One-Dimensional Proton Conductor with Strong Short-Range Interactions

Abstract

The energy spectrum of one-dimensional proton conductor described by fermionic model is investigated. The method that allows short-range proton interactions to be taken into account exactly is developed. One-particle proton Green's function is obtained by solving the Larkin equation, while the irreducible Larkin part is calculated in approximation which takes into account the simplest proton scattering processes. It appears that the proton energy spectrum has a band structure and consists of the four groups of the bands. Investigation of the edges of the energy bands and the chemical potential behaviour at different proton concentrations is performed.

Keywords:

• Proton transfer
• hydrogen bond
• strong correlations
• fermion models