Theory of Lattice and Electronic Fluctuations in Weakly Localized Spin-Peierls Systems

TL;DR

This paper develops a theoretical framework using renormalization group and functional integral techniques to study how lattice fluctuations affect electronic properties in weakly localized spin-Peierls systems, with predictions matching experimental data.

Contribution

It introduces a novel theoretical approach combining renormalization group and functional integrals to analyze lattice and electronic fluctuations in spin-Peierls systems.

Findings

Predicted temperature-dependent magnetic susceptibility.

Calculated nuclear relaxation rates.

Compared theoretical results with experimental data for (TMTTF)$_{2}$PF$_{6}.

Abstract

A theoretical approach to the influence of one-dimensional lattice fluctuations on electronic properties in weakly localized spin-Peierls systems is proposed using the renormalization group and the functional integral techniques. The interplay between the renormalization group flow of correlated electrons and one-dimensional lattice fluctuations is taken into account by the one-dimensional functional integral method in the adiabatic limit. Calculations of spin-Peierls precursor effects on response functions are carried out explicitely and the prediction for the temperature dependent magnetic susceptibility and nuclear relaxation is compared with available experimental data for (TMTTF)$_{2}$PF$_{6}$.