Quantum Fermi Liquid Decription of (Quasi)-One-Dimensional Electronic Systems

TL;DR

This paper develops a quantum Fermi liquid model for (quasi)-1D electronic systems, extending the SSH model to include electron-electron interactions and explaining spin-charge separation with topological solitons.

Contribution

It introduces a generalized quantum Fermi liquid framework for (quasi)-1D systems, broadening the applicability of the SSH model to strongly correlated and interaction-rich environments.

Findings

Spin-charge separation can be realized in (quasi)-1D quantum Fermi liquids.

The model explains the topological origin of spin-charge separation.

It extends the SSH model to systems with strong electron-electron, electron-phonon, and electron-photon interactions.

Abstract

The concept of quantum Fermi liquid for description of (quasi)-1D electronic systems is recovered. The model of (quasi)-1D quantum Fermi liquid is developed on the example of trans-polyacetylene and it is the generalization of well-known model of organic (quasi)-1D conductors, elaborated by Su, Schrieffer and Heeger (SSH-model). It is shown, that spin-charge separation effect can be realized in (quasi)-1D quantum Fermi liquids. It has topological soliton origin in distinction from spinon-holon spin-charge separation effect in Tomonaga-Luttinger liquids and electronic systems like them. The model allows to extend the limits of the applicability of SSH-model to the electron-electron correlated (quasi)-1D-systems without restriction on electron-electron interaction force. The (quasi)-1D- systems with strong electron-phonon interaction and/or strong electron-photon interaction can be also described within the framework of given 1D quantum Fermi liquid model. Practical significance of the model proposed consists in the clarification of the nature of charge and spin carriers and in the clarification of the origin of mechanisms of quasiparticles' interaction in the (quasi)-1D-systems, which are the objects of nanoelectronics, spintronics and the other modern nanotechnology branches.