Delocalization of vibrational modes caused by electric dipole interaction

Abstract

The electric dipole interaction of vibrational modes destroys their localization. Real-space renormalization is constructed for the process of delocalization. The renormalization-group equation for the distribution of dipole parameters is similar to the Boltzmann kinetic equation. Conservation laws are found and an H theorem is proven. Stationary distributions form a six-parameter manifold of fixed points. The two-point dynamical correlation function has the form ${t}^{\mathrm{\ensuremath{-}}1}$F(${t}^{\mathrm{\ensuremath{-}}1/3}$r), where F(x) is a universal function.