Charge correlation, doublon-holon binding and screening in the doped Hubbard model

Electronic correlations arise from the competition between the electrons' kinetic and Coulomb interaction energy and give rise to a rich phase diagram and many emergent quasiparticles. The binding of doubly-occupied and empty sites into a doublon-holon exciton is an example of this in the Hubba...

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Veröffentlicht in:arXiv.org 2024-09
Hauptverfasser: Kapetanović, Edin, Guglielmo Nicola Gigante, Schüler, Malte, Wehling, Tim O, Erik van Loon
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Guglielmo Nicola Gigante
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Wehling, Tim O
Erik van Loon
description Electronic correlations arise from the competition between the electrons' kinetic and Coulomb interaction energy and give rise to a rich phase diagram and many emergent quasiparticles. The binding of doubly-occupied and empty sites into a doublon-holon exciton is an example of this in the Hubbard model. Unlike traditional excitons in semiconductors, in the Hubbard model it is the kinetic energy which provides the binding energy. Upon doping, we find the emergence of exciton complexes, such as a holon-doublon-holon trion. The appearance of these low-lying collective excitations make screening more effective in the doped system. As a result, Hubbard-based modelling of correlated materials should use different values of \(U\) for the doped system and the insulating parent compound, which we illustrate using the cuprates as an example.
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subjects Binding energy
Correlation
Cuprates
Elementary excitations
Excitons
Insulation
Kinetic energy
Phase diagrams
Screening
title Charge correlation, doublon-holon binding and screening in the doped Hubbard model
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