Beyond Hubbard: the role of correlated hopping interaction in superconductors and quantum dot devices

Fuente: arXiv
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Autori principali: Wysokiński, Karol I., Wysokiński, Marcin M.
Natura: Preprint
Pubblicazione: 2026
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author Wysokiński, Karol I.
Wysokiński, Marcin M.
author_facet Wysokiński, Karol I.
Wysokiński, Marcin M.
contents We investigate the role of strong Coulomb interactions beyond the standard Hubbard model in two distinct physical contexts. First, we analyze the superconducting phase transition occurring near the Mott metal-insulator transition. Second, we study transport properties of artificial nano-scale structures containing quantum dots coupled to external electrodes. In both cases, we focus on the impact of the correlated (assisted) hopping (CH) interaction. For superconductors, CH acts as a driving mechanism for the phase transition and modifies the spectral properties of the system. We present the evolution of the spectral function as the system approaches the Mott-type transition under varying model parameters. In quantum-dot-based devices, CH influences the tunneling amplitude between the dot and metallic leads. We demonstrate that the characteristic changes in the conductance of a normal metal-quantum dot-normal metal structure provide a clear signature of the presence and sign of CH interaction.
format Preprint
id arxiv_https___arxiv_org_abs_2601_10619
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Beyond Hubbard: the role of correlated hopping interaction in superconductors and quantum dot devices
Wysokiński, Karol I.
Wysokiński, Marcin M.
Strongly Correlated Electrons
We investigate the role of strong Coulomb interactions beyond the standard Hubbard model in two distinct physical contexts. First, we analyze the superconducting phase transition occurring near the Mott metal-insulator transition. Second, we study transport properties of artificial nano-scale structures containing quantum dots coupled to external electrodes. In both cases, we focus on the impact of the correlated (assisted) hopping (CH) interaction. For superconductors, CH acts as a driving mechanism for the phase transition and modifies the spectral properties of the system. We present the evolution of the spectral function as the system approaches the Mott-type transition under varying model parameters. In quantum-dot-based devices, CH influences the tunneling amplitude between the dot and metallic leads. We demonstrate that the characteristic changes in the conductance of a normal metal-quantum dot-normal metal structure provide a clear signature of the presence and sign of CH interaction.
title Beyond Hubbard: the role of correlated hopping interaction in superconductors and quantum dot devices
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2601.10619