Pentagon chain with spin orbit interactions: exact many-body ground states in the interacting case

TL;DR

This paper derives exact many-body ground states for pentagon chain conducting polymers considering complex interactions and external fields, revealing diverse physical phenomena including charge density waves and metal-insulator transitions.

Contribution

It introduces a novel positive semidefinite operator technique to exactly solve for ground states in strongly correlated systems with spin-orbit interactions and external fields.

Findings

Ground states exhibit charge density waves and metal-insulator transitions.

External magnetic fields can modify static charge distributions.

The technique handles complex interactions in non-integrable systems.

Abstract

Based on a positive semidefinite operator technique, exact ground states are deduced for the non-integrable conducting polymers possessing pentagon type of unit cell. The study is done in the presence of many-body spin-orbit interaction (SOI), local and nearest neighbor Coulomb repulsion (NNCR) and presence of external $E$ electric and $B$ magnetic fields, such that the effects of $B$ on both orbital and spin degrees of freedom is considered. The SOI, NNCR, and presented external field configurations presence in exact conducting polymer ground states is a novelty, so the development of the technique for the treatment possibility of such strongly correlated cases is presented in details. The deduced ground states show a broad spectrum of physical characteristics ranging from charge density waves, metal-insulator transitions, to interesting external field driven effects as e.g. modification possibility of a static charge distribution by a static external magnetic field.