Effect of electron-lattice interaction on the phase separation in strongly correlated electron systems with two types of charge carriers
A.O. Sboychakov, A.L. Rakhmanov, and K.I. Kugel

TL;DR
This paper investigates how electron-lattice interactions influence phase separation in strongly correlated two-band systems, revealing significant effects on doping ranges and potential abrupt transitions between different strain states.
Contribution
It introduces a detailed analysis of electron-lattice effects within the two-band Hubbard model, highlighting their impact on phase separation and transition behavior.
Findings
Electron-lattice interaction alters effective bandwidths.
It shifts band positions and chemical potential.
Can induce jump-like transitions between strain states.
Abstract
The effect of electron-lattice interaction is studied for a strongly correlated electron system described by the two-band Hubbard model. A two-fold effect of electron-lattice interaction is taken into account: in non-diagonal terms, it changes the effective bandwidth, whereas in diagonal terms, it shifts the positions of the bands and the chemical potential. It is shown that this interaction significantly affects the doping range corresponding to the electronic phase separation and can even lead to a jump-like transition between states with different values of strains.
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