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arXiv · 2308.04113

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

Zsolt Gulacsi
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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.

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Zsolt Gulacsi. 2023-08-08. Pentagon chain with spin orbit interactions: exact many-body ground states in the interacting case. https://arxiv.org/abs/2308.04113

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