Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Modern Physics Letters B

FORMATION OF COOPER PAIRS IN THE HUBBARD MODEL

N. M. Bogoliubov, V. E. Korepin

Published Jan 1, 1988• 28 citations
Publisher

Abstract

It is shown that Cooper pairs of electrons are formed in the one dimensional Hubbard model.
DOI
10.1142/s0217984988001387

Related papers

On the existence of Cooper pairs in the Hubbard Model

Valentin Voroshilov

By means of a new canonical transformation for the one-band Hubbard model at half filling we show the existence of Cooper pairs formed by strongly interacting quasiparticles.

arXiv:0902.1924•Feb 11, 2009•0 citations

Energy Gap of Electronic Pair Formation in the One-Dimensional Attractive Hubbard Model

J. M. P. Carmelo

Springer series in solid-state sciences•Jan 1, 1990•0 citations

Superconducting fluctuations in the Hubbard model with an attractive on-site interaction in one dimension

P. Schlottmann, Kong-Ju-Bock Lee

The low-temperature thermodynamics of the one-dimensional Hubbard model with attractive on-site interaction of the electrons is discussed within the framework of the Bethe ansatz for the wave function. At low T the dominant states consist of spin-paired electrons (Cooper-pair-like) and excitations of such pairs (without breaking up the singlet bound states). A critical field Hc (energy required to depair a Cooper pair) is obtained at T=0 (note that the superconducting Tc =0), which disappears for T≠0. There is no magnetic response at T=0 for H<Hc . The one-electron correlation function falls off exponentially with distance, while the singlet pair–singlet pair correlation decreases with a power law. The specific heat is linear in temperature, which is possibly a consequence of the dimension. The elementary excitations of the system are discussed. The excitation spectrum shows some analogies to that of resonant valence bonds in two dimensions.

Journal of Applied Physics•May 1, 1990•1 citation

On the spontaneous magnetic order in the Hubbard model

Janusz Jędrzejewski, André F. Verbeure

A rigorous proof is given of the absence of spontaneous magnetization in the Hubbard model in one and two dimensions.

Journal of Mathematical Physics•Apr 1, 1981•1 citation

Magnonic superconductivity

Khachatur G. Nazaryan, Liang Fu

We uncover a superconducting state with partial spin polarization induced by a magnetic field. This state, which we call “magnonic superconductor,” lacks a conventional pairing order parameter but is characterized instead by a composite order parameter that represents the binding of electron pairs and magnons. We rigorously demonstrate the existence of magnonic superconductivity with high transition temperature in one-dimensional and two-dimensional Hubbard models with repulsive interaction. We further show that magnonic Cooper pairs can attract to form higher-charge bound states, which can give rise to charge-6 e superconductivity.

arXiv:2403.14756•Science Advances•Nov 29, 2024•4 citations

The cooper pair creation in fermi liquids with weak interaction

W. Kumala, R. Gonczarek

physica status solidi (b)•Sep 1, 1996•0 citations
The low-temperature thermodynamics of the one-dimensional Hubbard model with attractive on-site interaction of the electrons is discussed within the framework of the Bethe ansatz for the wave function. At low T the dominant states consist of spin-paired electrons (Cooper-pair-like) and excitations of such pairs (without breaking up the singlet bound states). A critical field Hc (energy required to depair a Cooper pair) is obtained at T=0 (note that the superconducting Tc =0), which disappears for T≠0. There is no magnetic response at T=0 for H<Hc . The one-electron correlation function falls off exponentially with distance, while the singlet pair–singlet pair correlation decreases with a power law. The specific heat is linear in temperature, which is possibly a consequence of the dimension. The elementary excitations of the system are discussed. The excitation spectrum shows some analogies to that of resonant valence bonds in two dimensions.
We uncover a superconducting state with partial spin polarization induced by a magnetic field. This state, which we call “magnonic superconductor,” lacks a conventional pairing order parameter but is characterized instead by a composite order parameter that represents the binding of electron pairs and magnons. We rigorously demonstrate the existence of magnonic superconductivity with high transition temperature in one-dimensional and two-dimensional Hubbard models with repulsive interaction. We further show that magnonic Cooper pairs can attract to form higher-charge bound states, which can give rise to charge-6 e superconductivity.