Electronic phase transitions in one-dimensional spinless fermion model with competing interactions
A. K. Zhuravlev (1), M. I. Katsnelson (1), A. V. Trefilov (2) ((1), Institute of Metal Physics, Ekaterinburg, Russia, (2) Kurchatov Institute,, Moscow, Russia)

TL;DR
This paper investigates how next-nearest neighbor interactions influence electronic phase transitions in a one-dimensional spinless fermion model, revealing conditions for metal-insulator and topological transitions with detailed phase diagrams.
Contribution
It provides a detailed numerical analysis of the ground state and phase diagrams for the 1D spinless fermion model with competing interactions, highlighting the possibility of topological transitions.
Findings
Next-nearest neighbor interactions induce metal-insulator transitions.
Large NNN transfer integrals can cause electronic topological transitions.
Phase diagrams illustrating various transition regimes are presented.
Abstract
An accurate numerical consideration is carried out of the ground state for the simplified model which is traditionally used for the description of Verwey transition and related phenomena. In the framework of 1D spinless fermion model, the effects of next-nearest neighbour (NNN) interaction on the metal-insulator transition are investigated for electron concentrations 1/2 and 2/3. It is shown that for large enough NNN transfer integrals the electronic topological transition of metal-metal type is also possible. The corresponding phase diagrams are presented.
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