a period-doubling second-order quantum phase transition from a Luttinger liquid to a {\em conducting commensurate} charge-density-wave state: a phenomenon absent in both the Holstein model and the t-V model. Using fidelity to study the nature of the quantum phase transition, we find that the fidelity susceptibility shows a superextensive power law divergence as well as a remarkable scaling behavior: both together establish a second-order transition.

Added new Section IV and revised Appendix B

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• Giant magnetoelectric effect in pure manganite-manganite heterostructures
• An analysis of the $t_2-V$ model
• Study of long-range orders of hard-core bosons coupled to cooperative normal modes in two-dimensional lattices
• Fractional-quantum-Hall-effect (FQHE) in 1D Hubbard models
• Phase diagram of Hubbard-Holstein model on 4-leg tube system at quarter-filling
• Mixed-order transition and tricritical point associated with checkerboard supersolidity in the two-dimensional $t_2-V_1$ model
• Coexistence of long-range orders in a Bose-Holstein model